THE PHASES DIFFERENTIAL ASTROMETRY DATA
ARCHIVE. I. MEASUREMENTS AND DESCRIPTION
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Muterspaugh, Matthew W., Benjamin F. Lane, S. R. Kulkarni,
Maciej Konacki, Bernard F. Burke, M. M. Colavita, M. Shao,
Sloane J. Wiktorowicz, and J. O’Connell. “THE PHASES
DIFFERENTIAL ASTROMETRY DATA ARCHIVE. I.
MEASUREMENTS AND DESCRIPTION.” The Astronomical
Journal 140, no. 6 (October 20, 2010): 1579–1622. © 2010 The
American Astronomical Society
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http://dx.doi.org/10.1088/0004-6256/140/6/1579
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The Astronomical Journal, 140:1579–1622, 2010 December
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THE PHASES DIFFERENTIAL ASTROMETRY DATA ARCHIVE. I. MEASUREMENTS AND DESCRIPTION
Matthew W. Muterspaugh1,2 , Benjamin F. Lane3 , S. R. Kulkarni4 , Maciej Konacki5,6 , Bernard F. Burke7 ,
M. M. Colavita8 , M. Shao8 , Sloane J. Wiktorowicz9 , and J. O’Connell1
1
2
Department of Mathematics and Physics, College of Arts and Sciences, Tennessee State University,
Boswell Science Hall, Nashville, TN 37209, USA; matthew1@coe.tsuniv.edu
Center of Excellence in Information Systems, Tennessee State University, 3500 John A. Merritt Boulevard, Box No. 9501, Nashville, TN 37209-1561, USA
3 Draper Laboratory, 555 Technology Square, Cambridge, MA 02139-3563, USA; blane@draper.com
4 Division of Physics, Mathematics and Astronomy, 105-24, California Institute of Technology, Pasadena, CA 91125, USA
5 Nicolaus Copernicus Astronomical Center, Polish Academy of Sciences, Rabianska 8, 87-100 Torun, Poland; maciej@ncac.torun.pl
6 Astronomical Observatory, Adam Mickiewicz University, ul. Sloneczna 36, 60-286 Poznan, Poland
7 MIT Kavli Institute for Astrophysics and Space Research, MIT Department of Physics, 70 Vassar Street, Cambridge, MA 02139, USA
8 Jet Propulsion Laboratory, California Institute of Technology, 4800 Oak Grove Drive, Pasadena, CA 91109, USA
9 Department of Astronomy, University of California, Mail Code 3411, Berkeley, CA 94720, USA
Received 2010 July 8; accepted 2010 September 4; published 2010 October 20
ABSTRACT
The Palomar High-precision Astrometric Search for Exoplanet Systems (PHASES) monitored 51 subarcsecond
binary systems to determine precision binary orbits, study the geometries of triple and quadruple star systems,
and discover previously unknown faint astrometric companions as small as giant planets. PHASES measurements
made with the Palomar Testbed Interferometer (PTI) from 2002 until PTI ceased normal operations in late 2008 are
presented. Infrared differential photometry of several PHASES targets were measured with Keck Adaptive Optics
and are presented.
Key words: astrometry – binaries: close – binaries: visual – techniques: interferometric
Online-only material: color figure, machine-readable and VO tables
Astrometric measurements were made at PTI, which was
located on Palomar Mountain near San Diego, CA. It was
developed by the Jet Propulsion Laboratory, California Institute
of Technology for NASA, as a testbed for interferometric
techniques applicable to the Keck Interferometer and other
missions such as the Space Interferometry Mission (SIM). It
operated in the J (1.2 μm), H (1.6 μm), and K (2.2 μm) bands,
and combined starlight from two out of three available 40 cm
apertures. The apertures formed a triangle with one 110 and
two 87 m baselines. PHASES observations began in 2002 and
continued through 2008 November when PTI ceased routine
operations.
1. INTRODUCTION
A technique has been developed to obtain high-precision
(35 μas) astrometry of close stellar pairs (separation less than
1 arcsec; Lane & Muterspaugh 2004) using long-baseline infrared interferometry at the Palomar Testbed Interferometer
(PTI; Colavita et al. 1999). This technique was applied to 51 binary systems as the Palomar High-precision Astrometric Search
for Exoplanet Systems (PHASES) program during 2002–2008.
PHASES science results included precision binary orbits and
component masses, studies of the geometries of and physical
properties of stars in triple and quadruple star systems, and limits on the presence of giant planet companions to the binaries.
This paper is the first in a series analyzing the final results
of the PHASES project as of its completion in late 2008. This
paper describes the observing method, sources of measurement
uncertainties, limits of observing precisions, derives empirical
scaling rules to account for noise sources beyond those predicted by the standard reduction algorithms, and presents the
full catalog of astrometric measurements from PHASES. The
second paper combines PHASES astrometry, astrometric measurements made by other methods, and radial velocity observations (where available) to determine orbital solutions to several
binaries’ Keplerian motions, determining physical properties
such as component masses and system distance when possible
(Muterspaugh et al. 2010c). The third paper presents limits on
the existence of substellar tertiary companions orbiting either
the primary or secondary stars in those systems that are found
to be consistent with being simple binaries (Muterspaugh et al.
2010a). Paper IV presents orbital solutions to a known triple star
system (63 Gem A = HD 58728) and a newly discovered triple
system (HR 2896 = HD 60318) (Muterspaugh et al. 2010b).
Finally, Paper V presents candidate substellar companions to
PHASES binaries as detected by astrometry (Muterspaugh et al.
2010d).
2. OBSERVATIONS AND DATA PROCESSING
The initial PHASES observing method and data processing
algorithm were presented by Lane & Muterspaugh (2004). Incremental improvements to these procedures were updated in
papers from the PHASES science program. The final observing
procedure and data processing algorithm is presented in complete form here. All astrometry measurements were reprocessed
using the final algorithm presented here. Measurements taken
with different instrumental configurations than the standard one
presented here (for example, those lacking longitudinal dispersion compensation) are noted later in Table 4.
2.1. Astrometric Observation Method
2.1.1. Optical Interferometers
In an optical interferometer, light is collected at two or more
apertures and brought to a central location where the beams are
combined and a fringe pattern produced on a detector (at PTI, the
detectors were NICMOS and HAWAII infrared arrays, of which
only a few pixels were used). For a broadband source of central
wavelength λ and optical bandwidth Δλ (for PTI Δλ = 0.4 μm),
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MUTERSPAUGH ET AL.
the fringe pattern is limited in extent and appears only when
the optical paths through the arms of the interferometer are
equalized to within a coherence length (Λ = λ2 /Δλ). For a
two-aperture interferometer, neglecting dispersion, the intensity
measured at one of the combined beams is given by
sin (π x/Λ)
sin (2π x/λ) ,
(1)
I (x) = I0 1 + V
π x/Λ
where V is the fringe contrast or “visibility,” which can be
related to the morphology of the source, and x is the optical path
difference between arms of the interferometer. More detailed
analysis of the operation of optical interferometers can be found
in Principles of Long Baseline Stellar Interferometry (Lawson
2000).
2.1.2. Interferometric Astrometry
The location of the resulting interference fringes is related to
the position of the target star and the observing geometry via
−
→ −
→
−
→
d = B · S + δa ( S , t) + c,
(2)
where d is the optical path length one must introduce between
the two arms of the interferometer to find fringes. This quantity
−
→
is often called the “delay.” B is the baseline—the vector
−
→
connecting the two apertures. S is the unit vector in the
source direction, and c is a constant additional scalar delay
−
→
introduced by the instrument. The term δa ( S , t) is related to
the differential amount of path introduced by the atmosphere
over each telescope due to variations in refractive index. For
a 100 m baseline interferometer an astrometric precision of
10 μas corresponds to knowing d to 5 nm; while difficult, this
is achievable for all terms except that related to the atmospheric
delay. Atmospheric turbulence, which changes over distances
of tens of centimeters and on millisecond timescales, forces one
to use very short exposures (to maintain fringe contrast) and
limits the sensitivity of the instrument. It also severely limits the
astrometric accuracy of a simple interferometer, at least over
large sky-angles.
However, in narrow-angle astrometry one is concerned with
a close pair of stars, and the observable is a differential
astrometric measurement, i.e., one is interested in knowing the
−
→ → −
angle between the two stars ( Δs = −
s2 − →
s1 ). The atmospheric
turbulence is correlated over small angles. If the measurements
of the two stars are simultaneous, or nearly so, the atmospheric
term cancels out. Hence, it is still possible to obtain highprecision “narrow-angle” astrometry.
2.1.3. Subarcsecond Differential Astrometry
As illustrated in Figure 1 the light path of the PHASES
astrometry program was as follows.
1. Light was collected by two of the three siderostats at PTI.
The siderostats had diameter 50 cm and fed 40 cm beam
compressing telescopes. These collimated the 40 cm input
into a 7.5 cm beam.
2. At the siderostat enclosure, a fast steering mirror (FSM)
provided tip–tilt correction for low-order adaptive optics
improvement. The feedback sensor for the tip–tilt system
was located in the beam combining facility (see step (9)),
to include both atmospheric and instrumental sources of
tip–tilt variations.
Vol. 140
3. The collimated beams propagated through pipes to the
central beam combining building. For the north and south
siderostats, the pipes were held at vacuum; for the west
siderostat, the pipe was filled with air.
4. Each collimated beam was directed to a long delay line (DL)
which tracks the sidereal delay rate and receives feedback
from the fringe-tracking beam combiner for removing some
of the atmospheric turbulent delay variations. There were
roughly ±38 m of optical delay available in the long DLs.
5. The collimated beams were recompressed to 2.5 cm collimated beams.
6. Each beam passed through a pair of matched prisms. In
one arm, one prism was on a linear stage to vary the total
glass thickness the starlight passed through. The positions
of these prisms were calibrated using fringes from an
internal light source to minimize the combined longitudinal
dispersion of air path and glass. This calibration also
determined the glass-to-air dispersion correction rate. The
linear stage was operated in open-loop mode to minimize
longitudinal dispersion even as the air path was varied by
the long DLs. Some early measurements were made before
this dispersion compensator was available, as marked in
Table 4.
7. The 2.5 cm collimated beams were split ∼70/30 by
plate beam splitters. The reflected ∼30% of the light was
directed to the “secondary” beam combiner which made
the astrometric science measurement. Red He–Ne LASER
metrology signals were injected at these beam splitters
and propagated through both beam combiners before being
extracted just before the infrared array detectors to monitor
path variations.
8. The ∼70% transmitted light from each beam was directed
through a short DL. These were smaller versions of the
long DLs with a few tens of centimeters of travel. The short
DLs allowed one to set the delay offset between the fringe
tracking and the science beam combiners such that both are
near zero optical delay simultaneously. It also introduced
the 50–100 Hz sawtooth modulation required for sampling
fringes in the fringe tracker, without being in the science
camera’s optical path.
9. After the short DL, the ∼70% of the original light to be
used for fringe tracking was directed to the “primary”
beam combiner. I-band light was extracted using a dichroic
beamsplitter and focused onto quad-cell avalanche photo
diodes. The signal was used as feedback to the fast tip–tilt
mirrors in step 2.
10. The longer-wavelength light was combined using a plate
beam splitter. Half the light was focused on a single pixel
of the NICMOS infrared array for high-signal-to-noise ratio
(S/N) phase tracking. The other half passed through a
single-mode fiber to improve wavefront quality (and system
visibility), then through a low-resolution prism to disperse
the light onto ∼5 pixels for slower group-delay tracking.
Phase- and group-delay signals were fed to the long DLs to
reduce jitter from atmospheric piston motions. This beam
combiner was the same as used for PTI’s standard visibility
mode observations.
11. The ∼30% of the light redirected to the “secondary” table
was used for the astrometric science measurement. The
secondary beam combiner was identical to the first with the
following exceptions.
(a) A piezo-driven scanning mirror added up to ±300 μm
of optical delay to allow scanning within the arcsecond
No. 6, 2010
THE PHASES DIFFERENTIAL ASTROMETRY DATA ARCHIVE. I.
1581
Figure 1. Configuration and light path used at PTI for the PHASES experiment is shown in schematic form; the corresponding description is described in Section 2.1.3.
Note that the path for only one telescope is shown; light from the second telescope travels a similar path.
field of view. The scan was close-loop controlled using
the LASER metrology signal.
(b) No single-mode fiber was used for spatial filtering.
(c) A HAWAII array was used instead of NICMOS.
The entire optical system was realigned at the beginning of
the night and usually updated in the middle of the night, once per
night. Alignment drifts from one night to the next were small.
Standard detector calibrations (gain, bias and background) were
acquired at the beginning of the night for both infrared array
detectors; background levels were re-measured with each star
acquisition.
The operating sequence began by acquiring the stars and
locking star trackers for tip–tilt corrections on both telescopes.
The 50–100 Hz fringe-tracking modulation was applied to the
long DLs, which were moved until fringes were found with the
“primary” beam combiner. Once fringe lock was made, the long
and short DLs were moved simultaneously to maintain primary
fringes until fringes were detected on the “secondary” beam
combiner. Once fringes were found simultaneously on both
beam combiners, (1) the zero-point offset for the short DLs
was recorded, (2) the 50–100 Hz fringe-tracking modulation
was moved from the long to short DLs so that only the
“primary” beam combiner was affected by the modulation, (3)
the “secondary” detector’s read-out pattern was adjusted from
one optimized for fringe tracking to a faster and more evenly
spaced one that was better for scanning between fringe packets,
and (4) the scanning mirror in the “secondary” beam combiner
initiated its ∼Hz, ∼100 μm triangle modulation. The speed and
amplitude of the triangle pattern were user-settable according to
the predicted projected binary separation. Conservative values
were used with larger amplitudes than predicted to ensure
good coverage of the fringe packets. Observing a binary when
→
−
→ −
its baseline projected separation ( B · ΔS) was of order the
interferometric coherence length (Λ = λ2 /Δλ ≈ 20 μm) or less
was avoided due to potential biases associated with an imperfect
template fringe packet.
This setup resulted in a special astrometry mode designed to
work on pairs of stars separated by no more than ∼1 arcsec, the
diffraction limit of the 40 cm apertures at λ = 2.2 μm. In this
mode, the small separation of the binary resulted in both binary
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MUTERSPAUGH ET AL.
components being in the field of view of a single interferometric
beam combiner. The fringe positions were measured by modulating the instrumental delay with an amplitude large enough to
record both fringe packets. This eliminated the need for a complex internal metrology system to measure the entire optical
path of the interferometer, and dramatically reduced the effect
of systematic error sources such as uncertainty in the baseline
vector (error sources which scale with the binary separation).
The same instrumental configuration could be used for double
Fourier spectroscopy.
However, since the fringe position measurement of the
two stars was no longer truly simultaneous it was possible
for the atmosphere to introduce path-length changes (and
hence positional error) in the time between measurements of
the separate fringes. To reduce this effect a fraction of the
incoming starlight was redirected to a separate beam combiner,
as described above. This beam combiner was used in a “fringetracking” mode (Shao & Staelin 1980; Colavita et al. 1999)
where it rapidly (10–20 ms) measured the phase of one of
the starlight fringes and adjusted the internal delay to keep
that phase constant. The fringe-tracking data were used both
in real time (operating in a feedback servo, after which a
small—but measurable—residual phase error remained) and
in post-processing (the measured residual error was applied
to the data as a feed-forward servo). This technique—known
as phase referencing—had the effect of stabilizing the fringe
measured by the astrometric beam combiner. For this observing
mode, LASER metrology was only required between the two
beam combiners through the location of the light split (which
occurred after the optical delay has been introduced), rather
than throughout the entire array. This greatly reduced system
complexity and increased the percentage of time on-sky. Extra
efforts in system reliability and automation allowed most
PHASES measurements to be acquired by a single night
assistant with high (>90%, not counting weather) on-sky
efficiency.
In making an astrometric measurement the optical delay was
modulated in a triangle-wave pattern around the stabilized fringe
position, while measuring the intensity of the combined starlight
beams. The range of the delay sweep was set to include both
fringe packets; typically, this required a scan amplitude on the
order of 150 μm. Typically one such “scan” was obtained every
second, consisting of up to 1000 intensity samples (the scan
rate was limited by the source brightness and the requirement
that >2 samples are made per fringe modulation period). A
double fringe packet based on Equation (1) was then fit to the
data, and the differential optical path between fringe packets
was measured.
3.
4.
5.
6.
7.
Vol. 140
downstream processing, in that FFT-based algorithms could
not be used.
The data were broken up into “scans” either when the delay
sweep changed direction or when the fringe tracker lost
lock. Only scans for which at least 90% of the scan was
continuously recorded (without fringe lock loss) were used
in processing.
For each scan, a power spectrum was calculated using a
Lomb–Scargle algorithm (Scargle 1982; Press et al. 1992).
This spectrum provided an S/N estimate based on the ratio
of the power in and out of the instrument bandpass. Only
the scans with an S/N greater than unity were kept.
For a range of values of differential optical delays between
fringe packets, a model of a double-fringe packet was
calculated and compared to the observed scan to derive
a χ 2 value versus differential delay.
A two-dimensional grid in differential R.A. and decl. over
which to search was constructed (in ICRS 2000.0 coordinates). For each point in the search grid the expected
differential delay was calculated based on the interferometer location, baseline geometry, and time of observation
for each scan. These conversions were simplified using
the routines from the Naval Observatory Vector Astrometry Subroutines C Language Version 2.0 (NOVAS-C; see
Kaplan et al. 1989). The value of χ 2 for the grid point’s
differential delay as determined by the previous step was
co-added to an R.A./decl. χ 2 grid.
After co-adding the R.A./decl. χ 2 over all the scans in one
night, all resulting values of χ 2 within 4σ of the minimum
point were used to fit a two-dimensional quadratic function
to interpolate the location of the best minimum χ 2 value
as the final astrometric solution, and the widths of the
quadratics determined the formal uncertainties as discussed
in detail below. The final product was a measurement
of the apparent vector between the stars and associated
uncertainty ellipse. Because the data were obtained with a
single-baseline instrument, the resulting error contours are
very elliptical, with aspect ratios at times 10.
Sample illustrations of several of these stages are plotted in
Figure 2.
In previous data reductions, the scans were optionally digitally bandpass filtered before being processed for astrometry.
This resulted in astrometric measurements that differed from
those derived without filtering by much less than the measurement uncertainties. In this final analysis, the scans were not
bandpass filtered.
2.2.1. Probability Distribution Function Sidelobes
2.2. Astrometric Data Reduction Algorithm
The intensity versus delay position measurements produced
by the interferometer were processed into astrometric measurements as follows.
1. Detector calibrations (gain, bias, and background) were
applied to the intensity measurements.
2. The residual phase errors from the primary fringe tracker
were converted to delay and applied to the data. Note that
while the intensity measurements were spaced regularly
in time, and the delay scanned linearly in time, the variable amount of delay correction applied from the fringe
tracker resulted in the intensity measurements being unevenly spaced in delay. This somewhat complicated the
One potential complication with fitting a fringe to the data
was that there were many local minima spaced at multiples of
the operating wavelength. If one were to fit a fringe model to
each scan separately and average (or fit an astrometric model
to) the resulting delays, one would be severely limited by this
fringe ambiguity (for a 110 m baseline interferometer operating
at 2.2 μm, the resulting positional ambiguity is ∼4.1 mas).
However, by using the χ 2 -surface approach, and co-adding the
probabilities associated with all possible delays for each scan,
the ambiguity disappeared. This was due to two things, the
first being that co-adding simply improved the S/N. Second,
since the observations usually lasted for an hour or even longer,
the associated baseline change due to Earth rotation also had
the effect of “smearing” out all but the true global minimum.
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THE PHASES DIFFERENTIAL ASTROMETRY DATA ARCHIVE. I.
1583
Relative Power
100
80
60
40
20
0
-100
-50
0
50
Delay (microns)
100
0
440
2
2.5
3
Wavelength (microns)
3.5
dDec (arcseconds)
-0.062
χ
2
430
420
-0.064
-0.066
-0.068
-0.07
410
65
66
67 68 69 70 71
Separation (microns)
72
73
-0.072
-0.13
-0.132 -0.134 -0.136 -0.138
-0.14
dRA (arcseconds)
Figure 2. Several steps of the data processing pipeline are shown for an observation of HD 13872 (21 Ari) from MJD 54,385.33270. Upper left: raw interferograms
show two distinct fringe packets, one from each star in the over-resolved binary. One star was found near zero delay, the other at ∼ ± 70 μm. The flipping from
side-to-side was a result of the fringe tracker first tracking on one star for some scans, then the other. Upper right: the periodogram of one scan used to evaluate the
fringe S/N within the optical passband used (K-band, 2.0–2.4 μm). The power in the passband is not flat, but rather oscillates, a result of the object being a binary
star (visibility changes with wavelength). Lower left: the likelihood metric χ 2 as a function of delay separation of the binaries for two scans. Note there are multiple
minima separated by the fringe modulation period, and the noise is large enough to prevent high confidence identification of the correct local minimum. Lower right:
the co-added χ 2 surface in differential R.A./decl., with contours corresponding to 1σ , 2σ , 3σ , and 4-σ confidence regions. Note that in this case sidelobes appeared
at the 4σ confidence level, so the measurement was rejected as ambiguous.
The final χ 2 -surfaces did have dips separated by ∼4.1 mas
from the true location, but any data sets for which these showed
up at the 4σ level were rejected. The 4σ region is that for
which the properly normalized χ 2 function has a value less than
the number of degrees of freedom plus 19.33, the latter being
the value appropriate for two-dimensional χ 2 distributions. The
final astrometry measurement and related uncertainties were
derived by fitting only the 4σ region of the surface.
2.2.2. Residual Unmonitored Phase Noise
Unmonitored system phase noise can affect the χ 2 surface in
two ways. First, components of the phase noise that operated
at frequencies faster than the scan rate caused the two fringe
packets to be smeared an extra amount, and to first order this
appeared as extra noise in the intensity measurements. This
affected the width of the χ 2 fit for each individual scan (which is
designated as σm , the “measurement” noise), and thus appeared
directly in the co-added χ 2 contour.
If instead the instrumental noise was much slower than an
individual scan, it was essentially “frozen into” the scan—for
the duration of that scan, the stars really did appear to have a
different separation than their true separation. The χ 2 surface
for the fit to an individual scan takes the form
f (d − dj ) =
(d − dj )2
+ n,
σm2
(3)
where dj is the value of the star separation that minimizes
f = χ 2 , and n is the number of degrees of freedom of the
fit (typical values for n are 400–1000; for this derivation, it
suffices to assume a one-dimensional χ 2 surface as it has no
curvature in the direction perpendicular to the sky-projected
baseline—only Earth-rotation synthesis lifts this degeneracy).
The low-frequency components of the phase noise cause dj to
vary from do , the true star separation, by more than one expects
from measurement noise alone. By taking many such scans, one
can determine this instrumental scatter (which is designated as
σi , the “instrument” noise for an individual scan) and add (in
quadrature) the instrumental noise to the measurement noise as
(d − do )2
+ nN,
F (d − do ) = 2
σm + σi2 N
(4)
where N is the number of scans (N was typically hundreds to
thousands).
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Vol. 140
Consider a function f (d − doj ) with position of the minimum
at doj ; this centroid position is distributed with probability
e−(do −doj ) /2σi
P doj =
.
√
2π σi
2
2
(5)
One may naively hope that summing several instances of this
function with variable doj together would properly add the
instrumental and measurement noises in quadrature. However,
the summation results in
∞
N
f d − doj = N
f (d − x) P (x) dx
(6)
−∞
j =0
σ2
(d − do )2
= 2 + nN + N i2
σm
σm N
(7)
(d − do )2
+ nN.
σm2 + σi2 N
(8)
= Even if one renormalizes so that the additive term equals nN
(i.e., multiply by n/(n + σi2 /σm2 )), this is still:
N
(d − do )2
+ nN.
f d − doj = 2
σm + σi2 /n N
j =0
(9)
Note the extra factor of n dividing σi2 ; this effectively underestimates the scan-to-scan instrumental noise by a very large
amount—roughly 20 times for typical PHASES data.
Instead, the appropriate way to determine the scan-to-scan
fit is by noticing that the minimum value of the co-added χ 2
surface is greater than the total number of degrees of freedom
nN by the amount:
σ2
(10)
N i2 .
σm
The quantity σm was measured directly from the shape of the
surface, which remained unchanged, and the number of scans N
was known. Thus, one could derive σi and apply it to the formal
uncertainties. For all observations the average value of σi2 /σm2
was 1.29; values ranged from 0.0042 (for bright sources and
good weather conditions) to 7.2.
Phase referencing was used to decrease the amount of unmonitored phase noise during narrow-angle astrometry observations
(see Section 3.1), but some residual phase noise remained, so
the correction outlined here had to be applied to the astrometric
data. Synthetic data were constructed both with and without unmonitored phase noise of the actual spectrum observed, and the
data reduction algorithm determined measurement uncertainties
consistent with the actual scatters in the measurements between
multiple synthetic data sets. Without the additional phase-noise
correction outlined here, the formal uncertainties significantly
underestimated the scatter in the results.
3. EXPECTED PERFORMANCE
The expected astrometric performance of the PHASES observing mode was determined by several factors contributing
measurement uncertainties and biases. These can be subdivided
into three broad categories:
1. observational noise terms, which are fundamental to atmospheric turbulence and finite source brightness;
Table 1
Astrometric Noise Sources
Source
Section
Temporal decoherence
Anisoplanatism
Photon noise
Differential dispersion
Baseline errors
Fringe template
Scan rate
Beam walk
Global astrometry
Star spots
Stellar granulation
3.1.1
3.1.2
3.1.3
3.2.1
3.2.2
3.2.3
3.2.4
3.2.5
3.2.6
3.3.1
3.3.2
Typical Magnitude (μas)
∼5
0.2
3
∼30
<10
1
1
1
1
<8
<3
Notes. Sources of astrometric noise vary in magnitude from tens of microarcseconds to submicroarcsecond levels. Differential dispersion depends on color
difference between binary components; for many targets, this is nearly zero, but
for extreme color differences, this can be hundreds of microarcseconds. This is
not the case for any of the PHASES targets. Photometric variability accompanies star spots, of a magnitude that is easily detected for astrometric signatures
of 8 μas or larger.
2. instrumental noise terms, which result from the design of
the interferometer and the method in which the measurements were obtained; and
3. astrophysical noise terms, which result from the astrometric
stability of the stars themselves.
The size of each noise source is summarized in Table 1.
The details of a few of these terms were described by Lane &
Muterspaugh (2004); here, a more complete summary of the
PHASES error budget is presented.
3.1. Astrometric Observational Noise
In calculating the expected astrometric performance three
major sources of error were taken into account: errors caused
by fringe motion during the delay sweep between fringes
(loss of coherence with time), errors caused by differential
atmospheric turbulence (loss of coherence with sky angle, i.e.,
anisoplanatism), and measurement noise in the fringe position.
Each is quantified in turn below, and the expected measurement
precision is the root-sum-squared of the terms.
3.1.1. Loss of Temporal Coherence
The power spectral density of the fringe phase of a source
observed through the atmosphere has a power-law dependence
on frequency; at high frequencies typically
A(f ) ∝ f −α ,
(11)
where α is usually in the range 2.5–2.7. The effect of phase
referencing is to high-pass filter this atmospheric phase noise.
For PHASES, the servo was an integrating servo with finite
processing delays and integration times, with the residual
phase error “fed forward” to the second beam combiner (Lane
& Colavita 2003). The response of this system to an input
atmospheric noise can be written in terms of frequency as
H (f ) =
1 − 2sinc(πf Ts ) cos(2πf Td ) + sinc2 (πf Ts )
,
2
1 − 2 ffc sinc(πf Ts ) sin(2πf Td ) + ffc sinc2 (πf Ts )
(12)
THE PHASES DIFFERENTIAL ASTROMETRY DATA ARCHIVE. I.
where sinc(x) = sin(x)/x, fc is the closed-loop bandwidth of
the fringe-tracker servo (for PHASES fc = 10 Hz or 5 Hz),
Ts is the integration time of the phase sample (in standard
mode, 6.75 ms), and Td is the delay between measurement
and correction (done in post-processing, effectively 5 ms). The
phase noise superimposed on the double fringe measured by the
astrometric beam combiner has a spectrum given by A(f )H (f ).
The sampling of the double fringe packet took a finite amount
of time, first sampling one fringe, then the other. In the time
domain, the sampling function can be represented as a “top-hat”
function convolved with a pair of delta functions (one positive,
one negative). The width of the top-hat is equal to the time taken
to sweep through a single fringe, while the separation between
the delta functions is equal to the time to sweep between fringes.
In the frequency domain, this sampling function becomes
S(f ) = sin2 (2πf τp )sinc2 (πf τ∗ ),
(13)
where τp is the time taken to move the delay between stars,
Δd/vs , and τ∗ is the time to sweep through a single stellar
fringe, Λ/vs . vs is the delay sweep rate.
The resulting error in the astrometric measurement, given in
radians by σtc , can be found from
λ 2 1 ∞
2
σtc =
A(f )H (f )S(f )df,
(14)
2π B N 0
1585
4
3.5
3
Relative Intensity
No. 6, 2010
2.5
2
1.5
1
0.5
0
-10
-5
0
5
10
Delay (λ0)
Figure 3. Schematic of the shift in fringe positions due to dispersion (the effect
has been exaggerated for clarity). The vacuum (no dispersion) interferograms
are plotted with solid lines; those dispersed by air with dotted lines. Top:
dispersion shifts the point of zero optical path difference for a star, due to
different amounts of air path in each arm of the interferometer (the effective
optical path difference measured as if in vacuum). Middle: the dispersion shifts
for stars of equal colors were equal and canceled; the measured separation
is the same. Bottom: stars of unequal colors are shifted by slightly different
amounts by dispersion, and the resulting measured separation is different. For
very extreme color differences, the shift can be hundreds of microarcseconds.
Not shown are the shape distortions to interferograms.
where N is the number of measurements. It is worth noting that
if phase referencing was not used to stabilize the fringe, i.e.,
H (f ) = 1, the atmospheric noise contribution increases by a
factor of ≈ 102 –103 . For ∼Hz scanning, the corresponding error
is less than 10 μas.
ments. Some could potentially vary on night-to-night timescales
as the optical alignments vary on roughly these timescales. Others resulted from properties of the measurement design.
3.1.2. Anisoplanatism
The path compensation for the geometric delay at PTI
was done with DLs in air. At near-infrared wavelengths, air
introduces a wavelength-dependent index of refraction given by
Cox (2000)
pTs
0.029498
2.554 × 10−4
−5
n=1+
6.4328 × 10 +
+
ps T
146 − 1/λ2
41 − 1/λ2
p
w
− 4.349 × 10−5 (1–7.956 × 10−3 /λ2 ) ,
(17)
ps
The performance of a simultaneous narrow-angle astrometric
measurement has been thoroughly analyzed by Shao & Colavita
(1992). Here the primary result for the case of typical seeing at
a site such as Palomar Mountain is restated, with the astrometric
error in arcseconds due to anisoplanatism (σa ) is given by
σa = 540B −2/3 θ t −1/2 ,
(15)
where B is the baseline (in meters), θ is the angular separation
of the stars (in radians), and t is the integration time in
seconds. This assumes a standard (Lindegren 1980) atmospheric
turbulence profile; it is likely that particularly good sites will
have somewhat (a factor of two) better performance. For
θ = 5 × 10−7 ∼ 100 mas, and 1 hr of integration, this term
is roughly a fifth of a microarcsecond.
3.1.3. Photon Noise
The astrometric error due to photon noise (σp ) is given in
radians as
λ 1 1
σp =
,
(16)
√
2π B N S/N
where N is the number of fringe scans, and S/N is the signal-tonoise ratio of an individual fringe. For typical PHASES targets
and PTI’s throughput (N ∼ 2000, S/N ∼ 10), this was of order
a few microarcsecond.
3.2. Astrometric Instrumental Noise
There were several effects internal to the instrument that could
contribute noise terms or biases to the astrometric measure-
3.2.1. Differential Dispersion
where λ is the vacuum wavelength in μm, p is the air pressure,
pw is the partial pressure of water vapor, ps = 1.01325×105 Pa,
T is the temperature, and Ts = 288.15 K. The fringe packets of
astrophysical sources were dispersed by an amount that depends
on the difference in air paths between arms of the interferometer;
this changed the shape and overall location of the fringe packets;
see Figure 3. If two stars were in the same beam and identical in
color, the change in location was common to both and canceled;
similarly, the distortions of the fringe packets are common and
canceled to first order in a differential measurement. Simulated
data and reanalysis of real data with modified fringe templates
showed that higher order terms in the fringe packet shape are
negligible at the microarcsecond level.
If, however, the two stars were of differing colors, each would
be dispersed by a slightly different amount, and their apparent
separation would be biased. The shift in the apparent position
of each star’s fringes can be approximated by evaluating the
dispersion at the effective average wavelength of the star in the
passband. The effective average wavelength was calculated by
multiplying the instrumental bandpass by the stellar spectrum.
For an order-of-magnitude estimate of the effect of differential
1586
MUTERSPAUGH ET AL.
Vol. 140
Table 2
Differential Dispersion
Spectral
Type
O5
B5
A5
F5
G5
K5
M5
Effective
Temperature (K)
Effective K-band
Wavelength (μm)
(n − 1)
×104
(n − nF5 )
×109
(n − nF5 )
×38 m (nm)
Error vs.
F5 (μas)
44500
15400
8200
6440
5770
4350
3240
2.1763
2.1772
2.1785
2.1794
2.1799
2.1815
2.1839
2.729232
2.729229
2.729225
2.729223
2.729221
2.729217
2.729210
0.93
0.66
0.25
0.00
−0.14
−0.61
−1.32
35.4
25.0
9.7
0.0
−5.4
−23.3
−50.3
73
51
20
0
11
48
103
Notes. Effect of color-dependent differential dispersion. Stellar temperatures are for dwarf stars, from Carroll & Ostlie (1996).
All numbers are for zero water vapor pressure, pw = 0. Increasing water vapor pressure to pw = ps increases the astrometric
effect by a factor of roughly 20%.
dispersion, one can model the instrumental bandpass as a tophat function passing wavelengths 2–2.4 μm (nominal K-band)
and the stellar spectra as blackbodies. The shifts in apparent
positions for several spectral types over 40 m of differential air
path (a maximum amount for PTI) are given in Table 2. Note
that for G5–K5 binaries, the amount is 35.8 μas and for B5–A5
it is 30.6 μas. For much more extreme color ratios, the effect
can be as large as 150.6 μas for B5–M5 binaries; the PHASES
sample did not include such systems, as their high contrast ratios
prevented observation.
Because the stars were often observed at the same hour angles
from one night to the next (and thus the delay positions are
relatively common between nights), this effect introduced a
much smaller scatter than that listed in the table. However, it may
have introduced biases in the stellar separations and introduced
scatter between observations taken in multiple baselines (for
which the delay positions differed). These biases and scatters
were of order the amounts given in Table 2.
The binaries in the PHASES sample were generally of
components with equal brightnesses and thus similar colors.
No hour-angle-dependent biases significant on the level of the
precision of the observations were observed. This effect is
likely to be important for traditional narrow-angle astrometry
methods at the Keck Interferometer or Very Large Telescope
Interferometer, which aim to use field stars as astrometric
references for nearby stars, and reference and target will often
have very different colors. The effect is largely reduced if one
uses a spectrometer to measure the group-delay positions of the
fringes.
Starting in 2005, the longitudinal dispersion compensator
addressed this potential systematic. The measurements acquired
with this correction are flagged in Table 4.
3.2.2. Baseline Errors
The baseline vector used in the differential delay equation
to determine astrometric quantities was derived by inversion
of the delay equation from the fringe locations of point-like
sources with known global astrometric positions. Uncertainties
and variability of the baseline vector were sources of differential
astrometry uncertainties via the differential delay equation. An
incorrect baseline model would show up as an hour-angledependent error term that would potentially increase night-tonight scatter beyond that predicted by the formal uncertainties;
this was tested by dividing data sets within single nights into
multiple sets by hour-angle range and the results were selfconsistent.
No evidence of hour-angle-dependent error terms was seen in
the PHASES data, supporting evidence that the baseline models
are correct. As shown in Figure 4, except for a few outliers (likely
due to using point sources with poor global astrometry values
or a night’s observation only covering a small range of hour
angles or declinations) the night-to-night drift in baseline model
solutions were less than 1 mm in north–south and east–west
directions for the two primary baselines used for PHASES
observations (NS and SW). The up–down dimension was stable
to a few millimeters in both cases; this scatter was likely due
to limited measurement precision rather than actual baseline
variability, implying that it could be improved by averaging
several nights’ values.
→
The amount by which a baseline error of −
σ
B affects a
−
→
differential astrometry measurement ΔS was determined as
follows. To maintain the same observed differential delay
between stars, the differential delay equation requires that
→
→ →
−
→ −
−
→ → −
B · ΔS = ( B + −
σB ) · (ΔS + −
σΔS ),
(18)
−
→
where −
σ→
ΔS is the astrometric error caused by baseline error σB .
−
→
−
→
Canceling like terms and assuming σΔS · σB is less than the other
terms simplifies this to
−
→
−
→ −→
−
→
σ
B · ΔS = − B · σΔS .
(19)
−
→
The vector ΔS was tangent to the celestial sphere; only that
component which was not perpendicular to the baseline was
actually measured (this measured component of the separation
is referred to as δS) and only its uncertainty (σδS ) was thus
applicable. The angle between these measured components and
the baseline vector is given by the target’s zenith angle z; this was
always kept to less than 45◦ . Of course, the baseline uncertainty
−
→
→
vector −
σ
B need not be oriented with B itself; its components
σBx and σBy tangent to and σBz normal to the Earth (also referred
to as the “U” or “Up” component) are introduced. Substituting
into Equation (19) gives the relationship between baseline error
and astrometric error as
δS((σBx cos φ + σBy sin φ) cos z + σBz sin z) = −|B|σδS cos z,
(20)
where φ is an angle determined by the hour angle and declination
of the target. On rearranging terms, the fractional astrometric
measurement uncertainty due to baseline uncertainties was
σBx cos φ + σBy sin φ + σBz tan z
σδS
=−
.
|B|
δS
(21)
No. 6, 2010
-37.11
THE PHASES DIFFERENTIAL ASTROMETRY DATA ARCHIVE. I.
NS-East
-103.24
NS-North
3.65
1587
NS-Up
3.64
-103.25
3.63
-37.12
52500 52800 53100 53400
-81.68
NW-East
-81.69
52500 52800 53100 53400
-44.56
SW-East
-44.57
52500 52800 53100 53400
-103.26
52500 52800 53100 53400
-28.2
NW-North
-28.21
52500 52800 53100 53400
75.05
SW-North
75.04
52500 52800 53100 53400
3.62
52500 52800 53100 53400
NW-Up
3.21
3.2
3.19
3.18
3.17
3.16
52500 52800 53100 53400
-0.44
SW-Up
-0.45
52500 52800 53100 53400
Figure 4. Solutions for the three PTI baseline vectors. The three baselines at PTI were named “NS,” “NW,” and “SW” due to their rough orientations. Each was a
three-dimensional vector, which was given by components in the “East” (east–west), “North” (north–south), and “Up” (up–down) directions (the first two were tangent
to the Earth, the last was perpendicular). Horizontal axes are time in modified Julian days (MJD), vertical axes are baseline length in meters. Lines represent average
baseline fits used for data reduction presented in this paper; points with error bars represent a given night’s baseline solution. The baseline solutions were derived
from the observed delay positions of single-star sources with known global astrometric positions via inversion of Equation (2). The y-axis tick marks in each plot are
all 10 mm. Note that the scatter in the “Up” dimension was much larger than the other dimensions; this was due to preferential observing of targets overhead, for
which the “Up” component is highly covariant with the constant term in the delay equation. The baseline solution used for data analysis was a weighted average of
the solutions plotted.
For |B| = 100 m and z < 45◦ , baseline uncertainties of 2 mm
cause 10 μas errors in the astrometry for a binary with projected
separation δS = 0.5 arcsec. Though the measured component
of ΔS continually varies as the Earth rotates the baseline vector,
the above derivation is true at any given instant. Earth rotation
causes errors to appear in both astrometric dimensions.
A slightly more subtle baseline effect was that there can be
differences between the wide-angle (“astrometric”) and narrowangle (“imaging”) baselines. When determining the baseline
vector via the delay positions for stars with known global
astrometry solutions spread across the sky, the siderostats are
repointed for each observation to place the target star on-axis.
Thus, one was measuring the vector between the pivot points
of the siderostats, about which the siderostats were repointed
for each target. When measuring the separations between two
stars in a single field with a single pointing of the telescopes, at
least one of the stars would be off-axis; one instead desired to
know the separations between the corresponding points on the
surfaces of the two siderostats to get the proper delay scale.
Through careful optical design, PTI was built to minimize
differences between the astrometric and imaging baselines in
order that the original narrow-angle astrometry mode would
function at the 100 μas level for binaries with separations of
tens of arcseconds. Because errors due to baseline uncertainty
scale with binary separation, the effect was negligible at the
level of a few microarcseconds for subarcsecond binaries in the
PHASES sample.
3.2.3. Fringe Template
Because the astrometric measurements were differential between two stars, they were relatively insensitive to the model
fringe template. The fringe model used in the astrometric analysis was determined by observing interferograms of single stars.
An effective bandpass was constructed from an incoherent averaging of the periodograms of many such interferograms, and
used to recompute a standard interferogram template, to be applied to the data. This effective bandpass was only an approximation for most stars, as there were variations in source temperature and spectra. However, reanalysis with several different
fringe models showed variations only at the single microarcsecond level.
3.2.4. Scan Rate and Earth Rotation
Earth rotation caused variable projection of the binary separation on the interferometer baseline vector. The details of the
variability depend of the observatory location, sky position of
the target binary, and the orientation of the baseline vector, but
for order-of-magnitude estimations, can be approximated as a
sinusoid with period of 1 day and amplitude equal to the total
binary separation a:
Δs ≈ a × cos (2π t/day) .
(22)
The differential delay rate was given by the first derivative of this
equation with respect to time, converted from sky angle to delay
1588
MUTERSPAUGH ET AL.
Vol. 140
length by the interferometer’s resolution. For a ∼ 500 mas,
this differential delay rate is about 20 nm s−1 , or 5 nm (10 μas)
in the (typically) 250 ms required to scan between the fringe
packets. Roughly an equal number of scans were obtained in
each scan direction (to within 10%), and this effect canceled to
first order (to the same level, 10% or 1 μas). However, curvature
in the differential delay motion does not cancel; it is given by
the second time derivative of the projected separation and was
roughly 1.4 × 10−3 nm s−2 (less than 3 nanoarcseconds s−2 ).
Thus, the differential delay rate was small enough, and the
measurement rate fast enough, that the finite measurement rate
did not contribute significant uncertainties.
3.2.5. Beam Walk
The interferometer telescopes imaged a sky field and then
recollimated the light. Through this process, light from two
stars separated on the sky by angle α was partially sheared
with respect to each other and proceeded to illuminate slightly
different parts of the optics that guide the light to the detector.
Starlight in a recollimated beam that originated from different
sky positions also developed relative shear equal to the path
traveled multiplied by their angular separation (see Figure 5).
To the extent that the optics were imperfect (had rough surfaces),
the light from each star traveled slightly different path lengths
from telescope to detector. This process is known as beam walk.
Colavita (2009) determined the extent to which beam walk
introduces astrometric errors. That approximate stochastic analysis yielded an rms pathlength error given by
1/4
δ
q
, δ q,
q
z
where w is the rms wavefront error over an optic of diameter
z, q is the diameter of the starlight footprint, and δ is the linear
beamwalk. For optics with a surface quality of λ/20 peak-tovalley (like those used√at PTI), the wavefront rms is w λ/40.
The actual error is ∼ 2 larger than this due to the presence of
two telescopes in the interferometer.
The first place where beam walk could occur was within
the telescope itself. The beam was collimated at the telescope
primary, focused by the primary, and recollimated to a q =
0.075 m beam by a z = 0.1 m diameter mirror to be fed
to the “Fast Steering Mirror” (FSM; this mirror corrected for
tip–tilt wavefront errors across the telescope, providing loworder adaptive optics). The distance from primary mirror to this
mirror was the sum of their focal lengths 4.75 m. The beam
walk over 0.1 arcsec (4.8 × 10−7 rad) was thus δ = 2.3 μm.
Beam walk on the FSM thus contributed an astrometric error of
0.001 μas and was negligible.
The relative angles of starlight in the recollimated beam
were increased by a factor of the ratio of the primary mirror
and FSM focal lengths (5.33), thus light from sky locations
separated by 0.1 arcsec had a differential angle of 0.533 arcsec
(2.6×10−6 rad). This recollimated beam from the FSM traveled
through light pipes to the beam combining laboratory, where
movable mirrors added a variable amount of delay. This total
travel is of order 50 m; the mirrors are typically z = 0.1 m
diameter. The beam walk over 0.533 arcsec was δ = 130 μm,
which contributed an astrometric error of 0.07 μas. There were
a few mirrors along this path, and the total astrometric error
would be determined by considering the optical qualities of all
optics and adding the effects in quadrature. Because this beam
walk was so small, the sum total of these remained negligible.
∼w
Figure 5. Three instances where beam walk could occur, causing stars at slightly
different sky angles to illuminate different parts of optical elements. Top: shear
introduced at the telescope by focusing and recollimating the beam. “FSM”
stands for the “Fast Steering Mirror,” which provided tip–tilt corrections (firstorder adaptive optics) and recollimated the light after the telescope. Second
from top: shear within a collimated beam over large optical paths. Second from
bottom: shear at focus of delay line optics (DL; the movable mirrors that provide
optical delays). Bottom: the shear of two beams by amount Δ causing only partial
overlap.
(A color version of this figure is available in the online journal.)
The movable mirrors were comprised of a parabolic mirror of
focal length 1.07 m and a small (z ≈ 0.01 m) flat mirror located
near its focus. Collimated light was directed to one side of the
parabola, focused onto the flat mirror, then recollimated by the
parabola’s other side. On the flat mirror, the (diffraction-limited)
beam diameter was only q ∼ λf/d = 31 μm where λ is the
operating wavelength of light, f is the parabola’s focal length
and d is the collimated beam diameter (0.075 m). The beam
walk was 2.8 μm. The flat mirrors contributed an astrometric
error of 0.9 μas from beam walk. It is concluded that beam walk
did not contribute significant measurement errors.
3.2.6. Global Astrometry Errors
Uncertainty in the global position of a target binary on the
celestial sphere was coupled into the differential astrometric
measurement. Errors in right ascension were equivalent to measurement timing errors; declination uncertainties had similar
THE PHASES DIFFERENTIAL ASTROMETRY DATA ARCHIVE. I.
3.3. Astrometric Astrophysical Noise
There were potential sources of apparent astrometric motion
in the target stars due to processes within the stars themselves.
These included star spots and stellar granulation.
3.3.1. Star Spots
As previously presented by Muterspaugh et al. (2006), the
maximum shift in the center-of-light of a star caused by star spots
can be evaluated with a model comprised of a uniform stellar
disk (radius R) except for a zero-temperature (non-emitting)
circular region of radius r tangent to the edge of the stellar disk
(i.e., centered at x = R − r, y = 0). The center-of-light is
displaced by
√
R r 2 −(x−R+r)2
R √R2 −x 2
√
√
xdydx
−
−R − R 2 −x 2
R−2r − r 2 −(x−R+r)2 xdydx
xc
=
R
Rπ (R 2 − r 2 )
r 2 /R 2
= −
.
(23)
1 + r/R
The presence of star spots can be confirmed through photometric
measurements simultaneous with astrometric observations. The
non-emitting spots in this model would cause photometric
variations proportional to the fractional area of the stellar disk
covered:
F
r2
= 1 − 2,
(24)
Fo
R
where Fo is the star’s flux when no spots are present.
Equations (23) and (24) provide a relationship between the apparent astrometric and photometric shifts caused by star spots.
The largest possible astrometric shift by a star spot is given
by evaluating a slightly different model. In this case, the star
spot fills the (non-circular) area from the star’s edge to a chord
at distance xo from the star’s true center. The astrometric shift is
xo √R2 −x 2
√
xc
2
2 xdydx
−R
= − √R −x
x
R 2 −x 2
R
R −Ro −√R2 −x 2 dydx
x 2 3/2
2 1 − Ro2
= − 3 π2 + arcsin xRo + xRo 1 −
1589
Maximum Astrometric Errors from Large Starspots
80
0.08
60
0.06
40
0.04
20
0.02
0
Circular Spot
Maximum Effect
0
0.02
0.04
0.06
ΔM (Magnitudes)
0.08
Astrometric Error/Stellar Radius
effects. The order of magnitude of this effect can be derived
as follows: the fractional error in global astrometry (error in
arcseconds divided by total number of arcseconds around a
quarter circle) is roughly equal to the fractional error in differential astrometry separation vector (astrometric error divided by
binary separation). A 1 arcsec global astrometry error caused
differential astrometric errors of less than 3 μas for binaries of
separation1 arcsec or less. Typical uncertainties in global astrometry were much less than an arcsecond, with 10 mas being
a much more common value. Effects such as stellar aberration
(20 arcsec) were accounted for in the PHASES data reduction
software; if ignored, these could cause significant differential
astrometry uncertainties.
Astrometric Error (μas; 1 mas radius star)
No. 6, 2010
0
0.1
Figure 6. Maximum effect of star spots on astrometric measurements vs. the
photometric variations they cause.
For stars of typical radius 1 mas, the simplified model gives a
roughly linear relationship of 0.8 μas of astrometric shift per
milli-magnitude of photometric variability, see Figure 6. Only
stars with diameters smaller than PTI’s resolution of ∼4 mas
were observed by PHASES. Photometric variations of these
scales can be monitored by small ground-based telescopes. The
timescale of these variations is on order the rotation rate of a
star (days to weeks). Lanza et al. (2008) re-evaluated the effects
of spots with a model that includes stellar limb darkening and
lower spot contrast (“warm” spots rather than the completely
non-emitting spots assumed above) and found this reduces the
astrometric effect by ∼40%.
3.3.2. Stellar Granulation
Stellar granulation causes photometric variability of subsections of a star’s surface. Averaged over the whole of the stars
surface, these photometric variations can cancel to large extent
and the intrinsic variability of the star remains small, though
with a large astrometric uncertainty. Svensson & Ludwig (2004)
showed that the effects of stellar granulation are independent of
a star’s radius but are strongly correlated with surface gravity
and provide values for the astrometric effects in white light.
For stars with very low surface gravities (i.e., red giants),
astrometric perturbations can be quite large—as much as
300 μas/D (pc). Red giants within 100 pc were overresolved
by PTI and could not be observed, thus even for these stars this
effect was negligible. For main-sequence stars, the effect was
closer to 0.1 μas/D (pc).
4. EMPIRICAL ERROR BAR SCALING RULES
xo2 1/2 R2
with corresponding photometric variations of
1/2 F
xo xo
xo2
1 π
+ arcsin
+
1− 2
=
.
Fo
π 2
R R
R
(25)
(26)
The formal uncertainty ellipses derived with the procedure
outlined in Section 2.2 were found to underestimate the actual
scatter of the measurements to an orbital model. Two reasonable
approaches to correct this are to find a multiplicative scale factor
by which to increase the formal uncertainties, or a noise floor
to be added-in-quadrature to the formal uncertainties. Unfortunately, no single multiplicative factor nor noise floor was found
that could bring the measurement uncertainties and fit residuals
1590
MUTERSPAUGH ET AL.
into satisfactory agreement for a majority of the stars. The instrumental changes made in 2005 to introduce a longitudinal
dispersion compensator (discussed in Section 3.2.1) and an automated alignment system further complicate this effort. However,
upon dividing the measurements into two subsets according to
whether or not the instrumental changes were implemented (the
subset without the upgrades will be referred to as subset 1, that
with the upgrades will be referred to as subset 2), and allowing
for different scaling or noise floor factors in each subset, again
no single solution was obtained.
Recognizing that both multiplicative factors and noise floors
might be present, and could affect the major and minor axes of
the uncertainty ellipses in different ways, a solution was sought
to incorporate parameters for both types of terms, allowing for
different values in the two axes and in the two subsets. This
finally produced a single satisfactory solution. The procedure
used to find the solution and the final values obtained were as
follows.
Of the 51 star systems observed by PHASES, 33 had 10
or more measurements. Six of those 33 had been previously
discovered to be triple or quadruple star systems, and a seventh
(HR 2896 = HD 60318) was discovered by PHASES to be a
triple system; for simplicity of analysis, the effort to derive the
uncertainty scaling rules was limited to binaries. Three more
systems had too few measurements in one of or both subsets 1
and 2, and were not included in the analysis. Of the remaining 23
binaries, 15 (∼2/3) were selected for evaluation; the other ∼1/3
of the systems were not included allowing for the possibility that
their increased levels of scatter were the result of astrophysical
phenomena; however, the empirical scaling rules have been
found to work satisfactorily on many of these as well, as a
check of the rules’ validities.
The size of the major and minor axes of each measurement
was resized by the formula
2
2
2
2
σ(i,j
),c = f(i,j ) σ(i,j ),raw + σ(i,j ),q ,
where i = 1, 2 indicates the subset number, j = 1, 2 indicates
whether it is the uncertainty ellipse major (1) or minor (2) axis,
σ(i,j ),c is the “corrected” 1σ uncertainty, f(i,j ) is a multiplicative
scaling factor, σ(i,j ),raw is the formal 1σ uncertainty, and σ(i,j ),q
is a noise floor added in quadrature.
An iterative procedure was used to optimize the values of the
eight parameters f(i,j ) and σ(i,j ),q in order to produce the most
statistically reasonable set of uncertainty ellipses to represent
the observed scatter about Keplerian models for the 15 stars.
The constraints for optimizing those eight parameters were:
(1) within each subset, for each axis, the χr2 goodness-offit statistics computed along that axis should have minimal
variance among the binaries (i.e., all the binaries being evaluated
should have similarly good fits in a given axis), (2) averaged
over all the binaries, the χr2 statistic computed within each
subset/axis combinations should be equal to the other subset/
axis (and unity; i.e., fit residuals should equally distributed
among the various subsets and axes), and (3) the fits for as
many binaries as possible should have χr2 as close to unity as
possible.
The eight parameters f(i,j ) and σ(i,j ),q were given nominal
values, and the 15 binaries’ PHASES measurements were fit
to Keplerian models using the replacement uncertainty ellipses.
The correction parameters were varied one at a time, each step
recalculating the Keplerian models, until the variance of the χr2
among the binaries on the affected subset/axis was minimized
Vol. 140
(criterion 1). This was repeated over the eight parameters, after
which the average χr2 was calculated in each of the four subset/
axis combinations, and the parameters affecting each subset/
axis combination were renormalized to force the average χr2 = 1
for that combination (criterion 2). This procedure was then
iterated, varying the parameters individually to minimize χr2
variance followed by renormalizing to χr2 = 1 for each axis,
until the parameter values converged.
The final parameter values that produced the best universal
uncertainty scaling rules were found to be
f(1,1) = 1.3 (original instrument configuration, major axis);
f(1,2) = 3.8 (original instrument configuration, minor axis);
f(2,1) = 1.3 (revised instrument configuration, major axis);
f(2,2) = 1.0 (revised instrument configuration, minor axis);
σ(1,1),q = 140 μas (original instrument configuration,
major axis);
6. σ(1,2),q = 35 μas (original instrument configuration, minor
axis);
7. σ(2,1),q = 140 μas (revised instrument configuration, major
axis);
8. σ(2,2),q = 35 μas (revised instrument configuration, minor
axis).
1.
2.
3.
4.
5.
Only four non-trivial parameters end up being needed to
correct the measurement uncertainties: a single multiplicative
factor of 1.3 for the major axis (independent of subset), a multiplicative factor of 3.8 for the minor axis of data that lacked
the dispersion compensator and/or automatic alignment system (f(2,2) = 1 is a trivial value representing no correction is
needed), and noise floors of 140 and 35 μas to be added in
quadrature to the major and minor axes, respectively (independent of subset). These values are not entirely surprising: a large
multiplicative factor for the minor axis before the instrument
revisions disappeared as those changes made the instrument
more stable and increased path monitoring. A noise floor of 35
μas in the minor axis, regardless of subset, is reasonably expected from the many noise sources described in Section 3. The
root-sum-square of the errors in Table 1 is 15 μas. Given that
some of the simple arguments presented were designed to provide error estimates at only the factor of two level, the resulting
35 μas noise floor is not unreasonable. In addition, it is possible
some differential dispersion persisted even with the dispersion
compensator in place, though it certainly reduced the amount.
Because the major axis represents a direction perpendicular to
that at which the interferometer baseline was oriented at the
average measurement time, the measurement along that axis is
slow to build via Earth-rotation synthesis, and it is not surprising
to find a small multiplicative factor and larger noise floor in that
direction.
After applying these corrections to the measurement uncertainties, the χr2 statistic was calculated for Keplerian fits to
the data of all 26 binaries having more than 10 observations.
Fourteen of the 26 (54%) evaluate to 0.5 < χr2 < 1.5, and
an additional two just miss the cutoff (with values of 0.44 and
0.46; including these would bring the total to 62%). Furthermore, four of the systems with too-large values of χr2 are much
better modeled by a double Keplerian model, indicating an additional component may be present; see Paper V. The 26 binaries, number of observations, the fits’ χr2 metrics, and which
binaries were used to evaluate the scaling rules are listed in
Table 3.
No. 6, 2010
THE PHASES DIFFERENTIAL ASTROMETRY DATA ARCHIVE. I.
0.09
1
Major Axis
Minor Axis
Unit Gaussian
0.08
0.9
0.8
Integrated Fraction
0.07
Fraction
0.06
0.05
0.04
0.03
0.7
0.6
0.5
0.4
0.3
0.02
0.2
0.01
0.1
0
-4
-3
-2
-1
0
1
Normalized Residual
2
3
1591
4
0
-4
Major Axis
Minor Axis
Unit Error Function
-3
-2
-1
0
1
Normalized Residual
2
3
4
Figure 7. Distributions of normalized residuals for two-body Keplerian fits to 20 binaries, in major and minor axes. On the left is the histogram of the residuals and
unit-width Gaussian for comparison, while on the right is the continuous distribution function, with the theoretical distribution for Gaussian noise (the error function).
Table 3
Binaries Evaluated Using Empirical Uncertainty Ellipse Scaling Laws
Nights Observed
χr2
17904
26690
44926
76943
114378
137107
137391
137909
140159
171779
187362
202275
207652
214850
46
20
23
16
24
51
23
73
15
54
10
69
50
53
0.53
0.75
0.62
1.10
1.24
1.22
0.59
0.85
1.15
1.04
0.97
0.91
0.58
0.87
5286
6811
13872
77327
81858
129246
140436
155103
176051
196524
202444
221673
18
20
89
47
12
17
43
10
66
73
39
99
4.71
2.16
0.46
0.44
2.27
1.86
1.82
0.21
4.43
2.68
3.52
8.01
HD Number
*
*
*
*
*
*
*
*
*
*
*
*
*
*
*
Notes. Column 1 is the star’s HD Catalog Number, Column 2
is the total number of nights the star was observed, and
Column 3 is the value of χr2 calculated for a Keplerian model.
An asterisk appears in the fourth column of stars used to
evaluate the uncertainty ellipse scaling rules.
which has previously been studied at length (Muterspaugh et al.
2005, 2008). The fits included all the non-PHASES and radial
velocity measurements as listed in Paper II, rather than just
the PHASES measurements, to ensure the residuals represented
the best known binary motions. The PHASES measurement
residuals along the minor axes of the error ellipses for these
20 binaries were normalized by their minor axis measurement
uncertainties and combined into a joint residual distribution;
a similar distribution was made for the major axis residuals.
Histograms and continuous distribution functions (the latter
being the integral of the histogram, which has the advantage
of avoiding misinterpretation of the statistics caused by the
granularity of bin size used in the histograms, though at the
expense of being a less-familiar distribution) of the minor- and
major-axis residuals are presented in Figure 7, along with the
theoretical distributions one would obtain from unit-deviation
distribution (a Gaussian and an error function, respectively). The
distributions agree quite well with the theoretical distributions,
though there might be a slight excess number in the distribution
wings. However, any excess is small, and Gaussian statistics
are a reasonable approximation for orbit-fitting and companion
search applications.
6. SUMMARY OF PHASES MEASUREMENTS
The 1332 PHASES measurements are presented in Table 4.
All have been processed with the standard pipeline described in
Section 2.2. In total, 51 binaries were observed on 443 nights.
An average of 1983 scans was used for each measurement,
and the average formal minor-axis uncertainty is 13 μas. After
the scaling laws from Section 4 were applied, the average
minor- and major-axis uncertainties were 53 μas and 486 μas,
respectively.
7. SUPPORTING MEASUREMENTS
5. DISTRIBUTION OF FIT RESIDUALS
To use the PHASES measurements for orbit fitting and
companion searches, it was important to establish the statistical
properties of the measurement residuals to determine whether
they are Gaussian. Using uncertainties derived from the process
outlined in Section 4, Keplerian orbits were fit for 19 of the 20
binaries presented in Paper II (HD 202444 has been omitted,
since there is some evidence to suggest it hosts a substellar
companion; see Paper V), as well as δ Equ (HD 202275),
Infrared differential photometry between the primary and
secondary components of several PHASES targets were obtained using Keck Adaptive Optics on MJD 53,227. The differential photometries were measured in the Kp filter for
faint systems, and a narrowband H2 2–1 filter centered at
2.2622 μm for brighter binaries. Six systems of moderate brightness were measured with both filters. Differential magnitudes
for the 20 binaries observed with Keck AO are presented in
Table 5.
1592
Table 4
PHASES Astrometry Measurements
HD
Number
δDecl.
(mas)
σmin
(μas)
σmaj
(μas)
φe
(deg)
σR.A.
(μas)
σDecl.
(μas)
54004.36328
52894.31345
52896.29389
52897.28803
53198.45485
53215.43340
53222.39706
53229.40966
53235.41932
53250.34592
53578.49345
53585.41899
53600.39059
53632.29638
53636.28795
53691.15757
53957.40057
53970.37137
53971.35704
52894.40088
52895.40411
52896.40601
52897.38891
53222.50651
53228.48820
53263.39025
53271.37223
53313.25700
53636.36731
53663.36469
53687.19475
53972.46365
54003.36229
54006.35815
54008.35403
54341.44154
54350.42520
54357.40553
54769.28217
53638.46558
52868.45994
53215.50012
53222.46534
53234.45075
53249.46019
−57.0674
−681.5589
−681.5838
−681.9351
−676.2609
−675.9374
−676.3939
−674.7178
−675.2293
−675.1408
−667.5496
−667.3132
−667.0935
−666.8551
−667.6554
−666.0233
−659.8107
−659.5338
−660.2025
422.2735
422.3082
411.4655
422.7105
426.1493
424.8371
426.2968
426.4827
427.3890
430.7551
424.8200
431.4921
433.3682
434.3438
433.6679
433.9942
437.0441
437.1835
437.5387
441.7437
24.8811
−134.4324
−144.8076
−143.9341
−144.5008
−144.8697
−179.9978
665.6299
665.5458
665.8532
690.8888
692.1281
693.0688
692.6724
693.4864
694.9482
720.3887
720.7603
721.9211
724.8877
725.7109
729.6058
749.8176
750.6116
751.1008
−280.2728
−280.3050
−275.8378
−280.3014
−277.4293
−276.7571
−276.7695
−276.6943
−276.3916
−273.1652
−272.0314
−272.0317
−269.1288
−269.0321
−268.6007
−268.7999
−264.9185
−264.9587
−264.8896
−260.4480
−10.4154
4.9165
−14.6601
−15.6965
−16.2052
−17.0067
27.8
17.8
19.6
16.4
3.9
7.2
4.1
17.9
6.3
13.0
10.6
21.9
20.9
14.2
9.6
7.5
5.1
3.8
6.9
25.9
19.6
30.4
26.7
5.2
16.5
9.9
10.1
22.3
15.8
26.9
27.4
16.5
12.5
24.4
8.5
17.3
8.6
18.4
35.0
10.6
19.5
28.0
5.5
16.8
6.2
416.4
1360.0
549.6
382.3
213.7
273.5
217.5
1669.5
197.6
133.2
239.7
1887.5
273.1
150.3
98.1
85.8
57.2
44.9
97.3
811.8
376.1
395.5
998.1
118.3
621.1
263.6
126.2
270.8
592.3
1466.0
230.6
400.9
556.2
414.3
110.9
361.7
124.5
314.6
1055.9
313.6
2025.3
1083.3
212.2
179.2
49.3
161.61
146.08
144.35
144.32
143.53
146.42
144.05
148.35
152.60
148.22
155.25
146.03
148.09
146.28
147.56
150.80
147.73
147.90
145.40
159.74
160.62
158.80
158.42
161.03
160.37
159.41
160.62
160.25
158.72
175.11
22.43
163.19
158.67
159.97
159.82
160.07
161.89
161.36
162.13
39.98
149.53
148.43
145.90
149.25
157.43
395.3
1128.5
446.7
310.7
171.9
227.9
176.1
1421.2
175.4
113.4
217.7
1565.4
232.1
125.3
82.9
75.0
48.5
38.1
80.2
761.6
354.8
368.9
928.2
111.9
585.1
246.7
119.1
255.0
551.9
1460.7
213.4
383.8
518.1
389.4
104.1
340.1
118.4
298.2
1005.0
240.4
1745.7
923.1
175.8
154.2
45.6
134.0
759.1
320.8
223.4
127.1
151.4
127.7
876.3
91.1
71.0
100.8
1054.8
145.4
84.3
53.2
42.3
30.9
24.1
55.5
282.1
126.1
145.8
367.9
38.8
209.3
93.1
42.9
93.9
215.5
127.9
91.5
117.0
202.6
143.8
39.1
124.4
39.5
102.0
325.8
201.7
1027.0
567.7
119.1
92.7
19.8
2
σR.A.,decl.
σR.A. σdecl.
−0.97578
−0.99960
−0.99717
−0.99590
−0.99928
−0.99838
−0.99921
−0.99971
−0.99699
−0.97667
−0.99324
−0.99969
−0.98558
−0.97936
−0.97721
−0.97949
−0.98055
−0.98252
−0.98873
−0.99521
−0.98635
−0.97461
−0.99694
−0.98974
−0.99647
−0.99351
−0.96867
−0.96777
−0.99690
−0.97740
0.94638
−0.98914
−0.99782
−0.98361
−0.97295
−0.98896
−0.97365
−0.98180
−0.99359
0.99764
−0.99976
−0.99832
−0.99845
−0.97750
−0.93981
σmin,c
(μas)
σmaj,c
(μas)
σR.A.,c
(μas)
σDecl.,c
(μas)
44.7
76.2
82.3
71.5
38.0
44.4
38.3
76.5
42.4
60.5
53.4
90.3
86.8
64.3
50.6
45.1
35.4
35.2
35.7
104.5
82.3
120.7
107.3
40.2
71.8
51.4
51.9
91.7
69.5
108.0
109.8
38.7
37.2
42.7
36.0
74.5
47.9
78.2
49.5
53.4
82.0
112.0
40.8
72.8
42.2
559.1
1773.5
728.1
516.3
311.1
382.1
315.5
2174.9
292.6
222.7
341.6
2457.7
381.6
240.4
189.4
179.0
158.5
151.7
188.7
1064.6
508.6
532.9
1305.1
208.0
819.5
370.2
215.7
378.9
782.6
1910.9
330.9
539.6
736.5
556.5
201.0
490.6
214.0
432.3
1379.8
431.0
2636.6
1415.2
309.4
271.8
154.0
530.8
1472.3
593.6
421.5
251.2
319.3
256.4
1851.8
260.5
192.0
311.0
2038.9
327.2
203.1
162.1
157.8
135.4
129.8
156.6
999.4
480.5
498.7
1214.2
197.1
772.2
347.0
204.2
357.9
729.7
1904.0
308.7
516.7
686.2
523.0
189.0
461.9
203.9
410.4
1313.3
332.1
2272.9
1207.2
257.2
236.5
143.1
181.4
991.7
429.6
306.7
187.4
214.6
187.8
1143.1
139.8
128.1
151.0
1375.3
214.8
143.8
110.2
95.8
89.8
85.9
111.1
381.4
185.8
223.2
490.3
77.6
283.5
138.8
86.7
154.4
291.3
195.3
162.0
160.4
270.1
194.8
77.1
181.3
80.6
156.8
426.0
280.0
1338.9
747.1
176.7
152.4
70.8
2
σR.A.,decl.,c
σR.A.,c σdecl.,c
N
LDC
Align
−0.96573
−0.99571
−0.97200
−0.95838
−0.96795
−0.96882
−0.96798
−0.99691
−0.94017
−0.83623
−0.92161
−0.99686
−0.88194
−0.84831
−0.84421
−0.84521
−0.88717
−0.87808
−0.92215
−0.95651
−0.88327
−0.81607
−0.97192
−0.83727
−0.96320
−0.91870
−0.77450
−0.77773
−0.96671
−0.83160
0.68692
−0.96774
−0.98904
−0.97246
−0.86807
−0.89980
−0.78190
−0.85087
−0.99252
0.96891
−0.99748
−0.98443
−0.96072
−0.83586
−0.76725
345
648
241
566
3129
2038
2583
400
967
790
520
167
318
965
924
1175
3777
4330
2282
936
735
454
686
4905
1593
2099
2816
794
1356
580
878
2134
2559
1260
3740
1879
5096
2348
580
3263
280
199
1792
361
1350
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
0
0
0
0
0
0
Rate
(Hz)
50
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
50
50
50
100
100
100
100
100
100
100
100
100
100
100
100
50
50
50
50
50
50
50
50
100
100
100
100
100
100
Outlier
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
Vol. 140
δR.A.
(mas)
MUTERSPAUGH ET AL.
4934
5286
5286
5286
5286
5286
5286
5286
5286
5286
5286
5286
5286
5286
5286
5286
5286
5286
5286
6811
6811
6811
6811
6811
6811
6811
6811
6811
6811
6811
6811
6811
6811
6811
6811
6811
6811
6811
6811
11636
13872
13872
13872
13872
13872
HJD
2400000.5
HD
Number
δR.A.
(mas)
δDecl.
(mas)
σmin
(μas)
σmaj
(μas)
φe
(deg)
σR.A.
(μas)
σDecl.
(μas)
53250.46337
53263.40075
53271.38426
53312.30383
53313.28343
53333.23983
53334.25787
53340.19672
53341.24624
53584.47779
53586.47768
53599.45344
53606.44225
53607.43452
53613.41692
53614.41517
53639.35205
53670.28242
53691.18919
53718.18737
53726.15532
53732.15251
53739.16051
53746.13612
53748.13687
53753.13686
53929.49251
53930.49739
53935.47952
53936.48606
53937.48724
53951.44870
53956.48858
53957.44792
53958.48472
53963.46233
53965.50072
53970.40460
53971.49071
53972.40215
53977.40389
53978.44990
53979.48348
53985.43797
53986.38174
−144.6809
−145.2831
−145.3640
−146.5058
−147.1579
−146.8661
−148.3531
−147.4399
−147.7720
−151.6375
−151.4689
−152.3887
−151.5573
−151.2101
−151.9164
−151.7623
−151.7435
−151.3679
−152.6309
−152.6133
−152.5621
−152.6477
−152.1406
−152.4635
−152.4947
−152.2448
−153.9562
−151.9120
−151.9327
−151.7695
−151.9168
−151.7068
−151.5248
−151.3560
−151.5132
−151.5164
−151.5046
−151.2200
−150.9509
−150.9837
−150.9146
−151.3107
−151.3883
−151.6481
−150.7794
−17.1576
−17.7597
−18.2781
−20.3929
−20.1609
−21.5534
−21.1557
−21.7883
−21.7435
−34.5213
−34.7058
−34.8899
−35.8371
−36.0727
−35.9521
−36.2031
−37.6653
−39.3993
−39.7322
−41.2864
−41.7723
−42.0269
−42.5017
−42.7666
−42.8582
−43.1148
−49.6856
−51.3218
−51.4370
−51.6402
−51.5570
−52.1619
−52.5074
−52.6303
−52.5578
−52.7090
−52.8522
−53.1663
−53.2562
−53.4119
−53.6256
−53.4354
−53.4012
−53.5143
−53.9608
31.6
6.3
5.5
2.7
10.7
8.8
18.4
20.1
25.5
21.7
9.9
19.7
9.0
12.4
23.1
26.2
20.2
38.5
14.6
16.0
16.0
11.0
23.3
4.6
13.6
12.3
30.3
6.8
21.3
7.1
4.4
15.7
4.3
7.2
8.8
30.3
4.9
6.6
15.3
10.3
8.1
7.2
18.7
9.6
26.9
488.9
51.7
45.8
31.5
417.5
231.2
1427.2
960.2
1154.0
690.1
121.5
979.5
275.7
422.4
826.9
1064.2
1070.3
1039.2
118.9
274.5
185.2
112.7
313.4
57.0
171.7
234.1
1547.8
347.4
896.2
195.4
116.0
351.3
48.8
125.5
72.8
292.0
59.3
114.1
84.3
152.6
233.8
45.9
362.6
239.1
451.2
159.08
153.42
154.32
160.49
156.00
158.14
162.48
153.66
164.19
146.43
147.59
148.68
150.03
149.08
148.91
148.83
149.46
151.85
148.36
159.62
156.69
159.93
165.31
164.45
165.49
169.46
141.53
142.44
141.49
142.94
143.48
143.26
152.38
145.75
152.17
150.43
158.31
143.60
157.82
144.73
146.35
154.75
161.35
155.73
147.18
456.8
46.4
41.4
29.7
381.4
214.6
1361.0
860.5
1110.4
575.1
102.7
836.8
238.8
362.4
708.2
910.6
921.8
916.5
101.5
257.4
170.2
105.9
303.3
54.9
166.3
230.2
1212.0
275.4
701.4
156.0
93.2
281.7
43.3
103.8
64.5
254.4
55.2
91.9
78.3
124.7
194.7
41.6
343.6
218.0
379.5
177.1
23.8
20.5
10.8
170.1
86.5
430.0
426.5
315.4
382.0
65.7
509.4
137.9
217.3
427.5
551.3
544.2
491.4
63.6
96.8
74.7
40.0
82.6
15.9
45.0
44.5
963.2
211.8
558.2
117.9
69.1
210.5
23.0
70.9
34.9
146.5
22.4
67.9
34.9
88.5
129.7
20.6
117.3
98.6
245.6
2
σR.A.,decl.
σR.A. σdecl.
−0.98155
−0.95598
−0.95411
−0.96334
−0.99761
−0.99400
−0.99899
−0.99862
−0.99646
−0.99768
−0.98387
−0.99898
−0.99716
−0.99778
−0.99800
−0.99846
−0.99907
−0.99605
−0.96314
−0.98433
−0.97261
−0.95623
−0.95660
−0.95335
−0.95031
−0.95959
−0.99919
−0.99917
−0.99881
−0.99718
−0.99684
−0.99565
−0.97759
−0.99248
−0.95903
−0.97146
−0.97196
−0.99263
−0.88075
−0.98973
−0.99716
−0.92351
−0.98576
−0.99429
−0.99149
σmin,c
(μas)
σmaj,c
(μas)
σR.A.,c
(μas)
σDecl.,c
(μas)
125.1
42.4
40.8
36.5
53.6
48.4
78.2
84.0
103.0
89.6
51.4
82.6
48.9
58.7
94.5
105.5
84.4
150.4
65.6
70.2
70.2
54.5
95.2
39.1
62.4
58.4
46.3
43.5
41.0
35.7
38.8
38.4
35.3
35.7
36.1
46.3
35.3
35.6
38.2
36.5
35.9
35.7
39.7
36.3
44.1
650.8
155.3
152.1
145.9
560.5
331.6
1860.6
1256.1
1506.7
908.0
211.1
1281.0
384.8
566.7
1084.0
1390.5
1398.4
1358.2
208.5
383.3
278.5
202.6
430.8
158.4
263.5
335.0
2017.0
472.8
1173.4
290.0
205.8
477.7
153.7
215.0
169.0
404.6
159.8
204.0
177.8
242.8
334.6
152.2
491.7
340.9
603.0
609.5
140.2
138.2
138.0
512.5
308.3
1774.5
1126.3
1450.0
758.2
180.3
1095.2
334.2
487.1
929.6
1191.0
1205.2
1199.6
180.9
360.2
257.3
191.3
417.4
153.0
255.6
329.5
1579.4
375.8
918.6
232.5
167.0
383.5
137.2
178.8
150.4
352.6
149.1
165.5
165.3
199.4
279.3
138.5
466.1
311.1
507.3
260.1
79.2
75.5
59.6
233.2
131.4
565.1
562.4
422.3
507.6
121.2
669.6
196.8
295.5
565.6
725.3
714.3
654.4
122.8
148.8
127.7
86.4
142.9
56.8
89.5
84.0
1255.3
290.3
731.3
177.1
126.4
287.4
77.8
124.5
85.1
203.7
67.6
124.4
75.9
143.3
187.8
72.5
161.7
144.0
328.9
2
σR.A.,decl.,c
σR.A.,c σdecl.,c
N
LDC
Align
−0.85813
−0.80486
−0.80416
−0.76296
−0.96783
−0.91811
−0.98942
−0.98602
−0.96733
−0.97741
−0.86806
−0.98953
−0.95817
−0.97293
−0.98084
−0.98547
−0.99057
−0.96554
−0.78788
−0.86501
−0.80380
−0.74338
−0.72602
−0.70062
−0.69495
−0.70723
−0.99889
−0.98206
−0.99744
−0.96783
−0.92568
−0.98608
−0.86144
−0.93864
−0.87917
−0.96540
−0.82807
−0.93568
−0.84062
−0.95073
−0.97338
−0.84071
−0.96589
−0.96110
−0.98720
113
1574
2510
5214
905
935
327
289
242
430
780
294
909
677
200
182
661
268
847
690
509
599
125
2806
580
567
335
2478
621
2387
4028
998
6979
2481
1998
439
4409
2412
1125
1832
2089
2307
624
1797
320
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
Rate
(Hz)
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
50
50
50
50
50
50
50
50
50
100
50
50
50
50
50
50
50
50
50
Outlier
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
THE PHASES DIFFERENTIAL ASTROMETRY DATA ARCHIVE. I.
13872
13872
13872
13872
13872
13872
13872
13872
13872
13872
13872
13872
13872
13872
13872
13872
13872
13872
13872
13872
13872
13872
13872
13872
13872
13872
13872
13872
13872
13872
13872
13872
13872
13872
13872
13872
13872
13872
13872
13872
13872
13872
13872
13872
13872
HJD
2400000.5
No. 6, 2010
Table 4
(Continued)
1593
1594
Table 4
(Continued)
HD
Number
δDecl.
(mas)
σmin
(μas)
σmaj
(μas)
φe
(deg)
σR.A.
(μas)
σDecl.
(μas)
53996.32588
54003.37200
54004.32755
54005.38271
54006.38793
54007.40917
54008.36643
54009.33295
54010.43151
54029.25388
54031.35220
54032.28753
54055.29473
54056.27674
54061.26736
54075.19906
54083.18848
54084.15457
54306.50056
54320.50160
54321.48036
54335.47793
54336.47475
54341.39967
54348.40089
54350.42515
54356.42061
54357.35796
54370.39212
54376.32513
54377.39723
54419.26390
54685.47397
54695.48895
54713.46790
54740.39294
54763.34251
54769.34859
54794.26958
53242.45987
53272.50347
53284.34866
53986.48518
54003.45071
53243.52050
−151.1242
−150.7523
−150.7397
−150.9772
−150.5945
−150.4264
−150.7097
−150.6374
−150.6045
−150.1810
−150.3564
−150.1185
−149.6837
−149.6402
−149.6525
−149.2366
−148.7537
−148.7872
−140.2172
−139.5456
−140.1975
−138.5053
−138.5287
−138.9760
−137.5612
−137.4713
−137.2160
−136.6772
−136.2901
−136.3925
−135.9560
−132.8213
−103.8655
−102.5878
−99.9635
−95.4755
−91.4004
−90.4781
−85.6181
47.2253
48.6455
50.1017
50.5112
50.2442
31.6286
−54.0624
−54.5566
−54.5913
−54.4755
−54.7009
−54.8060
−54.7213
−54.7549
−54.8265
−55.6599
−55.7080
−55.8089
−56.6572
−56.7221
−56.9097
−57.4598
−57.8983
−57.9119
−65.2065
−65.4951
−65.0709
−65.9154
−65.9115
−65.4734
−66.3738
−66.3429
−66.4234
−66.6918
−66.7839
−66.5157
−66.7954
−67.6774
−67.3995
−66.9776
−66.4378
−65.4747
−64.5013
−64.1907
−62.9320
−57.0737
−53.4479
−51.6841
−50.5456
−47.4788
−43.4840
8.3
8.4
14.3
12.7
11.3
6.0
6.6
16.1
37.0
16.0
27.5
26.2
10.5
9.8
23.2
11.9
33.6
28.1
10.3
7.2
26.4
10.1
7.1
22.5
15.2
9.4
6.3
19.8
7.7
30.9
24.3
10.5
10.8
18.7
24.6
15.9
10.9
15.0
19.3
21.9
12.4
26.4
12.6
9.9
15.8
117.1
46.6
75.8
71.8
78.5
167.7
74.6
70.2
249.7
125.1
296.3
122.2
75.3
84.1
214.0
66.8
271.4
237.5
236.8
184.2
1400.9
106.6
87.3
865.2
312.9
69.0
61.1
700.8
89.3
920.9
84.5
131.4
145.4
283.4
442.3
90.1
68.1
71.9
80.1
147.4
303.0
269.7
133.1
51.1
332.3
142.31
153.62
145.35
157.90
158.98
161.80
154.63
147.98
168.10
144.61
162.81
152.72
168.50
161.60
161.51
157.71
157.82
153.46
146.72
152.76
149.35
155.70
155.45
145.33
148.94
154.52
155.82
145.41
157.78
148.30
160.67
158.73
148.45
155.34
160.83
160.30
161.32
167.92
162.77
22.05
176.11
22.53
161.93
162.07
33.41
92.8
41.9
62.9
66.7
73.4
159.4
67.5
60.2
244.5
102.4
283.2
109.3
73.8
79.9
203.1
62.0
251.6
212.8
198.1
163.8
1205.3
97.2
79.5
711.7
268.1
62.4
55.8
577.1
82.7
783.7
80.1
122.5
124.0
257.7
417.8
85.0
64.6
70.4
76.7
136.8
302.3
249.4
126.6
48.7
277.5
71.9
22.0
44.7
29.5
30.1
52.7
32.5
39.7
62.9
73.6
91.4
60.6
18.2
28.1
71.4
27.6
107.1
109.0
130.3
84.6
714.4
44.8
36.8
492.5
162.0
30.9
25.7
398.2
34.5
484.6
36.1
48.6
76.6
119.5
147.1
33.9
24.1
21.0
30.0
58.9
24.0
106.2
43.0
18.3
183.4
2
σR.A.,decl.
σR.A. σdecl.
−0.98925
−0.90585
−0.92271
−0.88566
−0.91518
−0.99280
−0.97412
−0.88013
−0.80000
−0.96399
−0.94929
−0.87580
−0.80786
−0.93069
−0.93932
−0.88510
−0.94091
−0.95781
−0.99550
−0.99540
−0.99907
−0.96914
−0.97763
−0.99846
−0.99400
−0.94159
−0.96365
−0.99817
−0.97087
−0.99719
−0.70637
−0.97272
−0.98619
−0.98513
−0.98415
−0.86767
−0.87997
−0.68485
−0.74244
0.91675
−0.85551
0.96310
−0.95139
−0.82398
0.99466
σmin,c
(μas)
σmaj,c
(μas)
σR.A.,c
(μas)
σDecl.,c
(μas)
36.0
36.0
37.8
37.2
36.8
35.5
35.6
38.5
50.9
38.5
44.5
43.7
36.5
36.3
42.0
37.0
48.5
44.9
36.5
44.4
106.3
51.9
44.2
92.4
67.5
50.0
42.4
83.0
45.6
122.5
98.8
53.1
36.6
39.7
42.8
38.4
36.7
38.1
40.0
90.3
58.7
106.3
37.2
36.4
69.5
206.8
152.5
171.2
168.3
173.2
259.1
170.3
167.1
353.5
214.6
409.8
211.7
170.8
177.6
311.4
164.7
379.6
339.0
338.2
277.4
1826.5
197.0
180.2
1133.4
430.2
166.3
161.0
921.7
181.9
1205.3
178.0
220.9
235.2
394.1
591.8
182.5
165.6
168.3
174.5
237.3
418.0
377.5
222.6
155.0
454.1
165.1
137.6
142.5
156.5
162.3
246.4
154.6
143.2
346.1
176.4
391.8
189.3
167.6
168.9
295.7
153.1
352.0
303.9
283.4
247.5
1572.3
180.8
165.0
933.7
370.2
151.6
147.9
760.3
169.2
1027.5
171.1
206.7
201.4
358.6
559.1
172.3
157.4
164.8
167.1
222.6
417.1
351.1
211.9
147.9
381.0
129.6
75.1
102.2
72.1
71.0
87.7
79.8
94.4
88.3
128.2
128.4
104.5
49.4
65.8
106.5
71.2
150.2
156.7
188.1
133.0
935.6
93.9
85.0
649.2
229.4
84.6
76.4
527.7
80.7
641.9
110.2
94.2
127.0
168.3
198.5
71.4
63.4
51.3
64.3
122.2
65.1
174.8
77.6
58.9
256.7
2
σR.A.,decl.,c
σR.A.,c σdecl.,c
N
LDC
Align
−0.93765
−0.84696
−0.89572
−0.83174
−0.83309
−0.90476
−0.87068
−0.87932
−0.80801
−0.93087
−0.93189
−0.88378
−0.65703
−0.81422
−0.90967
−0.82951
−0.93734
−0.94760
−0.97284
−0.92722
−0.99126
−0.79786
−0.82295
−0.98497
−0.93963
−0.76138
−0.79709
−0.98166
−0.79439
−0.97461
−0.36297
−0.79829
−0.94151
−0.96585
−0.97363
−0.82139
−0.79349
−0.65133
−0.76024
0.61615
−0.42725
0.75684
−0.86388
−0.76265
0.94650
1463
2820
1047
2289
1407
2562
2491
879
431
851
494
329
1598
1516
787
1114
348
343
1193
2199
430
1868
2012
455
991
1782
2500
924
2369
392
579
1678
1241
465
334
937
1099
812
892
376
594
205
1026
1660
880
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
0
0
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
1
1
0
Rate
(Hz)
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
100
100
100
50
50
100
Outlier
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
Vol. 140
δR.A.
(mas)
MUTERSPAUGH ET AL.
13872
13872
13872
13872
13872
13872
13872
13872
13872
13872
13872
13872
13872
13872
13872
13872
13872
13872
13872
13872
13872
13872
13872
13872
13872
13872
13872
13872
13872
13872
13872
13872
13872
13872
13872
13872
13872
13872
13872
16234
16234
16234
16234
16234
16739
HJD
2400000.5
HD
Number
δR.A.
(mas)
δDecl.
(mas)
σmin
(μas)
σmaj
(μas)
φe
(deg)
σR.A.
(μas)
σDecl.
(μas)
54447.20268
54763.30273
52868.49771
52895.47559
52896.45244
52915.44772
52919.38659
52951.32546
52979.24870
53208.49209
53221.50824
53229.49625
53235.49051
53242.51461
53249.49233
53263.49057
53284.42312
53285.36332
53312.38452
53333.27871
53334.28896
53593.48089
53599.50102
53670.34114
53676.29680
53687.21628
53705.23989
53746.19958
53957.50712
53971.47164
53977.45176
53978.46943
54003.41510
54075.21871
54321.51425
54335.50232
54336.49358
54343.45469
54349.44708
54356.41519
54370.41375
54385.35724
54419.26027
54713.47536
54740.40809
−19.2362
−22.8473
−54.7748
−56.0072
−56.9743
−56.7591
−57.1669
−59.0320
−59.2207
−68.8063
−70.2302
−71.9627
−70.3854
−71.0318
−71.2281
−72.1259
−72.7156
−72.4170
−74.6204
−75.3351
−74.9998
−85.6820
−85.7398
−88.3975
−88.0306
−90.5435
−90.1875
−91.0840
−100.2106
−100.8707
−101.1291
−100.9825
−101.8039
−104.4772
−113.3554
−114.1699
−114.0004
−114.3753
−114.4152
−114.8098
−115.3712
−115.5743
−116.7572
−126.7889
−127.8307
−37.7102
−26.1662
193.1608
192.9863
193.4265
192.9154
192.9632
192.9003
192.5059
191.1796
190.9742
191.9201
190.7896
190.6123
190.7635
190.7931
190.3493
190.4805
190.2752
190.1275
189.9412
186.4908
186.2555
185.1358
184.5033
184.9247
184.6091
183.8636
180.0509
179.7833
179.6746
179.5559
179.0073
177.4768
171.5662
171.3764
171.2792
171.1791
170.9166
170.8137
170.5431
170.0673
169.0748
161.1280
160.4343
32.3
4.3
15.1
15.0
24.7
25.0
23.9
26.3
24.6
15.2
16.1
29.8
25.4
22.2
5.4
14.7
16.4
21.0
13.3
28.2
16.1
15.5
13.2
15.1
26.4
19.6
30.9
24.5
5.9
18.3
9.7
10.6
12.4
19.3
9.5
7.7
6.5
6.9
8.3
7.5
7.4
32.9
14.3
21.0
24.9
242.8
133.5
252.1
332.0
1125.4
542.2
673.6
934.3
496.9
379.7
470.4
1340.7
858.1
242.3
37.3
393.5
145.5
201.7
367.1
1597.9
210.9
239.9
247.3
210.6
863.3
115.9
261.5
432.5
129.9
382.4
248.0
112.7
70.4
153.1
282.9
88.7
63.1
189.5
89.3
238.5
43.1
254.8
215.0
173.5
173.7
156.55
150.40
151.25
161.33
156.97
166.40
156.02
161.49
160.95
3.67
16.08
148.93
151.06
29.33
159.12
166.40
33.77
22.00
171.53
160.94
162.09
12.96
152.42
156.85
152.18
11.09
158.62
172.21
150.03
150.06
149.59
152.21
154.36
156.32
150.83
156.89
154.18
150.41
151.16
149.43
155.51
150.95
151.68
157.37
157.78
223.1
116.1
221.2
314.6
1035.8
527.1
615.6
886.0
469.7
379.0
452.0
1148.4
751.1
211.5
34.9
382.5
121.3
187.2
363.1
1510.3
200.8
233.9
219.3
193.7
763.6
113.8
243.8
428.6
112.5
331.5
214.0
99.9
63.7
140.5
247.1
81.6
56.9
164.8
78.3
205.4
39.3
223.3
189.4
160.4
161.1
101.1
66.0
122.0
107.2
440.8
129.8
274.6
297.7
163.8
28.7
131.2
692.4
415.8
120.3
14.2
93.6
82.0
78.0
55.7
522.5
66.7
55.9
115.1
84.0
403.5
29.4
99.6
63.5
65.1
191.5
125.8
53.4
32.4
64.0
138.1
35.5
28.1
93.8
43.7
121.5
19.1
127.0
102.8
69.5
69.6
2
σR.A.,decl.
σR.A. σdecl.
−0.93761
−0.99721
−0.98995
−0.98899
−0.99814
−0.98012
−0.99546
−0.99566
−0.98734
0.84635
0.99186
−0.99874
−0.99755
0.97734
−0.91328
−0.98685
0.97089
0.95683
−0.97047
−0.99837
−0.96714
0.95883
−0.99157
−0.98080
−0.99726
0.73496
−0.94297
−0.92075
−0.99459
−0.99392
−0.99600
−0.97436
−0.90678
−0.94421
−0.99690
−0.97185
−0.96614
−0.99640
−0.97633
−0.99742
−0.90458
−0.95533
−0.98748
−0.94508
−0.92237
σmin,c
(μas)
σmaj,c
(μas)
σR.A.,c
(μas)
σDecl.,c
(μas)
47.6
35.3
67.2
66.9
100.2
101.2
97.3
105.9
99.8
67.5
70.5
118.5
102.7
91.3
40.6
65.9
71.5
87.1
61.5
112.7
70.5
68.5
61.2
67.2
106.3
82.3
122.5
99.5
35.5
39.5
36.3
36.6
37.1
40.0
50.3
45.6
42.8
43.7
47.1
45.1
44.9
129.8
64.6
40.8
43.0
345.3
223.0
356.4
453.7
1469.7
718.6
886.8
1222.6
661.0
513.1
627.3
1748.5
1124.3
344.7
148.2
530.4
235.3
297.2
497.3
2082.0
307.8
341.9
350.7
307.5
1131.0
205.7
367.6
579.4
219.4
516.5
351.5
202.6
167.3
243.3
393.5
181.4
162.3
283.4
181.9
340.2
150.8
359.6
312.6
265.5
265.7
317.3
194.7
314.1
430.4
1353.1
698.9
811.2
1159.9
625.6
512.0
603.1
1498.9
985.1
303.8
139.2
515.7
199.6
277.5
492.0
1968.2
293.7
333.5
312.1
284.0
1001.5
202.5
345.3
574.2
190.9
448.0
303.7
180.1
151.6
223.4
344.5
167.8
147.2
247.3
160.9
293.8
138.5
320.6
276.9
245.5
246.5
144.2
114.3
181.3
158.5
582.3
195.5
371.2
400.9
235.5
75.0
186.5
908.1
551.4
186.7
65.0
140.2
143.7
137.6
95.2
688.2
116.0
101.7
171.2
135.8
536.1
89.9
176.0
126.0
113.8
260.0
180.7
99.9
79.7
104.4
196.8
82.6
80.5
145.0
97.0
177.3
74.7
208.3
158.8
108.9
108.1
2
σR.A.,decl.,c
σR.A.,c σdecl.,c
N
LDC
Align
−0.93318
−0.93550
−0.90720
−0.89554
−0.98239
−0.84651
−0.95805
−0.96046
−0.89410
0.43044
0.91948
−0.98834
−0.97716
0.83181
−0.74737
−0.87534
0.80995
0.73469
−0.75757
−0.98487
−0.77110
0.72305
−0.91586
−0.84418
−0.97463
0.36837
−0.67120
−0.60471
−0.93355
−0.98455
−0.97255
−0.91115
−0.85803
−0.90885
−0.95644
−0.80238
−0.81006
−0.93841
−0.83568
−0.95558
−0.75594
−0.71495
−0.88822
−0.91416
−0.90356
261
3657
578
853
563
426
546
481
594
1336
1272
657
821
837
3990
1076
1304
862
946
604
705
2115
1481
1603
1472
1580
667
368
6579
1625
3402
2252
2181
1138
3585
4434
5238
4717
4563
4406
3394
715
2224
1439
1056
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
Rate
(Hz)
50
50
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
Outlier
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
THE PHASES DIFFERENTIAL ASTROMETRY DATA ARCHIVE. I.
16739
16739
17904
17904
17904
17904
17904
17904
17904
17904
17904
17904
17904
17904
17904
17904
17904
17904
17904
17904
17904
17904
17904
17904
17904
17904
17904
17904
17904
17904
17904
17904
17904
17904
17904
17904
17904
17904
17904
17904
17904
17904
17904
17904
17904
HJD
2400000.5
No. 6, 2010
Table 4
(Continued)
1595
1596
Table 4
(Continued)
HD
Number
δDecl.
(mas)
σmin
(μas)
σmaj
(μas)
φe
(deg)
σR.A.
(μas)
σDecl.
(μas)
54763.34405
54769.33578
54794.26290
54468.24107
52895.52618
52896.49745
52951.36244
53620.53066
53663.40922
53676.35969
53691.31987
53732.22590
53977.50681
53979.52302
54003.41073
54075.26912
54342.51646
54343.50565
54348.52167
54356.47952
54369.45682
54370.45481
54376.43547
54425.27913
54468.21255
52979.33952
53034.13427
53250.50243
53263.53075
53271.46792
53291.40263
53294.47732
53312.38161
53320.33469
53334.32195
53340.29375
53341.28189
53605.52839
53606.51646
53613.51062
53614.50772
53687.37896
53711.29672
53712.28445
53789.14494
−129.1195
−128.8847
−129.6028
−33.3272
−60.6904
−61.1543
−50.4678
57.4978
53.3058
50.6665
50.0569
43.9410
0.4743
−0.8235
−5.8826
−18.5487
−64.3062
−64.2432
−64.6958
−66.1069
−67.8037
−68.7716
−69.5418
−76.2399
−28.9516
−32.1749
−40.3178
−65.6824
−68.2378
−70.0370
−71.5816
−71.0249
−74.1286
−74.5083
−76.1005
−77.4849
−77.5106
−104.7430
−106.5086
−105.2544
−105.6802
−112.2999
−114.6778
−114.0277
−120.0513
159.9749
159.5838
158.8408
17.2516
111.7775
111.9381
105.9390
−81.3535
−87.0778
−83.1246
−89.9745
−92.1914
−81.3542
−80.5741
−77.3104
−68.1538
−21.2231
−21.1709
−20.2642
−18.6432
−16.2381
−15.5673
−14.5283
−5.0107
24.9986
−101.5914
−91.5427
−53.5439
−50.0532
−48.2688
−44.8765
−44.6002
−40.9474
−39.6051
−36.8198
−35.5086
−35.2744
15.6169
16.8979
17.0220
17.1894
31.2083
35.8973
36.0766
51.3666
22.3
23.6
22.4
14.2
30.8
29.2
13.4
23.8
6.9
24.6
9.9
13.9
9.2
24.8
18.0
7.9
11.8
4.7
13.9
7.4
14.3
6.4
13.1
23.6
15.7
8.3
5.6
16.1
5.0
6.6
35.3
12.9
3.1
16.1
8.5
7.3
6.9
7.3
6.3
9.3
10.2
9.9
32.3
16.5
23.8
300.2
247.6
281.1
148.6
1059.7
1768.6
397.7
698.3
115.2
833.9
95.1
248.4
270.6
950.6
2195.5
86.1
251.1
135.5
259.8
260.7
330.3
148.2
300.9
796.7
147.4
191.2
124.7
710.2
119.6
267.9
703.7
680.3
27.2
830.4
333.3
86.1
220.6
382.6
389.0
312.5
309.4
91.0
352.2
130.5
1243.5
156.05
157.51
157.05
172.17
158.16
153.09
155.40
156.26
155.27
152.41
153.81
155.52
148.49
151.80
145.06
153.16
149.79
148.57
153.69
149.84
152.04
151.88
151.37
147.61
152.73
163.71
152.78
147.24
158.10
150.15
148.37
164.09
154.15
150.23
154.46
152.98
150.70
147.65
146.14
147.80
147.94
31.80
29.41
27.87
40.17
274.5
229.0
259.0
147.2
983.7
1577.1
361.6
639.3
104.7
739.1
85.5
226.1
230.8
837.8
1799.7
76.9
217.1
115.7
233.0
225.4
291.8
130.7
264.1
672.8
131.2
183.5
111.0
597.3
111.0
232.4
599.5
654.2
24.5
720.8
300.8
76.7
192.4
323.2
323.0
264.5
262.3
77.5
307.2
115.6
950.3
123.6
97.2
111.5
24.6
395.2
800.9
166.0
281.9
48.6
386.8
42.9
103.7
141.7
449.7
1257.5
39.5
126.8
70.8
115.8
131.1
155.4
70.1
144.6
427.3
68.9
54.2
57.3
384.5
44.9
133.5
370.3
186.9
12.2
412.6
143.9
39.6
108.1
204.8
216.8
166.7
164.4
48.7
175.2
62.7
802.3
2
σR.A.,decl.
σR.A. σdecl.
−0.98026
−0.96477
−0.97603
−0.81447
−0.99647
−0.99916
−0.99603
−0.99575
−0.98759
−0.99742
−0.96616
−0.98914
−0.99710
−0.99804
−0.99985
−0.97436
−0.99416
−0.99699
−0.99096
−0.99787
−0.99455
−0.99460
−0.99467
−0.99787
−0.96662
−0.98733
−0.99394
−0.99876
−0.99268
−0.99836
−0.99371
−0.99742
−0.95879
−0.99899
−0.99785
−0.97862
−0.99734
−0.99911
−0.99939
−0.99781
−0.99734
0.97114
0.97743
0.95493
0.99925
σmin,c
(μas)
σmaj,c
(μas)
σR.A.,c
(μas)
σDecl.,c
(μas)
41.5
42.2
41.6
37.8
122.2
116.3
61.8
97.0
43.7
99.8
51.4
63.4
36.2
42.9
39.4
35.9
56.9
39.3
63.4
44.9
64.6
42.6
60.9
96.3
38.4
47.1
41.0
70.5
39.8
43.1
138.6
60.2
36.9
70.5
47.6
44.7
43.7
44.7
42.4
49.7
52.2
51.4
127.6
71.8
97.0
414.6
351.0
391.3
238.6
1384.7
2303.4
535.6
918.5
205.0
1093.1
186.8
352.0
378.6
1243.7
2857.6
179.2
355.2
225.0
365.6
366.7
451.6
238.2
415.5
1045.1
237.3
285.3
214.2
933.8
209.2
375.4
925.5
895.4
144.4
1088.6
455.3
179.2
319.1
516.7
524.7
429.7
425.9
183.3
478.8
220.0
1622.6
379.3
324.7
360.7
236.4
1286.1
2054.7
487.7
841.7
187.1
969.9
169.1
321.4
323.3
1096.3
2342.6
160.8
308.3
193.1
328.9
317.8
400.1
211.0
365.8
884.0
211.7
274.1
191.4
786.2
194.7
326.3
791.3
861.3
130.9
945.5
411.4
161.0
279.1
437.2
436.4
364.6
362.0
158.1
421.8
197.3
1241.5
172.5
139.8
157.3
49.6
527.5
1047.7
229.9
380.3
94.5
513.9
94.5
156.8
200.3
588.9
1636.9
87.0
185.4
122.0
171.7
188.3
219.3
118.4
206.1
565.7
114.0
91.9
104.5
508.8
86.3
190.5
499.5
252.2
71.2
543.9
201.0
90.6
160.8
279.0
294.5
232.8
230.4
106.0
260.1
120.8
1049.3
2
σR.A.,decl.,c
σR.A.,c σdecl.,c
N
LDC
Align
−0.96481
−0.94524
−0.95806
−0.63918
−0.96841
−0.99222
−0.95546
−0.96050
−0.86196
−0.97575
−0.79941
−0.89680
−0.97736
−0.99658
−0.99957
−0.88808
−0.93541
−0.92693
−0.91202
−0.96141
−0.94303
−0.91371
−0.94211
−0.97956
−0.92605
−0.84586
−0.89870
−0.98637
−0.86852
−0.96561
−0.94586
−0.96868
−0.82024
−0.98881
−0.96498
−0.83600
−0.95041
−0.98195
−0.98489
−0.96778
−0.96377
0.82717
0.83045
0.74914
0.99268
1142
918
1364
6847
153
270
774
475
2857
748
1896
763
2250
542
1248
3072
2658
4237
1447
2794
1464
3606
1640
875
6685
2353
2951
1027
4074
4005
408
1355
8150
1838
2093
3602
3630
2855
3205
1614
1716
3260
833
2889
761
1
1
1
1
0
0
0
0
0
0
0
0
1
1
1
1
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
Rate
(Hz)
50
50
50
50
100
100
100
100
100
100
100
100
50
50
50
50
50
50
50
50
50
50
50
50
50
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
Outlier
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
Vol. 140
δR.A.
(mas)
MUTERSPAUGH ET AL.
17904
17904
17904
19356
26690
26690
26690
26690
26690
26690
26690
26690
26690
26690
26690
26690
26690
26690
26690
26690
26690
26690
26690
26690
28307
29140
29140
29140
29140
29140
29140
29140
29140
29140
29140
29140
29140
29140
29140
29140
29140
29140
29140
29140
29140
HJD
2400000.5
HD
Number
δR.A.
(mas)
δDecl.
(mas)
σmin
(μas)
σmaj
(μas)
φe
(deg)
σR.A.
(μas)
σDecl.
(μas)
53790.13845
54030.46166
54055.38704
54061.37315
54075.33237
54083.30631
54084.31264
54103.25527
54138.15393
54349.52640
54384.45472
54007.52586
54008.52179
54356.52411
53271.50038
53285.47135
53290.47993
53312.46235
53334.41285
53340.38026
53341.34797
53639.51369
53663.47710
53698.43976
53705.34728
53732.29770
53753.23345
53789.18175
54056.41997
54061.42509
54103.32274
54376.53421
54384.53862
54391.50585
52979.30446
53294.53873
53333.48253
53340.45440
53341.40117
53446.17307
53632.51409
53637.49803
53639.48943
53648.46693
53676.48593
−119.0497
−135.6394
−136.2414
−136.6954
−136.8559
−137.8506
−136.7974
−137.6727
−139.3240
−143.0809
−142.3448
−48.9471
−48.2120
−58.9350
59.1469
61.8963
62.4497
66.0452
69.4570
70.2143
70.4710
104.4656
106.2449
110.2453
108.6099
111.8056
113.4811
117.7651
131.6216
132.3700
134.6930
143.7491
144.3181
144.4388
−66.3021
−88.2656
−89.7805
−90.9105
−91.1426
−95.9927
−101.1302
−101.6928
−101.3809
−102.0040
−102.6684
52.0580
94.2528
98.5399
99.4920
101.6153
103.1454
103.1035
106.3288
112.2447
143.4811
147.7776
51.9661
51.8597
79.8443
105.9933
110.1620
112.0044
119.6805
127.2486
128.6950
129.3401
211.4485
217.1611
225.7801
226.3862
231.4895
235.7264
244.3028
287.8565
288.4524
294.9206
326.7842
327.8358
328.8837
−208.2956
−155.7271
−148.6646
−146.6141
−146.4472
−125.5838
−86.5536
−84.5006
−84.4832
−82.1033
−75.5939
31.0
20.2
19.2
6.5
5.4
12.6
25.5
17.1
11.4
5.7
14.6
18.7
13.1
15.2
5.2
8.5
22.9
3.0
6.7
8.7
7.7
9.4
6.0
27.1
32.5
11.6
25.3
27.4
20.5
17.8
25.9
16.1
19.1
32.3
26.8
4.6
8.9
6.0
5.5
21.1
5.7
17.0
5.2
3.8
7.6
1065.5
605.8
348.0
120.8
99.8
275.5
696.6
404.7
183.2
127.3
453.7
268.0
228.3
368.1
281.6
217.9
1175.7
62.6
136.0
95.5
84.7
131.0
70.2
516.9
1039.0
108.3
200.4
1326.5
161.6
335.4
616.3
246.3
398.7
584.0
1525.0
92.1
131.9
59.9
34.1
546.1
79.0
325.4
77.6
85.2
56.0
39.39
163.75
161.74
163.08
162.18
161.39
163.11
162.34
161.39
152.85
156.65
165.19
164.52
155.47
146.70
19.95
151.07
158.79
160.77
157.63
153.15
149.61
153.87
37.76
151.29
156.29
158.08
36.86
159.05
161.71
163.89
156.47
161.42
158.22
147.21
166.41
177.46
172.85
164.67
178.11
148.68
148.11
148.27
147.36
164.94
823.6
581.7
330.5
115.6
95.0
261.1
666.6
385.7
173.6
113.3
416.6
259.2
220.1
334.9
235.4
204.8
1029.0
58.3
128.4
88.4
75.7
113.1
63.0
409.0
911.5
99.3
186.2
1061.4
151.1
318.5
592.2
225.9
378.0
542.5
1282.2
89.6
131.8
59.4
32.9
545.8
67.6
276.4
66.1
71.8
54.1
676.6
170.6
110.6
35.7
31.0
88.7
203.8
123.8
59.5
58.3
180.4
70.8
62.2
153.4
154.7
74.8
569.1
22.8
45.2
37.2
38.9
66.8
31.4
317.2
499.9
44.8
78.4
796.1
60.9
106.6
172.8
99.4
128.3
218.7
826.1
22.1
10.7
9.5
10.5
27.7
41.4
172.5
41.1
46.1
16.3
2
σR.A.,decl.
σR.A. σdecl.
0.99824
−0.99240
−0.98318
−0.98164
−0.98298
−0.98863
−0.99139
−0.98949
−0.97917
−0.99386
−0.99612
−0.96217
−0.97575
−0.99407
−0.99918
0.99273
−0.99894
−0.98982
−0.98775
−0.96792
−0.97538
−0.98653
−0.97702
0.99417
−0.99724
−0.95961
−0.93783
0.99908
−0.93262
−0.98450
−0.98779
−0.98427
−0.98766
−0.98730
−0.99926
−0.97711
−0.54724
−0.77520
−0.83856
−0.64874
−0.98712
−0.99325
−0.98900
−0.99514
−0.87684
σmin,c
(μas)
σmaj,c
(μas)
σR.A.,c
(μas)
σDecl.,c
(μas)
122.9
40.4
39.9
35.6
35.4
37.2
43.3
39.0
36.8
41.2
65.6
39.7
37.4
67.5
40.2
47.6
93.8
36.8
43.3
48.1
45.6
50.0
41.8
108.8
128.4
56.3
102.3
109.8
40.6
39.3
43.5
70.5
80.6
127.6
107.7
39.1
48.7
41.8
40.8
87.5
41.2
73.5
40.2
37.9
45.4
1392.2
799.9
473.6
210.4
190.9
384.5
916.3
544.4
276.3
216.8
606.2
375.5
328.2
498.6
391.9
316.0
1534.8
161.9
225.5
187.1
178.1
220.5
167.1
686.4
1357.9
198.5
295.8
1730.1
252.5
457.9
813.3
349.5
536.9
772.0
1987.4
184.2
221.4
160.2
146.9
723.6
173.6
445.6
172.6
178.5
157.8
1078.8
768.0
449.9
201.5
182.0
364.6
876.9
518.9
262.1
193.8
557.2
363.1
316.4
454.5
328.3
297.5
1344.0
151.6
213.4
174.0
160.2
191.8
151.2
546.7
1192.6
183.2
277.0
1385.8
236.2
435.0
781.5
321.6
509.5
718.5
1671.8
179.3
221.2
159.0
142.0
723.2
149.9
380.3
148.3
151.7
152.8
888.6
227.2
153.1
70.1
67.4
127.7
269.4
169.3
94.8
105.5
247.7
103.4
94.7
215.9
217.8
116.7
747.0
67.9
84.8
84.0
90.2
119.6
82.6
429.0
662.0
95.0
145.6
1041.5
97.9
148.5
229.5
153.8
187.3
310.0
1080.1
57.6
49.6
46.0
55.3
90.6
96.9
243.5
97.0
101.4
60.0
2
σR.A.,decl.,c
σR.A.,c σdecl.,c
N
LDC
Align
0.98394
−0.98269
−0.96162
−0.84776
−0.83479
−0.95163
−0.98580
−0.97042
−0.91242
−0.89971
−0.95759
−0.91784
−0.91241
−0.93928
−0.97543
0.90121
−0.98967
−0.81512
−0.84199
−0.78739
−0.82684
−0.87694
−0.82913
0.94800
−0.97532
−0.76673
−0.66118
0.99129
−0.89660
−0.96046
−0.98032
−0.86713
−0.89142
−0.89681
−0.99295
−0.71644
−0.18821
−0.40384
−0.64664
−0.25945
−0.87041
−0.93544
−0.87600
−0.89835
−0.62487
624
1268
1679
4216
5902
3845
1182
743
3142
9473
1729
1515
3134
2396
3092
2503
531
6840
2876
2056
3570
1204
1829
827
574
1103
621
610
699
515
182
639
558
271
1107
5367
3951
5359
6204
1559
6802
1869
5352
8580
6904
0
1
1
1
1
1
1
1
1
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
Rate
(Hz)
100
50
50
100
50
50
50
100
50
50
100
50
50
50
100
100
100
100
100
100
100
100
100
100
100
100
100
100
50
100
100
50
100
100
100
100
100
100
100
100
100
100
100
100
100
Outlier
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
THE PHASES DIFFERENTIAL ASTROMETRY DATA ARCHIVE. I.
29140
29140
29140
29140
29140
29140
29140
29140
29140
29140
29140
30090
30090
30090
40932
40932
40932
40932
40932
40932
40932
40932
40932
40932
40932
40932
40932
40932
40932
40932
40932
40932
40932
40932
41116
41116
41116
41116
41116
41116
41116
41116
41116
41116
41116
HJD
2400000.5
No. 6, 2010
Table 4
(Continued)
1597
1598
Table 4
(Continued)
HD
Number
δDecl.
(mas)
σmin
(μas)
σmaj
(μas)
φe
(deg)
σR.A.
(μas)
σDecl.
(μas)
53690.37578
53725.40629
53747.28929
53753.26569
53760.26558
53992.52332
53993.53718
54005.50485
54009.51223
54029.41661
54369.52002
54376.47755
54384.49380
54391.44955
54420.45604
54425.41497
54524.18054
54769.46872
54794.41053
52979.39500
53034.23459
53250.53134
53271.53548
53272.54422
53284.49457
53312.51677
53334.45165
53340.45995
53670.43724
53727.30559
53732.32706
53753.26329
53780.16231
54003.53291
54006.51469
54056.44638
54075.40339
54350.53105
54483.24948
54524.16706
54748.50946
54762.44298
53034.27303
53648.52545
53663.52313
−101.8137
−103.4052
−102.5682
−103.5685
−102.6124
−101.7159
−100.2397
−100.2658
−98.3076
−96.2216
−74.6987
−76.0054
−72.3091
−71.4185
−67.5093
−68.4678
−53.7486
−10.4299
−5.2193
−35.2577
−34.8746
−32.0356
−33.7021
−33.0730
−33.8095
−33.8413
−33.6514
−33.9078
−30.3885
−31.4332
−31.2318
−30.9670
−31.4738
−30.1816
−29.8046
−29.6302
−29.4892
−28.1189
−26.6224
−26.8294
−25.6082
−25.9496
−21.7671
−24.0983
−23.5607
−73.7882
−64.3701
−60.3672
−57.7633
−57.0295
0.4800
−0.1331
2.5738
2.6117
11.4119
86.9307
85.0768
89.5548
90.3825
95.7218
98.1220
112.9393
127.9161
125.9489
119.9384
119.6472
117.5082
118.8737
118.5858
118.8309
118.8095
118.7316
118.7351
116.3393
116.9579
116.8380
116.6434
116.7661
115.6561
115.3735
115.1160
115.0714
113.5520
112.3288
112.2227
110.7129
110.8420
69.7307
102.0803
100.7802
16.0
7.3
11.4
7.2
16.2
6.2
23.6
3.8
6.0
28.7
3.0
6.6
6.0
9.5
4.9
6.2
3.9
7.5
8.3
7.8
5.8
25.0
4.8
17.3
13.8
2.7
5.3
7.2
18.2
14.5
5.2
16.6
19.4
11.3
9.0
12.9
6.5
10.3
21.5
5.2
17.0
17.9
10.8
7.5
5.9
163.8
97.8
85.1
45.9
99.3
174.8
1190.0
43.1
252.9
593.7
47.4
321.9
147.2
192.7
42.3
54.9
23.1
125.2
152.4
330.6
139.7
2606.9
167.3
2086.3
138.0
66.5
208.1
265.4
772.7
171.8
30.7
207.8
340.5
720.2
215.1
105.6
120.3
619.4
180.3
78.0
250.0
358.2
343.2
201.5
64.3
150.02
177.25
164.11
162.23
172.39
147.52
150.05
150.77
152.70
146.39
152.01
147.82
154.26
150.78
163.49
159.19
165.35
157.83
160.44
160.82
158.68
142.49
150.71
152.61
18.94
168.42
167.00
172.71
149.13
152.53
159.29
155.05
153.26
150.97
149.25
160.48
162.27
143.81
156.77
160.66
154.50
149.17
157.37
147.85
154.41
142.1
97.7
81.9
43.8
98.4
147.5
1031.2
37.7
224.8
494.7
41.8
272.4
132.6
168.3
40.6
51.3
22.4
116.0
143.7
312.3
130.2
2067.8
146.0
1852.4
130.6
65.2
202.8
263.3
663.3
152.6
28.8
188.5
304.2
629.8
184.9
99.6
114.6
499.9
165.9
73.7
225.7
307.7
316.8
170.7
58.0
83.0
8.7
25.8
15.6
20.8
94.0
594.4
21.3
116.1
329.5
22.4
171.5
64.1
94.4
12.9
20.3
6.9
47.8
51.6
108.9
51.1
1587.6
82.0
959.9
46.7
13.6
47.1
34.4
396.8
80.3
11.9
88.9
154.2
349.7
110.2
37.3
37.2
365.8
73.8
26.3
108.7
184.2
132.4
107.4
28.3
2
σR.A.,decl.
σR.A. σdecl.
−0.97506
−0.53915
−0.88779
−0.87561
−0.61596
−0.99692
−0.99895
−0.97876
−0.99831
−0.99454
−0.98862
−0.99897
−0.99463
−0.99329
−0.91879
−0.94612
−0.81735
−0.98567
−0.98533
−0.99709
−0.99265
−0.99980
−0.99778
−0.99979
0.95010
−0.97877
−0.99319
−0.97730
−0.99857
−0.97902
−0.88278
−0.97870
−0.99007
−0.99932
−0.99545
−0.93095
−0.98294
−0.99939
−0.94874
−0.97785
−0.98490
−0.99358
−0.99611
−0.99662
−0.97280
σmin,c
(μas)
σmaj,c
(μas)
σR.A.,c
(μas)
σDecl.,c
(μas)
70.2
44.7
55.7
44.4
70.8
35.5
42.2
35.2
35.5
45.3
36.8
43.1
41.8
50.3
39.6
42.2
35.2
35.8
36.0
45.9
41.4
101.2
39.5
74.5
63.0
36.5
40.4
44.4
77.5
65.3
40.2
72.1
81.6
36.8
36.1
37.3
35.6
52.5
41.1
35.4
38.9
39.3
53.9
45.1
41.6
254.8
189.1
178.4
152.2
190.4
266.9
1553.3
150.8
357.3
784.4
153.0
441.3
237.1
287.0
150.4
157.1
143.2
214.7
242.6
452.0
229.3
3391.9
258.7
2715.8
227.6
164.5
304.6
372.3
1014.2
263.6
145.6
304.3
464.3
946.7
312.7
196.1
209.9
817.3
273.0
172.9
353.9
486.3
467.6
297.0
163.1
223.5
188.9
172.3
145.6
189.0
226.0
1346.1
132.7
318.0
653.8
136.2
374.2
214.3
251.7
144.7
147.7
138.8
199.3
228.9
427.2
214.1
2691.3
226.4
2411.6
216.2
161.4
296.9
369.4
871.4
235.8
136.9
277.5
416.2
827.9
269.4
185.2
200.2
660.3
251.4
163.5
319.8
418.0
432.1
252.6
148.2
141.1
45.5
72.5
62.8
74.6
146.4
776.3
79.8
166.9
435.8
78.8
237.8
109.6
146.8
57.2
68.4
49.7
87.5
88.0
154.7
91.8
2066.9
131.1
1251.1
94.9
48.7
79.0
64.6
524.6
134.7
63.7
144.1
221.2
460.5
162.9
74.4
72.4
484.4
114.1
66.3
156.3
251.5
186.7
162.6
79.8
2
σR.A.,decl.,c
σR.A.,c σdecl.,c
N
LDC
Align
−0.82379
−0.18819
−0.60584
−0.67336
−0.29101
−0.95801
−0.99803
−0.86524
−0.97099
−0.99221
−0.85128
−0.97694
−0.90684
−0.92057
−0.69325
−0.75396
−0.68285
−0.89772
−0.90132
−0.94952
−0.87604
−0.99809
−0.93904
−0.99775
0.71511
−0.64479
−0.85156
−0.72080
−0.98510
−0.84051
−0.74199
−0.83582
−0.91145
−0.99582
−0.96626
−0.84733
−0.85674
−0.99096
−0.92043
−0.82550
−0.96134
−0.98333
−0.94987
−0.94524
−0.81929
2926
5423
3985
6523
3342
4773
915
12158
5461
1132
14346
5151
5792
6421
6067
6844
7182
8293
7367
1101
1788
296
2926
458
692
5124
1838
1302
807
575
2040
536
280
2220
2719
1148
2274
2054
837
2873
1382
771
2226
6540
6293
0
0
0
0
0
1
1
1
1
1
0
0
0
0
0
0
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
0
1
1
1
1
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
0
0
0
Rate
(Hz)
100
100
100
100
100
100
50
50
50
50
50
50
100
100
50
50
50
50
50
100
100
100
100
100
100
100
100
100
100
100
100
100
100
50
50
50
50
50
50
50
50
50
100
100
100
Outlier
0
0
0
0
0
0
0
0
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
Vol. 140
δR.A.
(mas)
MUTERSPAUGH ET AL.
41116
41116
41116
41116
41116
41116
41116
41116
41116
41116
41116
41116
41116
41116
41116
41116
41116
41116
41116
44926
44926
44926
44926
44926
44926
44926
44926
44926
44926
44926
44926
44926
44926
44926
44926
44926
44926
44926
44926
44926
44926
44926
58728
58728
58728
HJD
2400000.5
HD
Number
δR.A.
(mas)
δDecl.
(mas)
σmin
(μas)
σmaj
(μas)
φe
(deg)
σR.A.
(μas)
σDecl.
(μas)
53705.41371
53727.33588
53732.39012
53739.31549
53746.29719
53747.35674
53779.20452
53790.20966
54174.16806
54370.52780
54383.51155
54420.47609
54425.46497
54483.33279
54503.23719
54524.19366
54526.16985
54529.16654
52948.54661
52952.49909
52979.49138
53034.32232
53284.53247
53312.55639
53333.53712
53334.53365
53340.52090
53341.51946
53466.17741
53473.16554
53687.49497
54175.21628
54083.45907
54084.47707
54090.44605
54103.38879
54138.28852
54174.18725
54179.20791
54194.15600
54420.54028
54433.49036
54483.34004
54526.29870
54529.34042
−23.6320
−21.9527
−22.6217
−22.1496
−22.4211
−22.3286
−20.3576
−18.9168
−8.6169
−23.7857
−24.4379
−24.1552
−24.8721
−23.4139
−22.0842
−21.4321
−21.0047
−17.9140
50.6805
51.4400
51.1041
49.0157
45.2897
45.0879
45.3627
45.7510
44.7072
44.5720
43.6811
43.3236
40.5353
264.5539
−243.2769
−243.4674
−245.6274
−249.1727
−259.1432
−268.1380
−270.1570
−273.3613
−329.5905
−332.4642
−344.5220
−353.8186
−354.0925
94.8323
89.4581
88.7557
86.7264
85.1343
84.7353
74.4071
70.5481
42.2071
103.1992
103.4596
101.3020
101.1027
91.0054
85.5832
79.3948
78.5180
76.3879
−59.5074
−59.6509
−58.3711
−55.6260
−47.1859
−46.9776
−46.7988
−46.7960
−46.6276
−46.6507
−44.8996
−44.7518
−37.8723
58.6260
491.0586
490.7196
488.8202
484.6900
473.1842
460.6022
459.0538
453.6365
369.6534
364.4549
345.1646
327.4686
326.1132
10.9
25.8
8.1
12.2
9.6
21.7
21.2
27.2
8.0
8.0
31.0
8.4
17.2
18.0
25.9
9.0
36.3
16.1
3.5
7.6
10.8
3.9
3.4
1.7
7.6
3.5
3.0
3.7
5.0
3.7
4.4
9.8
7.3
9.4
21.1
11.6
29.0
11.1
26.1
14.0
14.2
23.9
19.1
33.6
22.5
70.3
1204.1
101.0
326.7
66.3
406.3
132.5
239.3
74.3
277.9
689.9
84.6
163.6
123.0
519.3
174.0
1269.6
898.3
62.2
203.3
481.2
109.6
40.7
37.6
258.7
132.4
66.0
35.7
53.1
60.6
47.0
83.5
155.3
111.8
371.2
137.6
462.9
299.7
318.2
264.6
437.5
339.7
806.1
1083.4
147.0
152.52
150.55
162.58
152.77
153.84
165.65
150.45
30.76
160.67
144.91
147.56
157.90
158.05
164.37
155.69
157.34
154.42
155.39
165.74
157.89
171.72
166.98
17.46
166.79
175.88
175.23
175.72
176.05
176.16
178.48
29.60
159.86
156.07
161.34
158.36
152.86
152.45
152.26
159.43
156.59
158.11
155.17
151.75
167.11
178.82
62.6
1048.6
96.4
290.5
59.7
393.7
115.7
206.1
70.2
227.4
582.5
78.4
151.8
118.5
473.3
160.6
1145.2
816.8
60.3
188.4
476.2
106.8
38.9
36.6
258.0
131.9
65.8
35.7
53.0
60.6
40.9
78.4
141.9
105.9
345.2
122.6
410.6
265.3
298.1
242.9
406.0
308.5
710.2
1056.1
147.0
33.9
592.4
31.2
149.9
30.5
102.9
67.9
124.6
25.7
159.9
371.0
32.7
63.2
37.4
215.1
67.6
549.2
374.3
15.7
76.9
70.1
25.0
12.7
8.8
20.1
11.5
5.7
4.4
6.1
4.1
23.5
30.2
63.3
36.8
138.3
63.6
215.7
139.8
114.4
105.9
163.6
144.3
381.9
243.9
22.7
2
σR.A.,decl.
σR.A. σdecl.
−0.93234
−0.99875
−0.96273
−0.99580
−0.93716
−0.97597
−0.93377
0.96737
−0.94447
−0.99814
−0.99510
−0.96108
−0.95604
−0.86616
−0.99124
−0.98945
−0.99731
−0.99888
−0.97250
−0.99427
−0.98787
−0.98703
0.95873
−0.97880
−0.92495
−0.95181
−0.85574
−0.54756
−0.57727
−0.39431
0.97657
−0.93862
−0.99203
−0.96344
−0.98646
−0.97871
−0.98842
−0.99598
−0.97001
−0.98962
−0.99561
−0.98328
−0.99838
−0.98994
−0.12997
σmin,c
(μas)
σmaj,c
(μas)
σR.A.,c
(μas)
σDecl.,c
(μas)
54.2
104.1
46.6
58.1
50.6
89.6
87.8
109.1
35.9
46.4
122.9
47.4
74.1
39.4
43.5
36.1
50.4
38.5
37.4
45.4
53.9
38.0
37.3
35.6
45.4
37.4
36.8
37.7
39.8
37.7
38.8
36.3
35.8
36.2
40.9
36.9
45.5
36.7
43.7
37.7
64.3
42.4
39.9
48.5
41.6
167.2
1571.6
191.9
447.2
164.4
546.4
222.0
341.1
170.1
387.4
907.7
178.0
254.6
212.5
689.5
266.0
1656.4
1176.2
161.7
299.1
641.0
199.8
149.7
148.3
364.3
221.9
164.2
147.5
156.1
160.6
152.8
177.2
245.7
201.8
502.5
227.2
617.8
414.0
436.7
371.4
585.7
463.3
1057.2
1415.4
236.9
150.4
1369.5
183.7
398.5
149.2
529.8
197.9
298.4
160.9
318.1
768.9
165.9
237.8
204.9
628.6
245.9
1494.2
1069.4
157.0
277.6
634.4
194.8
143.2
144.6
363.4
221.1
163.8
147.2
155.8
160.6
134.2
166.8
225.0
191.5
467.3
202.8
548.2
366.8
409.2
341.1
544.0
420.8
931.5
1379.7
236.8
90.9
778.0
72.7
211.0
85.5
160.9
133.5
198.1
65.7
225.9
497.8
80.1
117.4
68.7
286.6
107.8
716.6
491.0
53.9
120.2
106.6
58.3
57.3
48.5
52.3
41.6
38.7
39.0
41.1
37.9
82.6
69.9
104.9
73.1
189.1
108.7
288.6
195.4
158.8
151.6
226.4
198.3
501.6
319.3
41.9
2
σR.A.,decl.,c
σR.A.,c σdecl.,c
N
LDC
Align
−0.74869
−0.98814
−0.74203
−0.95110
−0.75885
−0.81861
−0.67483
0.77675
−0.81642
−0.96828
−0.95660
−0.77272
−0.73679
−0.80419
−0.98602
−0.93188
−0.99695
−0.99627
−0.69831
−0.91351
−0.85952
−0.74350
0.73276
−0.65787
−0.49281
−0.43058
−0.30071
−0.24359
−0.23783
−0.10611
0.84533
−0.83362
−0.92815
−0.85288
−0.97264
−0.92503
−0.98412
−0.97726
−0.95597
−0.96264
−0.95207
−0.97193
−0.99592
−0.98777
−0.11288
3183
1157
2692
2054
2658
910
1190
699
4377
6305
2204
6149
2941
1895
1769
3559
1163
2141
3366
1641
920
2908
4342
6209
1534
2536
3962
3679
1969
3671
3729
1150
2841
1561
601
1087
530
2363
931
2072
1630
1902
1912
674
957
0
0
0
0
0
0
0
0
1
0
0
0
0
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
Rate
(Hz)
100
100
100
100
100
100
100
100
50
50
50
50
50
50
50
50
50
50
100
100
100
100
100
100
100
100
100
100
100
100
100
50
50
100
100
100
50
50
50
50
50
50
50
50
50
Outlier
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
THE PHASES DIFFERENTIAL ASTROMETRY DATA ARCHIVE. I.
58728
58728
58728
58728
58728
58728
58728
58728
58728
58728
58728
58728
58728
58728
58728
58728
58728
58728
60318
60318
60318
60318
60318
60318
60318
60318
60318
60318
60318
60318
60318
75470
76943
76943
76943
76943
76943
76943
76943
76943
76943
76943
76943
76943
76943
HJD
2400000.5
No. 6, 2010
Table 4
(Continued)
1599
1600
Table 4
(Continued)
HD
Number
54530.24857
54538.23460
54544.24148
52979.53035
53033.37609
53034.38885
53109.25209
53123.17148
53285.53887
53333.56349
53334.56941
53340.57025
53341.55502
53466.23066
53467.22246
53473.26739
53687.51884
53698.44537
53699.46898
53718.56135
53726.52349
53732.49665
53734.47257
53746.46960
53753.43625
53777.36184
53779.35888
53789.23747
53790.24516
53818.32093
53865.18143
53866.15364
54070.54943
54075.56122
54083.56093
54084.53031
54090.54319
54138.39563
54174.33117
54175.31402
54196.22624
54215.17245
54216.18008
54229.17768
54231.17091
−353.8025
−355.8054
−357.0549
−110.2675
−114.2128
−114.5321
−120.2164
−121.0349
−132.4920
−135.5142
−136.1269
−136.4403
−136.6624
−145.0282
−144.8811
−145.8576
−158.9633
−159.9349
−159.9509
−161.1589
−161.4619
−161.8307
−161.9759
−162.8842
−162.8057
−164.5512
−164.2439
−165.3090
−165.4556
−167.2428
−170.1031
−170.3111
−181.8796
−182.0574
−182.6256
−183.5955
−183.0315
−185.2061
−187.4601
−187.4958
−188.4392
−189.6068
−189.4611
−190.3568
−190.2099
δDecl.
(mas)
σmin
(μas)
325.6138
322.5258
319.9628
85.2636
86.1745
86.2387
87.6006
87.8155
90.3807
90.8606
90.9579
91.0411
91.1231
92.6659
92.5945
92.6361
94.9883
95.0992
95.0570
95.3146
95.3770
95.4057
95.4596
95.5801
95.5909
95.8050
95.7494
96.0722
95.9622
96.1559
96.5281
96.5471
97.9328
97.9003
97.9823
98.1133
98.0199
98.2216
98.3954
98.4070
98.4568
98.5838
98.5665
98.6330
98.6405
24.9
7.9
12.4
10.4
12.4
4.0
8.9
5.2
4.8
10.6
10.0
11.2
16.9
9.3
17.5
24.9
6.6
15.6
19.4
12.2
11.1
4.5
3.3
8.0
20.8
9.5
20.4
30.6
7.6
14.4
9.6
12.5
8.4
11.6
15.1
23.7
13.3
18.1
5.8
5.5
7.6
3.8
17.4
14.4
8.5
σmaj
(μas)
165.4
70.7
92.5
275.0
401.5
36.5
125.1
103.4
120.0
328.6
202.5
241.3
147.5
59.2
202.4
329.1
47.7
99.7
109.3
119.7
183.4
45.1
30.1
94.0
813.3
188.7
437.0
827.4
157.5
296.3
294.3
373.2
124.1
190.4
249.6
930.5
160.1
405.1
118.7
104.1
167.2
55.4
138.1
298.9
170.5
φe
(deg)
σR.A.
(μas)
σDecl.
(μas)
158.46
161.27
164.91
167.10
164.98
167.91
5.71
175.66
3.60
167.60
169.67
173.55
170.45
174.15
172.63
9.15
21.60
10.95
16.29
179.01
175.11
172.21
167.83
174.54
171.92
170.04
170.37
21.45
23.84
7.09
5.53
179.72
167.85
173.89
178.94
171.99
179.08
174.88
3.34
0.04
173.34
172.53
175.19
4.01
3.56
154.2
67.0
89.4
268.0
387.8
35.7
124.5
103.1
119.7
321.0
199.2
239.7
145.5
58.9
200.7
325.0
44.4
97.9
105.1
119.7
182.7
44.7
29.4
93.6
805.2
185.8
430.9
770.2
144.1
294.1
292.9
373.2
121.4
189.3
249.6
921.5
160.1
403.5
118.5
104.1
166.0
54.9
137.6
298.2
170.1
65.0
23.9
26.9
62.2
104.8
8.6
15.3
9.4
8.9
71.3
37.6
29.3
29.6
11.1
31.3
57.8
18.6
24.4
35.9
12.4
19.1
7.5
7.1
12.0
116.1
33.9
75.8
303.9
64.0
39.3
30.0
12.6
27.4
23.3
15.8
131.8
13.5
40.3
9.0
5.5
20.8
8.1
20.8
25.4
13.5
2
σR.A.,decl.
σR.A. σdecl.
−0.91158
−0.93774
−0.87857
−0.98530
−0.99248
−0.88040
0.80954
−0.83267
0.84170
−0.98844
−0.96248
−0.92269
−0.81530
−0.53277
−0.82461
0.89955
0.92521
0.75695
0.82698
−0.16542
−0.81294
−0.80147
−0.88005
−0.73969
−0.98349
−0.95855
−0.96220
0.99413
0.99165
0.92959
0.94621
−0.14192
−0.94951
−0.86658
−0.29046
−0.98339
−0.18942
−0.89333
0.76319
0.01440
−0.93001
−0.88042
−0.54686
0.82180
0.77952
σmin,c
(μas)
σmaj,c
(μas)
σR.A.,c
(μas)
σDecl.,c
(μas)
43.0
35.9
37.1
52.8
58.7
38.2
48.7
40.2
39.5
53.4
51.7
55.1
73.1
49.7
75.1
100.9
43.1
68.8
81.6
58.1
54.8
39.0
37.2
46.4
86.4
50.3
85.1
121.4
45.4
65.0
50.6
59.0
36.0
36.9
38.1
42.3
37.4
39.4
35.5
35.4
35.8
35.2
39.1
37.8
36.0
256.6
167.5
184.6
383.9
540.4
147.8
214.6
194.1
209.6
449.5
298.2
343.5
237.4
159.8
298.0
450.2
153.1
190.8
199.5
209.3
276.5
151.8
145.4
185.8
1066.5
282.4
585.1
1084.7
248.0
409.8
407.4
505.0
213.6
284.4
353.4
1217.7
250.8
544.9
208.4
194.7
258.5
157.4
227.7
413.0
262.2
239.2
159.0
178.5
374.4
522.2
144.8
213.6
193.6
209.2
439.2
293.5
341.4
234.4
159.0
295.7
444.7
143.2
187.8
192.8
209.3
275.5
150.5
142.3
185.0
1056.0
278.3
577.0
1010.5
227.6
406.8
405.5
504.9
209.0
282.8
353.3
1205.9
250.8
542.8
208.0
194.7
256.8
156.2
226.9
412.0
261.7
102.3
63.6
59.9
100.0
151.1
48.5
52.9
42.7
41.5
109.7
73.8
67.0
82.2
52.1
83.8
122.7
69.1
76.7
96.3
58.2
59.5
43.7
47.5
49.4
172.6
69.6
128.9
412.4
108.5
81.9
63.8
59.1
57.1
47.5
38.7
174.8
37.7
62.5
37.4
35.4
46.5
40.5
43.4
47.5
39.5
2
σR.A.,decl.,c
σR.A.,c σdecl.,c
N
LDC
Align
Rate
(Hz)
Outlier
−0.89287
−0.80445
−0.76789
−0.84074
−0.91561
−0.59512
0.38255
−0.32930
0.30565
−0.86725
−0.70267
−0.56116
−0.43325
−0.28216
−0.42720
0.55393
0.74620
0.41002
0.48054
−0.05736
−0.38062
−0.43914
−0.60155
−0.33542
−0.86267
−0.67968
−0.74313
0.94875
0.89012
0.60174
0.60562
−0.04122
−0.76462
−0.62588
−0.16710
−0.96972
−0.10458
−0.77411
0.31481
0.00371
−0.63204
−0.48032
−0.42709
0.60250
0.40471
1371
2556
1566
1079
616
3064
814
2139
2697
971
653
789
540
748
324
197
2283
916
750
612
455
1889
3500
731
1180
616
599
219
1399
302
457
361
895
916
877
247
394
600
2341
2382
2942
4950
789
898
1715
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
50
50 & 100
50
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
50
50
100
100
50
50
50
50
50
50
50
50
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
Vol. 140
δR.A.
(mas)
MUTERSPAUGH ET AL.
76943
76943
76943
77327
77327
77327
77327
77327
77327
77327
77327
77327
77327
77327
77327
77327
77327
77327
77327
77327
77327
77327
77327
77327
77327
77327
77327
77327
77327
77327
77327
77327
77327
77327
77327
77327
77327
77327
77327
77327
77327
77327
77327
77327
77327
HJD
2400000.5
HJD
2400000.5
δR.A.
(mas)
δDecl.
(mas)
σmin
(μas)
σmaj
(μas)
φe
(deg)
σR.A.
(μas)
σDecl.
(μas)
77327
77327
77327
77327
77327
79096
79096
81858
81858
81858
81858
81858
81858
81858
81858
81858
81858
81858
81858
90537
90537
90537
90537
90537
90537
90537
90537
90537
114378
114378
114378
114378
114378
114378
114378
114378
114378
114378
114378
114378
114378
114378
114378
114378
114378
54237.17798
54454.51102
54502.41055
54538.28712
54544.28725
54056.53627
54075.43903
53467.16912
53705.49000
53746.41422
54061.55491
54063.55814
54083.48145
54090.48497
54138.34899
54425.54595
54426.56538
54526.25977
54529.24852
53474.19167
53494.18377
53732.54966
53746.45718
53780.35698
53789.33201
53790.34191
54201.28297
54217.26207
53034.46586
53109.37898
53123.26130
53131.27830
53145.18418
53466.31699
53467.28332
53473.31290
53494.26544
53753.46614
53777.43726
53779.45201
53790.38787
53832.30416
53874.20324
53895.19690
54196.35212
−190.3349
−200.4767
−204.0323
−205.6761
−205.8363
0.2350
−15.0197
657.2324
667.1219
668.7535
680.2136
681.5987
681.1639
681.5160
683.4584
694.1319
693.3936
696.7234
696.8410
−248.2523
−243.6561
−280.0714
−278.8953
−269.8591
−271.4384
−271.6737
−302.9398
−304.0353
75.1692
78.8911
79.5777
81.3717
80.9790
94.9611
94.6993
95.8321
96.5771
107.0280
107.3061
107.7889
107.7252
109.5871
111.2474
111.8346
121.5222
98.7236
99.2497
99.4837
99.5105
99.4961
49.9778
53.2484
−60.1448
−75.1289
−77.5370
−95.9792
−96.5756
−97.3074
−97.7666
−100.9094
−118.0261
−117.6748
−123.7262
−123.9198
−281.1256
−292.1790
−306.5021
−305.0878
−314.5219
−315.2977
−315.4991
−340.5600
−341.4965
344.7686
361.2198
364.3108
366.6307
368.8005
435.0800
435.3575
436.1674
440.3152
488.4115
492.9796
493.0071
495.0434
502.1805
509.1821
512.6873
558.2313
19.8
33.8
30.9
4.9
8.2
27.6
22.3
25.7
25.6
20.0
10.1
29.5
17.1
24.3
31.2
31.2
27.6
13.7
20.2
15.5
8.3
25.5
17.7
14.2
18.5
10.6
26.4
14.8
12.7
13.9
16.6
28.3
13.1
7.1
25.9
17.2
8.4
23.3
6.8
20.0
27.9
29.6
10.3
20.5
18.8
921.7
2453.1
831.4
50.3
95.6
312.7
350.3
433.9
186.3
194.3
193.6
574.6
130.8
659.0
537.2
325.1
635.2
252.0
311.0
96.8
83.3
170.0
117.9
161.9
346.2
233.9
515.6
319.5
304.2
291.6
424.6
1269.6
378.8
208.4
370.5
609.2
154.3
2917.1
199.4
214.4
535.5
643.7
144.1
333.0
87.9
9.21
171.18
177.59
171.51
175.75
157.07
147.35
155.97
157.18
157.92
159.13
160.99
154.57
160.67
158.58
156.94
161.30
153.11
151.96
35.60
167.45
169.62
160.65
157.59
27.99
31.61
175.95
1.04
149.79
173.75
156.62
35.71
153.39
155.35
150.67
158.06
160.79
145.75
150.50
154.51
18.70
153.23
155.99
167.66
165.19
909.8
2424.1
830.7
49.8
95.4
288.2
295.2
396.4
172.0
180.2
181.0
543.3
118.4
621.9
500.2
299.3
601.7
224.8
274.6
79.2
81.4
167.3
111.4
149.8
305.9
199.3
514.3
319.4
263.0
289.8
389.8
1031.0
338.8
189.4
323.3
565.1
145.7
2411.3
173.6
193.7
507.3
574.8
131.7
325.3
85.1
148.8
377.6
46.6
8.9
10.8
124.5
189.9
178.3
76.0
75.4
69.6
189.3
58.2
219.3
198.3
130.5
205.3
114.6
147.3
57.7
19.8
39.6
42.5
63.1
163.3
122.9
44.9
15.9
153.5
34.6
169.2
741.3
170.1
87.1
182.9
228.1
51.4
1641.9
98.3
94.0
173.7
291.2
59.4
74.0
28.9
2
σR.A.,decl.
σR.A. σdecl.
0.99091
−0.99588
−0.74872
−0.82745
−0.64870
−0.97070
−0.99025
−0.98749
−0.93123
−0.95801
−0.98791
−0.98630
−0.94606
−0.99309
−0.98562
−0.96579
−0.98989
−0.99099
−0.98781
0.94492
−0.90263
−0.75545
−0.89713
−0.96977
0.99177
0.99484
−0.80805
0.36270
−0.99543
−0.91458
−0.99428
0.99890
−0.99627
−0.99598
−0.98673
−0.99669
−0.98487
−0.99985
−0.99682
−0.97185
0.98557
−0.99349
−0.98187
−0.95880
−0.74147
σmin,c
(μas)
σmaj,c
(μas)
σR.A.,c
(μas)
σDecl.,c
(μas)
40.2
48.7
46.7
35.3
35.9
44.6
41.5
103.7
103.4
83.7
36.4
45.8
39.0
42.6
46.9
123.6
110.6
37.6
40.4
68.5
47.1
103.0
75.8
64.3
78.5
53.4
43.8
38.0
59.6
63.4
72.1
113.1
60.9
44.2
104.5
74.1
47.4
95.2
43.5
83.7
111.6
117.8
52.5
85.4
39.7
1206.4
3192.1
1089.8
154.5
187.2
429.9
476.4
581.2
279.7
288.8
288.0
760.0
220.3
868.1
712.3
445.2
837.5
356.3
427.9
188.2
177.0
261.6
207.6
252.8
471.3
334.8
684.7
438.3
419.5
404.1
569.5
1656.4
512.0
305.0
501.6
804.2
244.6
3794.8
294.6
311.9
710.1
848.4
233.9
455.0
180.7
1190.8
3154.4
1088.9
152.9
186.7
396.3
401.8
532.5
260.9
269.5
269.4
718.7
199.6
819.3
663.3
412.5
794.1
318.2
378.1
158.2
173.1
258.0
197.5
235.0
417.8
286.5
683.0
438.2
363.8
401.8
523.5
1346.6
458.5
277.8
440.3
746.5
231.5
3137.2
257.3
283.8
673.6
759.4
214.7
444.8
175.0
197.1
491.8
65.4
41.7
38.4
172.5
259.4
254.9
144.4
133.4
108.1
251.3
100.9
290.1
263.8
208.2
288.2
164.6
204.3
122.9
60.0
111.8
99.2
113.2
231.8
181.2
65.2
38.8
217.3
76.8
235.5
971.2
235.7
133.4
262.0
308.3
92.1
2137.2
149.9
154.0
251.0
396.4
106.6
128.1
60.1
2
σR.A.,decl.,c
σR.A.,c σdecl.,c
N
LDC
Align
0.97841
−0.99498
−0.69953
−0.51765
−0.34757
−0.95990
−0.98184
−0.89595
−0.64102
−0.74035
−0.93286
−0.98128
−0.90476
−0.98782
−0.98161
−0.76767
−0.91450
−0.96676
−0.97462
0.74834
−0.59501
−0.35541
−0.59573
−0.79160
0.92411
0.93895
−0.73868
0.20340
−0.94862
−0.55845
−0.94284
0.98969
−0.95755
−0.93150
−0.89092
−0.96585
−0.83939
−0.99855
−0.94320
−0.80226
0.88326
−0.94325
−0.84376
−0.73157
−0.73052
345
318
351
2140
1602
345
272
421
498
542
1306
713
1257
324
426
856
672
1439
1388
3391
2396
3390
2069
2692
3785
4970
871
1688
1098
360
340
456
401
927
108
289
688
390
946
160
276
129
884
317
478
1
1
1
1
1
1
1
0
0
0
1
1
1
1
1
0
0
1
1
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
Rate
(Hz)
50
50
50
100
50
50
50
100
100
100
100
50
50
100
50
50
50
50
50
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
50
Outlier
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
THE PHASES DIFFERENTIAL ASTROMETRY DATA ARCHIVE. I.
HD
Number
No. 6, 2010
Table 4
(Continued)
1601
1602
Table 4
(Continued)
δR.A.
(mas)
δDecl.
(mas)
σmin
(μas)
σmaj
(μas)
φe
(deg)
σR.A.
(μas)
σDecl.
(μas)
114378
114378
114378
114378
114378
114378
114378
129132
129246
129246
129246
129246
129246
129246
129246
129246
129246
129246
129246
129246
129246
129246
129246
129246
129246
137107
137107
137107
137107
137107
137107
137107
137107
137107
137107
137107
137107
137107
137107
137107
137107
137107
137107
137107
137107
54230.18384
54236.23439
54245.19316
54273.21611
54503.48823
54524.42212
54525.39148
54175.38093
53467.34466
53495.31448
53746.57095
53775.51962
53779.46998
53790.42751
53865.22737
53874.23660
53915.20514
53929.19040
53930.19601
54196.38310
54229.25332
54231.24985
54236.30029
54252.31015
54544.40795
53109.32634
53110.37376
53123.30637
53145.28003
53168.30554
53172.29417
53181.19635
53182.18871
53199.23352
53466.40129
53473.42045
53481.36211
53508.34722
53552.22505
53586.18646
53777.55293
53789.50370
53838.38366
53858.35734
53873.30193
121.4432
123.8259
122.9457
124.4797
128.3515
130.3603
129.7856
47.8813
−608.9232
−594.5117
−583.5150
−581.6762
−582.0267
−579.2605
−576.7113
−577.5548
−575.6900
−575.5811
−573.8361
−562.3833
−560.6448
−560.5548
−559.8066
−559.7136
−545.2344
531.1642
531.1031
529.9131
526.5734
523.4366
522.8037
521.2515
521.3702
519.9659
480.0686
478.5369
476.7500
473.2721
466.1191
459.4907
428.7597
426.9384
418.4371
414.3501
412.1842
563.5820
563.4369
564.8337
568.6072
595.4148
596.9057
597.3709
26.7291
322.0589
312.5408
302.9204
301.1655
301.4209
301.0463
296.8973
297.2315
295.4207
295.0325
294.7560
283.7157
282.2014
282.1606
281.7239
281.2778
268.7590
−89.1492
−89.5071
−93.3526
−99.0990
−105.1787
−106.1552
−108.5494
−108.9539
−113.5036
−185.3656
−187.0777
−189.9505
−196.3472
−207.9214
−216.7858
−266.5016
−269.7364
−282.1850
−287.0404
−290.9649
15.0
4.5
16.1
25.0
25.8
11.6
12.2
30.6
23.3
29.4
18.1
18.1
11.5
26.9
22.2
23.2
6.5
25.7
20.3
8.8
10.9
9.7
4.8
16.7
6.7
15.3
10.2
7.3
16.4
10.1
5.2
5.8
8.1
12.4
4.9
13.8
20.4
17.7
4.6
22.6
11.1
12.3
9.7
26.1
24.6
934.8
26.9
146.5
1968.5
477.3
391.2
150.4
1082.3
273.1
2687.1
654.1
130.6
273.7
543.9
1648.0
266.4
265.9
860.8
1199.8
56.8
84.8
64.4
78.4
311.7
49.4
876.0
280.7
214.7
319.8
403.7
90.8
179.4
208.5
507.7
26.6
131.0
766.1
549.5
80.4
607.1
227.5
85.2
121.5
366.1
310.9
148.46
159.38
156.84
0.64
157.82
155.95
151.14
146.96
149.40
157.23
148.56
154.18
147.06
13.05
145.48
150.60
166.73
172.99
174.81
157.83
147.87
149.61
160.75
172.97
151.70
145.87
154.52
148.93
155.46
173.33
174.05
158.19
156.63
176.77
155.85
163.22
25.41
167.15
166.75
0.14
155.96
26.36
154.68
160.61
158.28
796.7
25.2
134.9
1968.4
442.1
357.3
131.9
907.4
235.4
2477.7
558.2
117.9
229.8
529.9
1357.9
232.4
258.8
854.4
1194.9
52.7
72.1
55.8
74.0
309.3
43.6
725.2
253.4
183.9
291.0
400.9
90.3
166.6
191.4
506.9
24.4
125.5
692.0
535.8
78.2
607.1
207.8
76.6
109.9
345.4
288.9
489.1
10.4
59.5
33.3
181.7
159.8
73.4
590.7
140.5
1040.3
341.5
59.2
149.1
125.6
934.0
132.3
61.3
108.2
110.3
22.9
46.1
33.6
26.2
41.6
24.1
491.6
121.1
111.0
133.6
48.0
10.7
66.9
83.0
31.2
11.8
40.1
329.3
123.4
19.0
22.7
93.2
39.4
52.7
124.0
117.3
2
σR.A.,decl.
σR.A. σdecl.
−0.99935
−0.88735
−0.95582
0.65775
−0.98815
−0.99685
−0.98190
−0.99808
−0.98135
−0.99953
−0.99807
−0.94088
−0.99574
0.97549
−0.99958
−0.97967
−0.99410
−0.97083
−0.98285
−0.91043
−0.96040
−0.94290
−0.98100
−0.91488
−0.94938
−0.99929
−0.99565
−0.99701
−0.99090
−0.97727
−0.87251
−0.99567
−0.99432
−0.91759
−0.89233
−0.93290
0.99765
−0.98908
−0.96812
0.06354
−0.99144
0.93727
−0.97913
−0.97483
−0.97418
σmin,c
(μas)
σmaj,c
(μas)
σR.A.,c
(μas)
σDecl.,c
(μas)
38.1
35.3
38.5
43.0
43.5
36.9
37.1
46.5
95.2
117.1
77.2
77.2
56.0
108.0
91.3
94.9
42.8
43.4
84.7
36.1
36.7
36.3
35.3
38.8
35.6
67.9
52.2
44.7
71.5
51.9
40.2
41.4
46.6
58.7
39.6
63.0
85.1
75.8
39.1
92.7
54.8
58.4
50.8
105.2
99.8
1223.3
144.3
236.4
2562.9
636.1
527.5
240.5
1413.9
381.6
3496.0
861.8
220.1
382.4
720.8
2147.0
373.5
372.9
1127.8
1566.0
158.3
178.2
163.1
173.2
428.7
154.0
1147.4
390.8
312.3
438.7
543.2
183.1
272.0
305.1
674.7
144.2
220.5
1005.7
727.9
174.7
801.6
327.2
178.5
211.1
496.1
427.7
1042.8
135.6
217.8
2562.7
589.2
481.9
211.4
1185.6
332.0
3223.9
736.4
200.9
322.3
702.6
1769.7
328.8
363.1
1119.3
1559.6
147.2
152.2
141.9
163.9
425.5
136.7
950.5
353.5
268.4
400.2
539.5
182.2
253.0
280.7
673.6
132.6
211.9
909.2
709.9
170.3
801.5
299.7
162.0
192.0
469.3
399.1
640.7
60.6
99.5
51.7
243.5
217.6
120.5
771.9
210.8
1357.4
454.3
118.4
213.2
193.8
1219.0
201.1
95.2
144.2
164.9
68.4
99.7
88.3
66.1
65.1
79.5
646.2
174.6
165.6
193.5
81.5
44.3
108.1
128.4
69.9
69.2
87.7
438.3
178.0
55.3
92.8
142.4
95.0
101.3
192.3
183.5
2
σR.A.,decl.,c
σR.A.,c σdecl.,c
N
LDC
Align
−0.99757
−0.78502
−0.90744
0.55393
−0.98124
−0.98265
−0.93679
−0.99742
−0.85478
−0.99562
−0.98004
−0.70010
−0.95022
0.82034
−0.99586
−0.84432
−0.88685
−0.95288
−0.85666
−0.82375
−0.90259
−0.88107
−0.82543
−0.79968
−0.86293
−0.99193
−0.94376
−0.94954
−0.91430
−0.76699
−0.40817
−0.91149
−0.91880
−0.54009
−0.78216
−0.66377
0.97669
−0.89953
−0.68736
0.02083
−0.90737
0.73568
−0.83411
−0.81583
−0.81235
877
2979
621
226
592
947
966
994
377
216
427
270
387
203
166
91
1471
233
466
1843
1458
2125
3432
831
3033
624
1113
2085
615
866
1305
1570
1302
724
2764
542
277
310
2573
224
603
505
960
116
178
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
1
0
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
Rate
(Hz)
50
50
50
50
50
50
50
50
100
100
100
100
100
100
100
100
100
50
50
50
50
50
50
50
50
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
Outlier
0
2
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
Vol. 140
HJD
2400000.5
MUTERSPAUGH ET AL.
HD
Number
HJD
2400000.5
δR.A.
(mas)
δDecl.
(mas)
σmin
(μas)
σmaj
(μas)
φe
(deg)
σR.A.
(μas)
σDecl.
(μas)
137107
137107
137107
137107
137107
137107
137107
137107
137107
137107
137107
137107
137107
137107
137107
137107
137107
137107
137107
137107
137107
137107
137107
137107
137107
137107
137107
137107
137107
137107
137107
137391
137391
137391
137391
137391
137391
137391
137391
137391
137391
137391
137391
137391
137391
53894.25519
53895.28364
53915.24189
53921.21028
53922.19931
53929.21811
53930.21680
54173.43915
54175.43150
54194.37929
54216.31478
54222.37677
54229.26040
54230.28549
54231.27738
54236.27062
54238.28216
54245.21340
54250.23538
54266.21481
54272.23057
54273.26744
54279.21881
54280.20686
54524.47585
54529.45024
54544.45168
54627.23049
54629.29341
54643.20045
54653.20544
53131.33397
53173.23068
53207.19820
53467.39933
53473.42909
53481.31896
53494.36541
53495.29445
53508.36719
53790.50296
54173.51167
54215.42046
54217.39168
54222.44236
408.3143
409.1704
404.9289
402.7064
403.0928
403.7722
402.1173
356.7275
356.4653
352.9816
348.8051
347.3641
346.2828
346.1827
345.7634
344.7011
343.8738
342.7419
341.8321
338.7509
337.7686
337.4026
336.2489
335.9651
286.5216
285.2266
282.3985
264.4019
264.1297
262.0685
258.8288
−111.6255
−105.2831
−101.9431
−38.8819
−36.6327
−33.8170
−29.3083
−28.4886
−24.0911
62.2247
−57.7890
−71.1760
−71.4893
−72.5317
−296.1528
−296.7199
−301.6093
−302.8913
−303.1740
−305.4077
−305.3839
−365.0582
−365.5890
−370.1861
−375.4462
−376.7105
−378.5544
−378.8516
−378.9567
−380.0427
−380.3467
−381.9826
−383.2984
−387.0380
−388.5211
−388.7903
−390.1061
−390.3342
−445.8906
−446.7797
−450.1820
−467.7278
−468.1424
−471.4366
−473.2275
23.7186
14.4002
4.8693
−60.0783
−61.1809
−62.4318
−64.5999
−65.0610
−66.7096
−37.8414
80.3098
78.9631
78.7647
78.4764
7.2
23.4
7.9
9.6
9.1
14.4
11.9
12.5
5.3
21.2
35.3
23.4
9.6
9.8
8.7
4.9
19.8
17.5
19.6
23.8
12.2
12.7
15.1
14.8
20.4
23.7
23.9
7.4
18.5
34.5
16.8
26.4
5.1
13.9
9.8
9.1
4.4
3.9
18.6
15.0
15.8
7.6
6.5
5.4
14.6
74.8
419.8
93.3
623.6
258.3
619.4
400.4
101.1
147.4
141.3
349.1
208.4
240.5
101.8
121.5
37.2
177.1
127.8
114.8
111.2
153.8
344.5
137.7
158.9
216.4
221.8
241.4
83.8
127.7
766.1
153.1
1609.9
111.4
967.8
58.2
72.0
50.4
34.7
923.3
91.1
75.5
43.5
58.8
94.4
476.8
160.73
166.29
168.46
166.23
164.14
173.02
173.32
151.00
149.89
153.57
150.26
164.45
145.70
152.18
151.31
151.41
153.66
146.82
157.74
158.79
162.01
170.30
162.78
161.97
151.08
149.55
155.39
155.20
172.48
159.00
166.25
28.08
31.21
42.15
155.86
165.12
15.51
161.25
149.21
171.27
22.03
162.74
168.93
163.41
178.47
70.6
407.9
91.4
605.7
248.5
614.8
397.6
88.6
127.5
126.9
303.6
200.9
198.7
90.2
106.7
32.7
158.9
107.4
106.5
104.0
146.4
339.6
131.6
151.2
189.7
191.6
219.7
76.2
126.6
715.3
148.8
1420.5
95.3
717.6
53.3
69.6
48.6
32.9
793.3
90.1
70.3
41.6
57.7
90.5
476.6
25.6
102.1
20.2
148.8
71.1
76.6
48.1
50.2
74.1
65.7
175.9
60.2
135.7
48.3
58.8
18.3
80.5
71.5
47.1
45.9
48.9
59.4
43.2
51.2
106.1
114.2
102.9
35.8
24.8
276.5
39.9
758.1
57.9
649.5
25.4
20.5
14.1
11.7
472.8
20.2
31.9
14.8
13.0
27.4
19.4
2
σR.A.,decl.
σR.A. σdecl.
−0.95457
−0.97171
−0.91757
−0.99777
−0.99106
−0.98190
−0.96867
−0.95881
−0.99663
−0.93305
−0.97306
−0.91539
−0.99632
−0.97366
−0.98565
−0.95174
−0.96178
−0.95684
−0.89401
−0.83318
−0.96490
−0.97616
−0.93069
−0.95270
−0.97560
−0.97065
−0.96690
−0.97369
−0.66005
−0.99102
−0.90105
0.99922
0.99463
0.99958
−0.90755
−0.88881
0.94585
−0.93582
−0.99895
−0.66460
0.84562
−0.84403
−0.85973
−0.97880
−0.65658
σmin,c
(μas)
σmaj,c
(μas)
σR.A.,c
(μas)
σDecl.,c
(μas)
44.4
95.6
46.1
50.6
49.2
37.8
57.2
37.2
35.4
40.9
49.7
42.1
36.3
36.3
36.1
35.3
40.2
39.1
40.1
42.3
37.1
37.2
38.1
38.0
40.5
42.3
42.4
35.8
39.6
49.1
38.8
106.3
40.0
63.4
51.1
49.2
38.8
38.0
78.9
66.9
69.5
35.8
35.6
35.4
37.9
170.5
563.4
185.2
822.7
363.8
817.3
539.0
192.0
237.3
231.0
474.9
305.0
342.6
192.6
211.1
148.1
269.5
217.3
204.6
201.2
244.1
469.2
227.3
249.5
314.2
320.5
343.6
177.4
217.2
1005.7
243.3
2097.5
201.4
1265.9
159.1
168.4
154.6
147.1
1208.4
183.4
171.0
151.0
159.5
186.2
635.5
161.6
547.8
181.7
799.1
350.2
811.3
535.4
168.9
206.1
207.6
413.1
294.0
283.7
171.2
186.0
131.2
242.1
183.1
190.0
188.2
232.4
462.6
217.4
237.6
275.7
277.1
312.9
161.7
215.4
939.1
236.5
1851.3
173.5
939.5
146.7
163.2
149.3
139.8
1038.9
181.5
160.6
144.6
156.7
178.7
635.2
70.2
162.6
58.4
201.9
110.1
106.2
84.6
98.6
122.9
109.1
239.5
91.3
195.4
95.5
106.2
77.4
124.9
123.3
85.9
82.8
83.2
87.2
76.5
85.3
156.0
166.5
148.2
81.2
48.5
363.3
69.0
991.8
109.8
850.8
80.1
64.3
55.7
59.4
622.3
71.7
90.9
56.4
46.5
63.1
41.5
2
σR.A.,decl.,c
σR.A.,c σdecl.,c
N
LDC
Align
−0.74420
−0.79676
−0.59411
−0.96620
−0.88575
−0.93331
−0.73276
−0.90356
−0.94340
−0.90886
−0.97112
−0.87808
−0.97452
−0.90364
−0.92266
−0.85669
−0.93358
−0.92642
−0.86446
−0.83751
−0.88388
−0.90124
−0.85357
−0.88369
−0.95523
−0.95591
−0.94941
−0.87545
−0.56685
−0.98945
−0.81573
0.99261
0.90622
0.99495
−0.72158
−0.61355
0.69334
−0.73972
−0.98907
−0.33585
0.58114
−0.74808
−0.62578
−0.81105
−0.40706
1134
169
807
1083
1350
335
839
1180
2730
583
413
139
1489
1720
1801
2692
293
600
524
402
849
599
561
611
269
304
236
1696
228
62
207
322
2278
993
1002
862
3500
3325
367
402
420
2324
2493
1534
426
0
0
0
0
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
1
1
1
1
Rate
(Hz)
100
100
100
50
50
50
50
50
50
50
50
100
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
100
100
100
100
100
100
100
100
100
100
50
50
100
100
Outlier
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
THE PHASES DIFFERENTIAL ASTROMETRY DATA ARCHIVE. I.
HD
Number
No. 6, 2010
Table 4
(Continued)
1603
1604
Table 4
(Continued)
δR.A.
(mas)
δDecl.
(mas)
σmin
(μas)
σmaj
(μas)
φe
(deg)
σR.A.
(μas)
σDecl.
(μas)
137391
137391
137391
137391
137391
137391
137391
137391
137391
137909
137909
137909
137909
137909
137909
137909
137909
137909
137909
137909
137909
137909
137909
137909
137909
137909
137909
137909
137909
137909
137909
137909
137909
137909
137909
137909
137909
137909
137909
137909
137909
137909
137909
137909
137909
54237.34357
54250.33246
54265.29221
54273.26986
54280.24357
54285.27988
54300.23692
54628.22039
54630.20547
53034.51366
53109.41620
53110.33506
53116.44145
53123.35186
53131.35817
53137.25597
53144.25226
53145.25716
53168.22207
53172.32119
53173.27098
53181.26233
53182.26133
53187.23910
53198.21815
53199.21988
53208.19574
53214.19010
53228.16998
53467.43736
53473.39997
53474.37831
53487.43377
53494.32489
53495.27147
53508.37081
53509.37190
53550.22220
53552.22051
53571.22733
53585.20008
53747.57361
53748.56579
53755.57238
53769.54876
−77.2901
−80.8381
−84.3822
−86.4135
−87.9096
−89.3442
−92.1669
−93.8692
−93.1860
53.5645
66.9564
68.4221
68.9445
69.0323
72.1608
71.0095
72.3729
72.6629
76.1372
76.7569
76.2659
78.2354
78.4083
79.1434
80.7524
80.8510
81.3807
82.8394
84.8381
116.5069
117.0549
116.7379
118.9563
119.5240
117.5046
120.8718
120.5678
126.2598
126.0813
128.1939
129.7290
145.7598
145.8894
146.9995
147.4389
77.3107
76.1257
74.4217
73.5150
72.5765
71.9258
69.7310
−9.7530
−10.5046
−194.5843
−209.5610
−210.5182
−210.9433
−211.8662
−212.0850
−214.0018
−215.2859
−215.5332
−219.1702
−219.7537
−220.1791
−221.1312
−221.2440
−222.0794
−223.6743
−223.8461
−225.4354
−225.9509
−227.8406
−254.1639
−254.6189
−254.8786
−255.3060
−256.2291
−254.8422
−257.3319
−257.3634
−260.2868
−260.2757
−261.4554
−262.1885
−268.5562
−268.3788
−269.0019
−268.6635
11.9
5.1
10.0
2.6
4.6
4.6
4.5
9.2
4.7
23.8
7.1
27.4
15.9
10.4
25.4
20.8
18.8
14.1
11.7
10.8
12.8
7.6
8.5
18.9
4.2
7.4
4.4
7.7
8.4
15.0
9.1
24.4
35.3
4.5
26.4
16.6
24.4
20.0
6.1
5.1
8.4
24.5
21.1
19.9
22.2
144.1
22.2
166.7
21.0
41.1
131.5
111.7
230.9
111.4
1438.6
163.8
1240.9
360.4
277.1
1113.7
164.9
591.4
62.5
101.5
439.1
473.9
53.8
62.3
161.2
36.5
43.5
98.4
107.2
243.2
92.7
42.9
262.9
3552.5
37.1
2313.6
491.2
1039.8
294.2
67.4
92.0
168.2
642.3
334.9
443.1
338.7
164.32
169.86
170.40
168.88
169.30
0.79
0.54
155.39
153.12
143.37
161.51
146.99
171.28
156.18
32.39
148.57
149.75
154.89
154.17
178.90
37.09
170.61
169.83
170.72
172.04
169.45
40.49
176.79
0.01
162.71
160.51
24.46
40.93
153.62
145.58
171.53
172.70
162.93
163.60
178.85
1.29
145.69
11.49
148.55
150.13
138.8
21.8
164.3
20.6
40.4
131.5
111.7
210.0
99.4
1154.5
155.4
1040.7
356.2
253.5
940.5
141.1
511.0
56.9
91.5
439.0
378.1
53.0
61.3
159.1
36.1
42.7
74.9
107.0
243.2
88.6
40.6
239.5
2684.1
33.3
1908.6
485.9
1031.4
281.3
64.7
92.0
168.1
530.7
328.2
378.2
293.9
40.6
6.3
29.5
4.8
8.9
5.0
4.6
96.5
50.5
858.6
52.4
676.4
56.9
112.3
596.9
87.8
298.4
29.4
45.5
13.7
285.9
11.5
13.8
32.0
6.6
10.7
64.0
9.7
8.4
31.1
16.7
111.1
2327.5
17.0
1307.9
74.2
134.3
88.5
19.9
5.4
9.3
362.6
69.8
231.8
169.7
2
σR.A.,decl.
σR.A. σdecl.
−0.95244
−0.58246
−0.93922
−0.82956
−0.85006
0.36354
0.22779
−0.99448
−0.99446
−0.99940
−0.98960
−0.99883
−0.95913
−0.99486
0.99873
−0.96110
−0.99733
−0.85085
−0.95813
−0.61406
0.99842
−0.74656
−0.78226
−0.80182
−0.75801
−0.71852
0.99582
−0.61289
0.00464
−0.86317
−0.81754
0.97044
0.99980
−0.95559
−0.99970
−0.97412
−0.98314
−0.97152
−0.94827
−0.34165
0.40776
−0.99664
0.95125
−0.99492
−0.98856
σmin,c
(μas)
σmaj,c
(μas)
σR.A.,c
(μas)
σDecl.,c
(μas)
37.0
35.4
36.4
35.1
35.3
35.3
35.3
36.2
35.3
97.0
44.2
109.8
69.8
52.8
102.7
86.4
79.6
64.0
56.6
53.9
59.9
45.4
47.6
79.9
38.5
44.9
38.8
45.6
47.4
66.9
49.2
99.1
138.6
39.0
106.3
72.1
99.1
83.7
42.0
40.0
47.4
99.5
87.5
83.3
91.3
233.9
142.9
258.0
142.6
149.8
221.0
201.7
331.2
201.4
1875.4
254.8
1619.2
489.0
386.5
1454.6
256.0
781.5
161.9
192.4
587.7
631.8
156.5
161.7
252.0
147.8
151.0
189.6
197.5
345.8
184.7
150.7
369.3
4620.4
148.1
3010.9
653.7
1359.0
407.3
165.2
184.1
259.6
846.6
457.3
592.8
462.0
225.4
140.8
254.5
140.1
147.4
220.9
201.7
301.5
180.4
1506.1
242.1
1359.2
483.5
354.2
1229.5
223.1
676.2
149.1
174.9
587.6
505.3
154.6
159.4
249.1
146.5
148.7
146.4
197.2
345.8
177.5
143.0
338.7
3491.9
133.8
2484.5
646.7
1348.0
390.1
158.9
184.1
259.6
701.6
448.5
507.6
403.2
72.5
43.0
56.0
44.1
44.5
35.4
35.3
141.8
96.4
1121.7
91.0
886.9
101.3
163.4
784.0
152.5
399.6
89.9
98.1
55.1
384.0
51.5
54.9
88.7
43.2
52.1
126.6
46.9
47.4
84.2
68.4
177.6
3028.8
74.5
1704.2
119.8
198.7
143.8
61.6
40.2
47.7
484.2
125.1
317.4
243.4
2
σR.A.,decl.,c
σR.A.,c σdecl.,c
N
LDC
Align
−0.84874
−0.54939
−0.75241
−0.58566
−0.59038
0.08380
0.05215
−0.95990
−0.91242
−0.99419
−0.85960
−0.98906
−0.71681
−0.93579
0.98793
−0.75953
−0.97318
−0.63406
−0.77289
−0.20307
0.98078
−0.45325
−0.47449
−0.41156
−0.44099
−0.48314
0.91791
−0.22338
0.00125
−0.56285
−0.65233
0.79340
0.99816
−0.81537
−0.99714
−0.79356
−0.86438
−0.79448
−0.70596
−0.08765
0.11842
−0.96879
0.70105
−0.95182
−0.90281
859
2892
2104
7969
4123
2676
2910
3013
4586
1396
1980
923
725
1929
831
1456
1366
1572
1327
865
1082
1751
1688
665
4250
1380
7065
2591
1683
924
2205
567
524
3702
619
588
396
851
2608
3061
1479
2165
1179
876
900
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
Rate
(Hz)
50
50
50
50
50
50
50
50
50
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
Outlier
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
Vol. 140
HJD
2400000.5
MUTERSPAUGH ET AL.
HD
Number
HJD
2400000.5
137909
137909
137909
137909
137909
137909
137909
137909
137909
137909
137909
137909
137909
137909
137909
137909
137909
137909
137909
137909
137909
137909
137909
137909
137909
137909
137909
137909
137909
137909
137909
137909
137909
137909
137909
137909
137909
138629
140159
140159
140159
140159
140159
140159
140159
53774.52483
53775.53474
53778.54697
53789.51750
53817.37249
53818.39216
53838.39716
53865.31336
53874.31771
53894.27169
53895.33336
54174.51072
54196.35398
54201.42990
54215.33362
54217.33404
54222.39790
54229.33268
54237.25545
54245.26139
54250.30278
54265.27036
54266.28963
54272.26863
54287.20214
54293.24597
54299.24298
54301.23328
54481.59273
54515.53384
54546.42115
54627.28557
54628.32452
54630.29708
54643.21607
54652.20867
54653.20993
53909.23586
53110.41886
53123.41078
53181.26600
53182.26697
53199.21014
53215.18210
53221.18430
δR.A.
(mas)
147.7766
148.0964
149.1976
149.3117
152.2839
151.7108
153.2793
155.4860
156.2805
157.4676
158.1374
173.2814
173.8172
174.0685
174.7108
174.8460
175.0331
175.1202
175.3859
175.3279
175.8783
176.3798
176.3737
176.4879
177.0428
176.8140
176.9458
177.0013
179.0538
178.4511
178.6146
176.7394
176.8688
176.4618
177.3337
175.6355
175.6903
23.5841
173.2006
171.7168
167.5849
167.5830
167.6260
164.4576
164.1972
δDecl.
(mas)
σmin
(μas)
σmaj
(μas)
φe
(deg)
σR.A.
(μas)
σDecl.
(μas)
−268.7643
−268.9414
−269.3447
−269.1943
−269.7881
−269.4217
−269.4958
−269.5653
−269.5344
−269.2663
−269.3299
−259.3431
−257.7037
−257.5548
−256.5834
−256.4839
−256.1332
−255.5651
−254.9517
−254.2065
−254.0458
−252.8642
−252.6923
−252.2592
−251.1696
−250.5425
−250.0570
−249.8160
−231.1182
−226.7391
−223.0048
−211.3458
−211.1799
−210.7976
−209.2726
−207.4353
−207.3676
47.8180
54.5009
54.1016
51.3957
51.2650
50.2550
49.8117
48.9769
23.4
14.4
19.2
6.9
38.2
9.7
12.9
14.1
9.1
7.0
14.7
4.7
18.5
13.6
8.0
4.7
9.0
6.3
5.6
9.5
5.7
7.1
27.1
6.1
7.6
25.3
11.2
10.2
9.4
14.3
27.3
4.3
11.3
9.3
11.4
9.7
4.9
10.4
14.9
14.8
11.9
21.9
14.9
11.6
39.7
443.3
266.7
254.8
39.2
2074.0
96.7
146.1
62.6
60.6
77.5
199.9
37.1
140.2
81.2
93.3
56.6
60.6
52.9
55.8
285.4
27.6
64.6
182.1
44.7
91.2
198.6
266.4
234.1
316.0
138.6
179.7
26.0
105.1
88.1
485.1
236.6
126.5
412.7
420.9
297.5
248.8
584.5
602.4
242.2
2476.7
148.64
150.97
155.16
27.70
143.36
146.36
157.47
158.88
163.98
162.01
176.75
163.07
147.30
161.50
151.65
152.93
167.56
156.30
146.46
151.94
169.63
164.58
171.62
169.89
162.84
174.40
1.32
0.11
150.26
156.86
148.17
164.92
178.34
169.86
161.47
165.11
166.21
163.33
159.96
165.86
169.02
169.77
167.75
171.71
41.94
378.7
233.3
231.3
34.9
1664.4
80.7
135.1
58.6
58.3
73.8
199.5
35.5
118.4
77.1
82.2
50.5
59.2
48.5
46.6
251.9
27.2
62.3
180.2
44.0
87.1
197.6
266.3
234.1
274.4
127.6
153.4
25.1
105.1
86.7
460.0
228.7
122.9
395.3
395.4
288.5
244.2
575.2
588.6
239.6
1842.4
231.6
130.0
108.4
19.2
1238.1
54.2
57.2
26.1
18.9
24.8
18.5
11.7
77.3
28.8
44.9
26.1
15.7
22.0
31.2
134.5
7.5
18.5
37.7
9.9
27.9
31.8
12.8
10.2
157.0
56.0
97.6
7.9
11.7
18.0
154.5
61.5
30.5
118.8
144.9
74.1
48.8
106.1
128.7
36.8
1655.6
2
σR.A.,decl.
σR.A. σdecl.
−0.99301
−0.99193
−0.98079
0.91372
−0.99926
−0.97671
−0.96978
−0.81719
−0.86421
−0.95536
−0.60708
−0.90640
−0.95920
−0.86791
−0.97930
−0.97947
−0.81238
−0.95045
−0.97622
−0.99682
−0.63349
−0.91772
−0.68732
−0.78055
−0.95818
−0.59930
0.47686
0.04578
−0.99763
−0.96057
−0.94471
−0.82781
−0.25711
−0.85225
−0.99698
−0.98660
−0.98642
−0.99580
−0.99396
−0.97862
−0.96886
−0.97771
−0.99296
−0.94788
0.99948
σmin,c
(μas)
σmaj,c
(μas)
σR.A.,c
(μas)
σDecl.,c
(μas)
95.6
65.0
80.9
43.7
149.3
50.8
60.2
64.0
49.2
44.0
65.9
35.3
39.6
37.5
35.9
35.3
36.1
35.6
35.4
36.3
35.5
35.7
44.3
35.5
35.8
43.2
36.7
36.5
36.2
37.8
44.4
35.3
36.8
36.2
36.8
36.3
35.3
52.8
66.6
66.2
57.2
90.3
66.6
56.3
154.9
593.1
373.9
359.6
149.0
2699.8
188.2
236.0
161.9
160.6
172.5
295.2
148.1
229.8
175.3
185.2
158.2
160.6
156.0
157.7
396.6
144.5
163.3
275.0
151.6
183.5
293.7
373.5
335.0
434.0
228.2
272.3
144.0
195.6
180.9
646.0
337.9
216.0
554.5
564.8
411.3
352.4
772.6
795.5
344.6
3222.8
508.9
328.4
328.1
133.5
2168.2
159.2
219.2
152.8
155.0
164.6
294.7
142.0
194.6
166.7
163.9
141.7
157.1
143.5
132.9
350.4
142.3
157.7
272.2
149.4
175.6
292.3
373.4
335.0
377.3
210.3
232.6
139.4
195.5
178.2
612.6
326.7
209.9
531.4
531.1
399.2
346.2
760.5
777.6
341.1
2399.5
319.2
190.1
168.0
79.3
1615.7
112.5
106.2
83.5
64.8
67.7
67.9
54.8
128.6
66.1
93.5
78.5
49.4
70.6
92.0
189.3
43.5
55.4
59.4
43.9
64.0
51.7
37.7
36.5
217.6
96.2
148.5
50.6
37.2
47.8
208.2
93.7
61.9
166.9
203.4
119.3
87.5
163.5
180.9
74.6
2157.0
2
σR.A.,decl.,c
σR.A.,c σdecl.,c
N
LDC
Align
−0.93717
−0.92127
−0.84924
0.78833
−0.99336
−0.84538
−0.79174
−0.58304
−0.61739
−0.73303
−0.23413
−0.74045
−0.93150
−0.80157
−0.90085
−0.86506
−0.66390
−0.83713
−0.88935
−0.97620
−0.56129
−0.74465
−0.65749
−0.57171
−0.81155
−0.54273
0.22585
0.01743
−0.98147
−0.90451
−0.93674
−0.69421
−0.14696
−0.63908
−0.98247
−0.91605
−0.80910
−0.94397
−0.93748
−0.82002
−0.74656
−0.82777
−0.92642
−0.64772
0.99534
922
1067
1371
2654
437
1430
1300
664
1390
2175
670
4830
1398
1036
3722
4176
1588
2913
4092
2755
3535
3762
741
3020
3375
404
1083
1473
2048
3350
1638
5439
1529
2230
1053
2546
3666
2659
342
401
581
274
585
784
274
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
Rate
(Hz)
100
100
100
100
100
100
100
100
100
100
100
50
50
100
50
100
100
50
50
50
50
50
50
50
50
50
50
50
100
50
50
50
50
50
50
50
50
50
100
100
100
100
100
100
100
Outlier
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
THE PHASES DIFFERENTIAL ASTROMETRY DATA ARCHIVE. I.
HD
Number
No. 6, 2010
Table 4
(Continued)
1605
1606
Table 4
(Continued)
δR.A.
(mas)
δDecl.
(mas)
σmin
(μas)
140159
140159
140159
140159
140159
140159
140159
140159
140436
140436
140436
140436
140436
140436
140436
140436
140436
140436
140436
140436
140436
140436
140436
140436
140436
140436
140436
140436
140436
140436
140436
140436
140436
140436
140436
140436
140436
140436
140436
140436
140436
140436
140436
140436
140436
53551.26199
54524.53447
54529.52522
54630.26695
54635.30502
54636.28083
54657.19365
54671.21541
53109.45226
53110.45365
53145.33169
53168.25220
53187.22658
53199.18576
53229.18064
53466.42563
53494.34069
53777.49192
53818.41258
53858.42205
53872.26085
53916.19326
53921.23061
53922.23305
53957.17243
53965.16468
54173.49376
54194.39957
54201.38883
54215.37171
54217.34740
54229.30007
54230.32399
54231.28180
54237.28511
54238.36791
54245.24557
54250.30133
54251.30630
54272.29098
54279.25251
54285.24771
54294.23032
54300.18894
54320.17781
130.1927
−21.0858
−22.1019
−39.3695
−40.7530
−40.7402
−40.9334
−45.3294
664.3435
664.9826
664.2835
663.9125
663.4442
664.6341
664.7532
661.2097
660.4979
654.9326
655.4666
654.2191
654.0747
653.2698
652.4034
652.5061
652.0252
652.0843
672.3551
658.7929
645.6054
671.2683
658.2211
644.8058
670.5271
644.9348
645.0730
644.6951
644.9259
644.4289
644.4088
644.0494
643.5091
643.6299
641.4189
671.0123
641.9314
31.4453
−30.5862
−30.8333
−36.5049
−36.7617
−36.8224
−38.9513
−38.8512
−294.4134
−294.5821
−293.9576
−293.5786
−293.3415
−293.4290
−292.6397
−289.5648
−288.9465
−283.3120
−283.6246
−282.6916
−282.4653
−281.6721
−281.4666
−281.3333
−280.8090
−280.5933
−288.1985
−283.7464
−275.5323
−285.4691
−282.5661
−274.7562
−285.4471
−274.9056
−274.8959
−274.7607
−274.7434
−274.4704
−274.4683
−273.9947
−273.8182
−273.8924
−273.2504
−281.5017
−272.6939
7.0
12.0
12.6
9.7
11.7
25.1
23.0
21.4
7.7
6.9
12.5
10.4
14.3
7.8
20.3
7.2
6.6
27.2
13.3
21.7
24.7
5.2
9.0
16.5
8.7
12.7
31.0
19.6
23.7
23.6
9.3
11.1
25.6
10.1
14.0
16.6
21.9
7.6
18.6
15.4
8.2
11.0
20.6
23.5
24.3
σmaj
(μas)
171.2
111.8
119.7
97.6
299.2
218.0
997.2
708.5
256.9
206.7
267.8
94.5
324.4
369.0
658.6
37.5
58.1
653.9
378.4
608.1
283.9
85.2
521.8
977.7
148.9
395.2
200.7
201.9
188.2
148.8
102.8
120.0
262.1
188.8
113.1
435.9
256.2
58.6
348.3
389.7
181.0
388.3
464.1
314.5
611.5
φe
(deg)
σR.A.
(μas)
σDecl.
(μas)
171.33
157.94
159.60
160.71
173.35
167.94
162.29
176.24
166.88
167.54
161.81
160.74
164.08
162.49
0.57
160.03
154.64
143.52
148.20
171.06
147.12
155.93
167.32
168.64
176.88
0.51
153.93
150.29
151.87
159.02
151.69
150.01
150.95
147.58
150.72
168.12
147.36
166.08
162.59
171.33
167.37
170.31
172.31
165.38
176.50
169.2
103.7
112.3
92.1
297.2
213.3
950.0
707.0
250.2
201.8
254.4
89.3
312.0
351.9
658.6
35.3
52.6
526.0
321.7
600.7
238.8
77.9
509.1
958.6
148.7
395.1
180.8
175.7
166.4
139.2
90.6
104.0
229.4
159.5
98.9
426.6
216.1
56.9
332.4
385.3
176.6
382.7
459.9
304.3
610.4
26.7
43.5
43.3
33.5
36.5
51.8
304.1
51.1
58.8
45.1
84.4
32.7
90.0
111.3
21.3
14.5
25.6
389.4
199.7
96.9
155.5
35.1
114.9
193.2
11.9
13.2
92.5
101.5
91.2
57.6
49.5
60.7
129.2
101.6
56.6
91.2
139.4
15.9
105.7
60.7
40.4
66.2
65.4
82.6
44.5
2
σR.A.,decl.
σR.A. σdecl.
−0.96431
−0.95456
−0.95109
−0.95231
−0.94679
−0.86812
−0.99684
−0.90812
−0.99098
−0.98758
−0.98778
−0.94109
−0.98624
−0.99728
0.30773
−0.84895
−0.95883
−0.99622
−0.99692
−0.97404
−0.98206
−0.98660
−0.99674
−0.99620
−0.67980
0.26534
−0.92809
−0.97497
−0.95563
−0.89913
−0.97710
−0.97752
−0.97398
−0.99307
−0.95909
−0.98250
−0.98256
−0.86938
−0.98288
−0.96654
−0.97820
−0.98566
−0.94831
−0.95566
−0.83778
σmin,c
(μas)
σmaj,c
(μas)
σR.A.,c
(μas)
σDecl.,c
(μas)
44.0
37.0
37.2
36.3
36.9
43.1
41.9
41.0
45.6
43.7
59.0
52.8
64.6
45.9
84.7
44.4
43.1
109.1
61.5
89.6
100.2
40.2
48.9
71.8
36.1
37.2
46.8
40.1
42.3
42.2
36.2
36.7
43.4
36.4
37.7
38.7
41.3
35.8
39.6
38.2
35.9
36.7
40.6
42.2
98.8
262.9
201.8
209.3
188.9
413.4
316.1
1303.9
931.6
362.1
303.0
375.2
186.3
444.4
499.7
867.6
148.2
159.1
861.5
511.5
802.8
394.7
178.5
692.6
1278.7
238.9
532.5
296.1
297.5
281.9
238.8
193.5
209.6
368.4
282.6
203.0
583.7
361.3
159.4
473.9
525.6
273.8
523.8
619.4
432.2
807.2
260.0
187.5
196.6
178.7
410.6
309.2
1242.2
929.6
352.8
296.0
357.0
176.7
427.7
476.8
867.5
140.2
144.9
695.8
435.9
793.2
335.9
163.8
675.8
1253.7
238.5
532.5
266.8
259.1
249.4
223.5
171.3
182.5
322.7
239.3
178.0
571.3
305.0
154.9
452.4
519.6
267.3
516.4
613.8
418.3
805.7
58.8
83.2
80.9
71.2
60.3
78.3
398.6
73.5
93.4
78.1
129.9
79.1
136.8
156.6
85.1
65.6
78.5
519.7
274.5
153.0
230.2
81.5
159.4
261.5
38.3
37.5
136.7
151.5
138.0
94.1
97.2
109.5
182.8
154.6
104.6
126.0
197.9
51.8
146.8
87.8
69.4
95.3
92.1
116.5
110.2
2
σR.A.,decl.,c
σR.A.,c σdecl.,c
N
LDC
Align
−0.65481
−0.87804
−0.87188
−0.84221
−0.78761
−0.82713
−0.99390
−0.82914
−0.86539
−0.81936
−0.87857
−0.71076
−0.87125
−0.95171
0.10040
−0.69808
−0.79821
−0.96560
−0.96486
−0.80537
−0.85940
−0.84346
−0.94919
−0.95999
−0.33185
0.12567
−0.92518
−0.95268
−0.93818
−0.87774
−0.90697
−0.92282
−0.96266
−0.96051
−0.91165
−0.94938
−0.96901
−0.70234
−0.95914
−0.89771
−0.84756
−0.92060
−0.89564
−0.92743
−0.44047
1292
1490
1287
1493
1325
411
697
316
1682
2174
1661
1847
1244
2995
396
3806
3819
553
1530
206
257
5781
1933
899
1641
581
2559
2011
688
3407
2724
2002
3035
2478
1358
975
1135
2683
1673
755
2773
1373
783
3934
479
0
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
Rate
(Hz)
100
50
50
50
50
50
50
50
100
100
100
100
100
100
100
100
100
100
100
100
100
50
50
50
50
100
50
50
100
50
100
50
50
50
50
50
50
50
50
50
50
50
50
50
50
Outlier
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
0
2
2
0
1
0
0
0
0
0
0
0
0
0
0
2
0
Vol. 140
HJD
2400000.5
MUTERSPAUGH ET AL.
HD
Number
HJD
2400000.5
δR.A.
(mas)
δDecl.
(mas)
σmin
(μas)
σmaj
(μas)
φe
(deg)
σR.A.
(μas)
σDecl.
(μas)
140436
140436
140436
140436
140436
140436
149630
149630
149630
150680
150680
150680
150680
155103
155103
155103
155103
155103
155103
155103
155103
155103
155103
157482
157482
157482
157482
157482
157482
157482
157482
157482
157482
157482
157482
157482
157482
157482
157482
157482
157482
157482
157482
157482
157482
54525.53453
54544.48538
54627.22639
54629.25668
54670.20834
54671.19106
54279.23100
54286.26316
54292.30173
53474.47129
53481.43115
53558.24741
53572.24044
53916.26197
53958.17528
53978.18708
54174.52214
54215.49147
54252.37253
54300.28308
54315.23535
54349.15893
54670.26295
53109.48025
53110.48257
53123.45846
53130.44282
53137.43118
53144.42500
53145.39616
53168.34023
53172.35295
53173.33276
53181.33465
53182.33238
53186.30522
53187.30536
53197.26925
53198.24332
53199.29260
53208.25310
53214.24152
53215.23168
53221.22283
53228.21020
635.6122
635.0145
632.2443
631.7883
630.7171
629.5806
33.9523
34.9403
34.5264
−660.9775
−667.7688
−625.5231
−622.1670
10.0037
3.0330
0.0185
−30.8860
−36.5327
−41.0015
−44.3879
−45.0469
−46.2630
20.6203
49.6406
48.0945
49.1860
48.4777
48.3928
47.7018
48.3082
47.0275
47.3440
47.1603
46.4333
46.5646
45.6585
46.1426
46.1852
46.2937
44.0251
46.4304
45.6336
45.6364
46.2560
45.0884
−267.9561
−267.4932
−265.5922
−265.3466
−264.2290
−264.2138
93.2975
93.5250
94.1038
−688.2772
−688.7846
−722.2271
−729.4186
64.9505
65.7742
65.9289
59.4502
55.5474
50.9033
42.8265
39.8706
32.3331
−51.4981
−84.4966
−84.1334
−85.9318
−86.4134
−87.1396
−87.6613
−87.8014
−89.7513
−90.1337
−90.3599
−90.7858
−91.0137
−91.1213
−91.2225
−92.1523
−92.2555
−91.9446
−92.4901
−93.3429
−93.5172
−92.9726
−94.3310
12.2
8.0
6.1
13.2
9.1
11.4
19.0
13.2
21.1
17.5
27.4
38.2
20.1
8.6
9.0
25.2
14.0
29.2
29.8
21.4
11.3
12.2
16.5
7.3
11.9
18.1
6.6
14.0
25.1
13.7
15.0
6.3
8.0
7.5
13.9
18.2
13.0
4.8
5.7
24.7
6.6
5.5
4.8
8.8
7.2
75.4
40.1
47.6
52.6
207.4
171.2
256.5
206.7
523.5
191.7
246.5
622.1
282.1
51.9
169.5
550.8
431.2
427.7
850.3
458.5
228.7
264.3
455.7
282.5
600.3
507.8
205.8
280.2
1039.7
316.5
340.0
170.0
77.4
174.6
333.2
426.5
441.4
117.1
54.6
1645.4
181.7
125.9
110.7
342.3
100.6
159.51
161.82
151.41
164.94
173.78
170.65
154.72
166.46
178.78
35.49
26.34
33.23
38.41
157.30
164.61
179.45
152.71
167.55
164.26
174.08
172.65
176.56
172.80
158.77
159.53
162.47
162.94
164.34
167.13
161.59
162.93
168.29
33.97
169.71
169.62
166.80
166.94
164.87
160.36
171.42
37.67
169.45
167.53
38.91
169.45
70.7
38.1
41.9
50.9
206.2
168.9
232.1
201.0
523.4
156.4
221.2
520.8
221.4
48.0
163.5
550.8
383.2
417.6
818.4
456.0
226.8
263.9
452.1
263.4
562.4
484.3
196.7
269.9
1013.5
300.4
325.0
166.5
64.4
171.8
327.7
415.2
430.0
113.0
51.5
1627.0
143.9
123.8
108.1
266.4
98.9
28.8
14.6
23.4
18.7
24.2
30.0
110.9
50.1
23.8
112.2
112.1
342.4
176.0
21.6
45.8
25.8
198.1
96.5
232.5
51.8
31.3
20.0
59.4
102.5
210.3
153.9
60.7
76.8
232.9
100.8
100.8
35.1
43.8
32.1
61.6
99.0
100.6
30.9
19.1
246.7
111.1
23.7
24.3
215.1
19.7
2
σR.A.,decl.
σR.A. σdecl.
−0.89179
−0.81809
−0.95574
−0.68433
−0.92566
−0.92305
−0.98189
−0.96225
−0.46562
0.98163
0.96222
0.99106
0.98930
−0.90207
−0.97895
−0.20511
−0.99682
−0.95076
−0.99107
−0.90995
−0.93204
−0.79098
−0.96020
−0.99707
−0.99818
−0.99240
−0.99360
−0.98202
−0.99386
−0.98963
−0.98777
−0.98309
0.97548
−0.97114
−0.97328
−0.98196
−0.99110
−0.98714
−0.94837
−0.99488
0.99718
−0.97194
−0.97962
0.99860
−0.92813
σmin,c
(μas)
σmaj,c
(μas)
σR.A.,c
(μas)
σDecl.,c
(μas)
37.1
35.9
35.5
37.4
36.2
36.8
39.8
37.4
40.9
75.1
109.8
149.3
84.0
47.9
36.1
43.1
37.7
45.6
46.0
41.0
55.4
58.1
38.7
44.7
57.2
77.2
43.1
63.7
101.6
62.7
66.9
42.4
46.4
45.1
63.4
77.5
60.5
39.5
41.2
100.2
43.1
40.8
39.5
48.4
44.4
170.9
149.4
153.1
155.8
303.8
262.9
361.6
303.0
694.8
285.8
349.7
820.8
392.5
155.4
261.1
729.6
577.8
573.4
1114.2
612.3
328.6
371.0
608.7
393.0
792.8
674.8
302.0
390.2
1358.8
434.6
463.6
261.6
172.4
266.7
455.2
571.9
590.7
206.8
157.0
2143.6
274.6
215.4
200.8
466.5
191.6
160.6
142.4
135.5
150.8
302.0
259.5
327.5
294.7
694.6
236.8
317.2
691.4
312.0
144.6
251.9
729.6
513.8
560.0
1072.5
609.0
326.0
370.4
603.9
366.7
743.1
643.9
288.9
376.1
1324.9
412.8
443.7
256.3
145.3
262.5
447.9
557.0
575.5
199.9
148.5
2119.7
218.9
211.9
196.2
364.3
188.5
69.2
57.8
79.6
54.3
48.7
56.1
158.6
79.7
43.5
176.9
183.8
466.8
252.6
74.5
77.6
43.7
267.0
131.4
305.5
75.2
69.2
62.1
85.4
148.3
282.4
216.2
97.7
121.9
318.5
149.6
150.4
67.4
103.7
65.1
103.0
150.8
145.9
66.1
65.5
334.8
171.2
56.2
58.0
295.4
56.0
2
σR.A.,decl.,c
σR.A.,c σdecl.,c
N
LDC
Align
−0.82151
−0.75802
−0.86359
−0.70169
−0.66566
−0.74671
−0.96077
−0.87593
−0.33925
0.85845
0.75204
0.92510
0.90823
−0.72273
−0.87563
−0.15974
−0.98732
−0.93477
−0.98770
−0.83612
−0.59028
−0.34963
−0.88965
−0.94647
−0.97638
−0.92737
−0.88758
−0.84035
−0.94495
−0.89730
−0.88538
−0.76661
0.84781
−0.71017
−0.78052
−0.84948
−0.90482
−0.78621
−0.74717
−0.95312
0.94896
−0.67583
−0.71784
0.97773
−0.59198
2925
2986
4896
1253
1473
1154
3101
4977
1835
3147
3126
2900
1767
2254
2065
318
749
366
544
432
1242
1076
463
2011
1334
1378
2537
1226
897
1673
1409
2560
2904
2795
2014
706
1578
5218
5404
946
6558
5251
5723
3998
3180
1
1
1
1
1
1
1
1
1
0
0
0
0
0
1
1
1
1
1
1
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
0
0
0
0
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
Rate
(Hz)
50
50
50
50
50
50
50
50
50
100
100
100
100
50
50
50
50
50
50
50
50
50
50
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
Outlier
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
THE PHASES DIFFERENTIAL ASTROMETRY DATA ARCHIVE. I.
HD
Number
No. 6, 2010
Table 4
(Continued)
1607
1608
Table 4
(Continued)
δR.A.
(mas)
δDecl.
(mas)
σmin
(μas)
σmaj
(μas)
φe
(deg)
σR.A.
(μas)
σDecl.
(μas)
157482
157482
157482
157482
157482
157482
157482
157482
157482
157482
157482
157482
157482
157482
157482
163840
163840
163840
171779
171779
171779
171779
171779
171779
171779
171779
171779
171779
171779
171779
171779
171779
171779
171779
171779
171779
171779
171779
171779
171779
171779
171779
171779
171779
171779
53229.22147
53233.18369
53234.20226
53235.21839
53236.16808
53249.16080
53466.52339
53481.50702
53494.45379
53585.25004
53874.42903
53956.21473
54216.50608
54217.49399
54222.50033
54229.48700
54336.19699
54350.16298
52808.35348
52834.36024
52862.30296
52863.28434
52864.31303
52865.30141
52891.21310
52894.23156
52896.20046
52897.22741
52917.13191
52918.16098
52920.14902
52929.11933
52930.10995
53131.44662
53168.47198
53173.33134
53199.36474
53207.24884
53214.34597
53236.26985
53251.23408
53585.32238
53620.20055
53636.19192
53894.49167
45.2196
45.0993
44.8269
45.2153
44.4598
44.2467
31.4133
30.4434
29.5257
23.9817
1.2460
−5.0781
−22.1555
−23.6355
−28.3453
32.9814
29.6432
28.9940
222.2909
225.6783
221.9964
222.1970
222.3216
221.9020
221.9119
221.9503
221.6371
222.9335
221.1082
221.2135
221.2713
221.3020
221.1524
219.4510
219.4481
219.3735
219.6117
219.5253
219.1263
218.8993
218.7086
216.3509
213.6541
216.2497
213.7129
−94.5160
−94.8458
−94.7637
−94.9183
−94.8862
−95.8032
−102.8882
−103.3347
−103.1672
−102.6116
−88.7776
−81.9131
−45.7120
−49.4281
−48.1186
−47.2685
−81.4727
−84.8398
−118.7665
−119.4033
−119.4218
−119.4295
−119.3997
−119.4603
−119.7123
−119.7423
−119.6784
−119.6507
−119.9472
−119.9961
−120.0294
−120.0970
−120.0815
−122.5100
−122.6406
−122.8492
−123.0555
−123.0926
−123.1707
−123.4054
−123.5691
−126.8928
−127.0893
−127.4120
−129.9290
6.4
6.0
7.6
8.5
4.7
4.3
9.9
11.1
18.6
10.1
6.8
9.2
8.7
9.6
15.6
17.1
17.6
20.4
31.3
20.4
5.7
9.8
9.5
10.4
13.9
7.8
6.0
11.7
4.9
15.7
12.3
4.5
7.2
19.0
4.1
4.8
9.7
13.3
3.1
2.5
5.0
11.2
24.2
11.1
10.9
80.0
64.7
37.8
107.1
78.1
87.9
204.2
311.1
251.9
114.7
99.5
341.7
202.1
162.5
453.9
267.9
163.5
327.5
424.5
1868.3
100.4
127.3
180.2
117.0
417.5
234.7
62.7
348.7
147.1
937.9
408.3
137.1
185.5
403.5
70.4
116.6
328.0
462.9
77.3
81.0
118.4
333.2
1559.2
370.6
291.4
172.84
167.67
172.74
176.57
166.59
172.71
163.01
38.18
163.98
174.02
168.07
170.23
171.22
169.30
172.74
168.21
168.93
170.79
105.79
175.56
179.91
175.62
4.43
1.66
177.49
3.92
177.22
5.15
175.12
2.98
1.61
0.23
178.74
25.15
1.94
24.98
176.46
27.06
1.40
177.98
179.22
179.80
173.71
2.65
3.74
79.4
63.2
37.5
106.9
76.0
87.2
195.3
244.7
242.2
114.0
97.4
336.8
199.7
159.7
450.3
262.2
160.5
323.3
119.4
1862.7
100.4
126.9
179.6
116.9
417.1
234.1
62.6
347.3
146.6
936.6
408.2
137.1
185.5
365.3
70.3
105.8
327.4
412.3
77.2
80.9
118.4
333.2
1549.8
370.2
290.8
11.8
15.0
8.9
10.6
18.7
12.0
60.4
192.5
71.8
15.6
21.6
58.7
32.0
31.6
59.4
57.2
35.8
56.2
408.6
145.9
5.7
13.8
16.8
11.0
23.0
17.8
6.7
33.4
13.4
51.2
16.8
4.6
8.3
172.4
4.7
49.5
22.5
210.9
3.7
3.8
5.2
11.3
172.6
20.4
21.9
2
σR.A.,decl.
σR.A. σdecl.
−0.83913
−0.91188
−0.51350
−0.60012
−0.96551
−0.93122
−0.98523
0.99731
−0.96315
−0.76046
−0.94661
−0.98729
−0.96157
−0.95109
−0.96421
−0.95254
−0.86590
−0.92952
−0.96212
−0.99015
−0.02887
−0.69960
0.82539
0.30652
−0.79584
0.89999
−0.45030
0.93643
−0.93027
0.95168
0.68297
0.12035
−0.49262
0.99258
0.50092
0.99416
−0.90134
0.99749
0.51293
−0.75752
−0.30556
−0.10360
−0.98999
0.83741
0.86728
σmin,c
(μas)
σmaj,c
(μas)
σR.A.,c
(μas)
σDecl.,c
(μas)
42.6
41.8
45.4
47.6
39.3
38.6
51.4
54.8
78.9
51.9
43.5
36.2
36.1
36.3
38.3
39.0
75.5
85.1
124.0
85.1
41.2
51.1
50.3
52.8
63.4
45.9
41.8
56.6
39.6
69.2
58.4
39.0
44.4
80.2
38.3
39.5
50.8
61.5
36.9
36.3
39.8
55.1
98.4
54.8
54.2
174.4
163.3
148.4
197.4
172.9
180.7
300.1
428.0
356.1
204.5
190.6
465.7
297.7
253.4
606.5
375.4
254.5
448.2
569.3
2432.8
191.4
216.8
272.9
206.7
560.5
335.7
162.0
474.4
237.0
1227.3
548.9
226.6
278.8
542.9
167.3
206.3
448.8
617.8
172.3
175.2
208.1
455.2
2031.8
501.7
403.9
173.1
159.8
147.3
197.1
168.5
179.3
287.4
338.1
343.0
203.5
186.7
459.0
294.3
249.1
601.6
367.5
250.2
442.6
195.5
2425.5
191.4
216.2
272.1
206.6
560.0
334.9
161.8
472.5
236.2
1225.6
548.7
226.6
278.8
492.6
167.2
187.8
447.9
550.9
172.3
175.1
208.0
455.2
2019.6
501.2
403.0
47.5
53.7
48.8
49.0
55.4
44.7
100.5
268.0
124.1
55.9
58.0
86.7
57.8
59.0
85.5
85.7
88.7
110.4
548.9
206.5
41.2
53.6
54.4
53.1
67.9
51.2
42.5
70.6
44.3
94.0
60.4
39.0
44.8
241.9
38.7
94.2
57.8
286.4
37.2
36.8
39.9
55.1
243.1
59.5
60.2
2
σR.A.,decl.,c
σR.A.,c σdecl.,c
N
LDC
Align
−0.42967
−0.60625
−0.34830
−0.22709
−0.68554
−0.48991
−0.84564
0.96592
−0.75148
−0.35659
−0.64317
−0.90591
−0.77515
−0.78034
−0.89225
−0.88558
−0.50137
−0.62589
−0.75329
−0.91072
−0.00697
−0.29176
0.37442
0.10541
−0.35692
0.43993
−0.17275
0.59429
−0.44184
0.67636
0.25258
0.02266
−0.13329
0.93079
0.13861
0.88771
−0.47321
0.97058
0.10811
−0.16075
−0.06835
−0.02840
−0.91337
0.38544
0.42981
3905
3303
3701
2094
6684
5428
3031
3301
1355
1479
2358
4028
2492
2731
1604
2368
2058
2030
205
366
1903
711
787
829
459
1190
1701
594
1804
326
590
1960
1551
407
2344
1980
825
1254
3675
4097
2272
350
322
697
613
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
Rate
(Hz)
100
100
100
100
100
100
100
100
100
100
100
50
100
100
100
50
50
50
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
Outlier
0
0
0
0
0
0
0
0
0
0
0
0
1
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
Vol. 140
HJD
2400000.5
MUTERSPAUGH ET AL.
HD
Number
HJD
2400000.5
δR.A.
(mas)
δDecl.
(mas)
σmin
(μas)
σmaj
(μas)
φe
(deg)
σR.A.
(μas)
σDecl.
(μas)
171779
171779
171779
171779
171779
171779
171779
171779
171779
171779
171779
171779
171779
171779
171779
171779
171779
171779
171779
171779
171779
171779
171779
171779
171779
171779
171779
176051
176051
176051
176051
176051
176051
176051
176051
176051
176051
176051
176051
176051
176051
176051
176051
176051
176051
53929.37774
53930.37774
53936.35814
53937.35615
53942.33879
53949.32378
53951.31374
53956.31011
53957.28590
53958.29026
53963.26954
53964.26536
53965.26415
53970.26381
53971.25825
53979.25553
53992.19426
53993.17934
54003.17235
54006.17808
54007.18032
54251.49209
54252.48964
54376.17462
54728.18950
54741.17373
54748.15753
52865.18946
52891.15205
53109.51640
53110.52340
53123.50203
53145.43757
53168.38529
53172.39036
53187.34070
53197.36964
53198.38049
53215.29575
53222.32431
53228.28183
53233.19737
53235.29812
53242.16492
53250.20055
213.3161
213.1329
213.1750
213.2334
212.8086
213.4291
212.7836
212.9765
212.6294
212.9650
212.7146
213.2967
212.6975
212.9056
212.8738
212.8052
212.8410
211.6802
212.6577
212.6724
212.5338
210.5304
209.8767
210.2435
206.8926
205.9022
206.6104
−716.3549
−725.7708
−764.3662
−763.8966
−766.5383
−770.5581
−773.5629
−774.8076
−777.2660
−779.0516
−779.4953
−782.3349
−783.3567
−784.3775
−784.9444
−784.4927
−786.6680
−788.5477
−130.3377
−130.3739
−130.4222
−130.4124
−130.4947
−130.5064
−130.5483
−130.6239
−130.6101
−130.5947
−130.6330
−130.7210
−130.6755
−130.7631
−130.7368
−130.7791
−130.9400
−130.8416
−131.0548
−131.1255
−131.1279
−133.4152
−133.4837
−134.6941
−138.0488
−138.2655
−138.2506
217.1509
214.5872
172.3603
171.9603
169.5217
165.2904
160.5122
159.7908
156.8094
154.9404
154.7126
151.3896
149.9677
148.7425
147.7408
147.5957
146.5146
144.6414
5.3
3.2
4.5
3.6
9.8
17.8
2.8
4.9
6.4
5.2
24.5
17.1
3.2
3.3
4.1
6.5
7.1
19.3
16.8
3.4
4.4
8.0
9.2
9.8
21.6
7.3
9.4
33.2
38.3
9.2
20.2
13.7
30.1
24.5
9.3
8.9
5.0
5.6
3.3
7.8
4.9
13.5
14.1
18.0
5.3
132.4
71.6
110.2
82.9
455.0
1009.2
47.5
123.4
398.4
59.5
686.3
480.8
86.8
112.3
110.2
206.8
89.4
1407.9
165.0
96.4
141.7
209.9
259.3
303.1
862.4
172.2
309.9
3587.6
2736.4
274.0
787.2
337.0
1532.4
609.6
294.8
248.8
36.4
224.0
28.7
395.9
31.3
535.9
627.5
357.0
33.4
178.98
0.08
178.59
178.86
178.07
179.18
178.39
0.78
175.46
176.45
175.85
175.35
175.73
178.66
178.54
2.34
175.99
173.68
177.52
1.81
2.92
178.19
178.18
4.02
179.21
3.69
4.61
153.57
160.45
153.10
155.34
157.50
156.75
158.86
161.87
160.08
171.53
175.37
165.72
177.60
170.87
156.45
179.93
25.76
167.11
132.4
71.6
110.1
82.9
454.7
1009.1
47.5
123.4
397.2
59.4
684.5
479.2
86.6
112.3
110.2
206.6
89.2
1399.3
164.8
96.3
141.5
209.8
259.1
302.4
862.3
171.9
308.9
3212.7
2578.8
244.4
715.5
311.4
1408.0
568.7
280.2
233.9
36.0
223.2
27.9
395.5
30.9
491.3
627.5
321.6
32.6
5.8
3.2
5.2
4.0
18.2
23.0
3.1
5.1
32.2
6.3
55.4
42.6
7.2
4.2
5.0
10.6
9.5
156.3
18.2
4.6
8.4
10.4
12.4
23.4
24.7
13.3
26.6
1597.0
916.2
124.3
329.0
129.6
605.5
221.1
92.1
85.2
7.3
18.9
7.8
18.3
6.9
214.5
14.2
156.0
9.1
2
σR.A.,decl.
σR.A. σdecl.
−0.40983
0.03067
−0.51567
−0.41030
−0.84189
−0.62961
−0.42651
0.32578
−0.97984
−0.57588
−0.89612
−0.91533
−0.89600
−0.62001
−0.56223
0.79376
−0.65598
−0.99225
−0.38794
0.66686
0.85380
−0.63936
−0.66493
0.90812
−0.48004
0.83253
0.93500
−0.99973
−0.99902
−0.99654
−0.99772
−0.99348
−0.99853
−0.99292
−0.99433
−0.99387
−0.72343
−0.95426
−0.89815
−0.90375
−0.69885
−0.99764
−0.05756
0.99173
−0.79918
σmin,c
(μas)
σmaj,c
(μas)
σR.A.,c
(μas)
σDecl.,c
(μas)
35.4
37.1
35.3
37.6
36.3
39.3
35.1
35.3
35.6
35.4
42.7
39.0
35.1
35.2
35.2
35.6
35.7
40.0
38.8
35.2
35.3
35.9
36.2
51.1
41.1
35.8
36.2
130.9
149.7
49.5
84.4
62.7
119.6
99.5
49.7
48.7
39.8
41.0
37.2
45.9
39.6
62.1
64.0
76.8
40.4
221.9
168.1
200.3
176.7
607.8
1319.4
153.0
212.9
536.5
159.9
903.1
640.5
179.8
202.3
200.3
303.1
182.0
1835.6
256.1
187.9
231.4
306.7
365.0
418.2
1129.8
264.0
426.5
4666.0
3560.1
382.7
1032.9
459.9
1997.0
804.8
408.0
352.4
147.8
323.1
144.9
533.4
145.8
710.6
827.7
484.8
146.6
221.8
168.1
200.2
176.6
607.5
1319.3
153.0
212.9
534.8
159.7
900.7
638.4
179.3
202.2
200.2
302.9
181.5
1824.5
255.9
187.8
231.1
306.5
364.8
417.1
1129.7
263.5
425.1
4178.7
3355.2
342.0
939.4
425.6
1835.5
751.4
388.1
331.8
146.3
322.1
140.7
532.9
144.1
651.9
827.7
437.9
143.2
35.6
37.1
35.6
37.7
41.7
43.6
35.4
35.5
55.3
36.7
78.0
64.8
37.5
35.5
35.6
37.7
37.8
205.9
40.3
35.6
37.1
37.2
38.0
58.8
44.0
39.5
49.8
2080.2
1199.6
178.7
437.7
185.3
795.9
304.7
135.5
128.5
45.0
48.4
50.7
51.0
45.5
289.6
64.0
221.7
51.2
2
σR.A.,decl.,c
σR.A.,c σdecl.,c
N
LDC
Align
−0.10808
0.00603
−0.13408
−0.08894
−0.48920
−0.43303
−0.11518
0.07950
−0.76413
−0.25678
−0.83580
−0.79791
−0.34318
−0.12935
−0.13894
0.32408
−0.32337
−0.98075
−0.26844
0.16066
0.30989
−0.25704
−0.30220
0.49103
−0.35376
0.42209
0.68337
−0.99753
−0.99120
−0.95081
−0.97729
−0.93068
−0.98654
−0.93691
−0.92249
−0.91549
−0.44818
−0.52966
−0.65645
−0.43490
−0.47073
−0.97229
−0.01570
0.92350
−0.58932
2461
5332
3012
3655
1213
375
6370
3646
2167
2953
496
874
4673
3863
3413
2141
2370
221
970
3925
3051
2227
2229
1934
446
1746
1204
314
370
1285
664
1192
294
434
1386
1689
2882
2844
5997
2112
2825
801
1111
1383
3581
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
Rate
(Hz)
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
100
50
50
50
50
50
50
50
50
50
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
Outlier
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
THE PHASES DIFFERENTIAL ASTROMETRY DATA ARCHIVE. I.
HD
Number
No. 6, 2010
Table 4
(Continued)
1609
1610
Table 4
(Continued)
δR.A.
(mas)
δDecl.
(mas)
σmin
(μas)
σmaj
(μas)
φe
(deg)
σR.A.
(μas)
σDecl.
(μas)
176051
176051
176051
176051
176051
176051
176051
176051
176051
176051
176051
176051
176051
176051
176051
176051
176051
176051
176051
176051
176051
176051
176051
176051
176051
176051
176051
176051
176051
176051
176051
176051
176051
176051
176051
176051
176051
176051
176051
176051
176051
176051
176051
176051
176051
53251.16205
53263.19272
53271.17385
53481.42532
53544.44519
53551.33624
53565.34142
53585.30412
53599.23162
53600.24883
53607.17364
53613.18114
53614.17295
53639.15941
53858.50224
53872.43887
53873.46821
53895.43043
53915.38557
53922.36301
53923.36821
53942.29756
53956.26896
53970.18199
53971.17568
53977.17968
53995.17191
53996.14451
54007.15384
54272.42185
54279.41740
54285.40351
54294.37511
54300.34759
54315.30463
54320.30936
54336.27158
54343.25058
54348.23686
54350.22324
54357.21302
54376.14606
54377.14482
54383.13838
54671.37080
−788.1705
−790.7290
−791.8338
−824.7575
−836.0487
−837.0295
−839.7999
−841.6259
−844.0472
−844.2410
−845.4474
−846.0260
−846.2973
−850.7464
−884.1126
−885.9335
−885.9209
−889.0916
−892.7212
−893.3954
−892.8996
−895.8330
−897.8470
−900.4581
−899.9728
−901.3281
−903.8195
−903.1964
−905.5950
−941.4152
−942.6064
−943.1286
−944.2659
−945.6096
−946.8404
−948.1228
−950.2820
−950.7254
−951.5093
−951.8030
−952.8741
−954.9497
−955.1633
−955.5471
−991.1354
144.2936
142.0380
140.3757
100.0525
86.2634
85.0116
82.3298
78.3693
75.5130
75.2877
73.9736
72.6663
72.5875
67.6243
24.0259
21.1953
20.8900
16.3485
12.5358
11.0379
10.8388
7.1329
4.2030
1.4808
1.0645
0.0533
−3.4528
−3.7579
−5.9761
−58.8231
−60.2317
−61.3424
−63.1919
−64.3333
−67.5020
−68.3782
−71.6059
−73.0148
−74.1000
−74.3261
−75.8207
−79.6896
−79.7522
−80.9643
−137.7092
13.6
7.9
5.8
19.6
13.8
6.8
29.3
7.0
15.9
6.2
4.5
12.1
6.7
11.0
12.8
13.6
23.2
10.7
13.7
8.3
25.6
7.6
11.3
11.6
14.3
7.2
23.0
6.6
12.2
8.2
21.1
8.4
23.9
12.4
16.5
8.5
6.6
7.1
8.2
9.3
8.0
16.2
7.0
10.9
12.9
748.1
62.7
59.3
172.2
106.8
57.0
1014.0
41.6
822.8
39.8
77.1
362.8
182.5
129.4
202.7
244.8
168.6
100.8
114.1
87.2
286.8
179.7
302.7
441.3
435.3
165.7
219.8
212.6
328.3
178.0
412.9
177.9
439.3
263.2
314.6
149.5
127.1
157.2
154.6
154.1
187.2
480.6
121.7
289.2
223.4
159.65
172.83
173.45
6.55
178.40
157.72
167.65
168.17
164.08
167.20
156.57
161.82
160.40
170.33
161.15
155.54
162.71
165.33
166.41
168.77
169.75
164.73
166.90
157.30
156.27
160.31
168.21
164.38
173.17
171.15
174.28
174.84
172.89
171.49
170.89
175.48
176.69
176.16
175.66
174.08
176.55
173.99
173.41
176.14
0.29
701.4
62.2
59.0
171.1
106.7
52.8
990.6
40.7
791.3
38.9
70.8
344.7
171.9
127.6
191.9
222.9
161.1
97.6
110.9
85.6
282.3
173.4
294.8
407.2
398.6
156.0
215.2
204.8
325.9
175.9
410.9
177.2
435.9
260.3
310.6
149.0
126.9
156.9
154.2
153.3
186.8
478.0
120.9
288.6
223.4
260.4
11.1
8.9
27.7
14.1
22.5
218.7
10.9
226.2
10.7
30.9
113.8
61.5
24.3
66.6
102.1
54.8
27.5
29.9
18.9
56.9
47.9
69.5
170.6
175.7
56.2
50.2
57.6
40.9
28.6
46.2
18.0
59.3
40.8
52.4
14.5
9.9
12.7
14.3
18.4
13.8
52.8
15.6
22.3
13.0
2
σR.A.,decl.
σR.A. σdecl.
−0.99844
−0.69416
−0.75487
0.70016
−0.20740
−0.94589
−0.99058
−0.75737
−0.99733
−0.80367
−0.98763
−0.99374
−0.99328
−0.88789
−0.97934
−0.98925
−0.89612
−0.91632
−0.88184
−0.89263
−0.88924
−0.98651
−0.98584
−0.99727
−0.99603
−0.99060
−0.88379
−0.99281
−0.95376
−0.95711
−0.88822
−0.88472
−0.91382
−0.95148
−0.94785
−0.80962
−0.74162
−0.82899
−0.81731
−0.86105
−0.81357
−0.95099
−0.89110
−0.87166
0.08820
σmin,c
(μas)
σmaj,c
(μas)
σR.A.,c
(μas)
σDecl.,c
(μas)
62.4
46.1
41.4
82.3
63.0
43.5
116.7
44.0
69.8
42.2
39.0
57.8
43.3
54.5
59.9
62.4
94.9
53.6
62.7
47.1
43.4
35.8
36.8
36.9
37.8
35.7
41.9
35.6
37.1
35.9
40.9
36.0
42.4
37.1
71.8
47.6
43.1
44.2
46.9
49.7
46.4
70.8
44.0
54.2
37.3
982.6
162.0
159.8
264.0
197.2
158.4
1325.6
150.1
1078.8
149.3
172.2
492.0
275.5
218.9
298.4
347.7
260.1
191.8
204.0
180.1
398.3
272.3
417.7
590.5
583.0
256.9
318.2
309.8
449.2
270.5
554.7
270.3
588.0
369.7
432.3
239.5
216.6
247.7
244.9
244.4
280.8
640.3
211.3
401.2
322.4
921.5
160.8
158.8
262.5
197.1
147.5
1295.2
147.2
1037.6
145.8
158.7
467.8
259.9
215.9
283.1
317.5
249.9
186.0
198.8
176.9
392.0
262.9
406.9
545.0
533.9
242.2
311.6
298.5
446.0
267.3
552.0
269.3
583.5
365.7
427.0
238.8
216.2
247.2
244.3
243.2
280.3
636.8
209.9
400.3
322.4
346.7
50.0
45.0
87.1
63.3
72.3
305.6
52.9
303.4
52.8
77.2
163.0
101.0
65.1
111.9
154.8
119.1
71.1
77.6
58.0
82.7
79.6
101.2
230.4
237.1
92.9
76.9
90.2
64.9
54.7
68.6
43.3
84.1
65.9
98.5
51.1
44.8
47.1
50.3
55.5
49.3
97.2
49.9
60.5
37.3
2
σR.A.,decl.,c
σR.A.,c σdecl.,c
N
LDC
Align
−0.98140
−0.37125
−0.37822
0.31190
−0.07812
−0.76316
−0.92043
−0.53077
−0.97095
−0.57522
−0.83708
−0.92791
−0.89093
−0.52907
−0.82524
−0.89721
−0.55924
−0.62808
−0.55796
−0.56253
−0.84637
−0.88477
−0.92783
−0.98485
−0.98473
−0.91291
−0.83090
−0.91217
−0.81783
−0.74697
−0.80118
−0.55133
−0.86130
−0.82182
−0.67512
−0.35480
−0.26825
−0.34091
−0.35519
−0.43509
−0.33359
−0.68100
−0.46424
−0.43844
0.04312
1397
3034
2785
660
967
3226
753
2232
714
3045
4516
1231
2355
2078
532
313
534
925
2133
3364
880
2492
2589
1308
1157
2569
609
1741
2094
2112
1468
2534
1685
1854
1165
2326
4109
3771
2822
2658
3494
1499
3739
2283
2378
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
Rate
(Hz)
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
50
50
50
50
50
50
50
50
100
100
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
Outlier
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
Vol. 140
HJD
2400000.5
MUTERSPAUGH ET AL.
HD
Number
HJD
2400000.5
δR.A.
(mas)
δDecl.
(mas)
σmin
(μas)
176051
176051
176051
187362
187362
187362
187362
187362
187362
187362
187362
187362
187362
196524
196524
196524
196524
196524
196524
196524
196524
196524
196524
196524
196524
196524
196524
196524
196524
196524
196524
196524
196524
196524
196524
196524
196524
196524
196524
196524
196524
196524
196524
196524
196524
54685.33104
54698.29734
54706.27220
53909.36616
53930.34694
53958.21750
53964.18964
53972.17329
54006.14033
54008.14292
54336.22798
54341.24525
54356.19475
52919.15033
53200.34646
53207.32515
53214.28543
53221.31357
53234.20413
53242.26045
53250.19842
53263.18972
53271.15653
53284.15401
53294.15110
53508.45604
53509.45813
53551.39533
53565.33746
53572.43002
53584.35475
53586.26593
53599.20180
53600.22267
53606.34340
53607.34297
53613.32596
53614.32379
53621.20009
53639.21868
53649.19784
53655.15772
53676.11652
53957.25341
53972.24316
−993.4281
−994.6124
−994.4562
−20.1136
−18.6589
−21.2649
−18.4896
−18.5223
−17.4188
−17.8290
−7.2546
−7.3695
−6.7854
−52.7322
−25.0494
−25.0499
−24.9518
−23.5277
−22.8423
−21.4859
−21.8239
−20.6518
−18.4303
−17.3960
−17.0894
3.3893
2.4331
7.5489
9.1612
10.2995
10.9113
10.3136
13.2131
12.5157
13.3513
13.1690
13.4970
13.8057
14.3445
16.1788
17.2474
18.0352
19.0929
46.1307
47.8343
−140.4674
−143.2756
−144.6023
−131.3605
−133.4846
−134.0831
−136.0483
−136.5315
−139.4907
−139.4114
−163.6643
−163.9836
−164.9968
586.2133
585.6767
585.3716
585.1530
584.9481
584.6511
584.4005
584.4826
584.1074
583.2751
583.3073
582.9895
574.5971
575.3321
572.2611
571.3476
571.4202
570.1280
570.4053
568.6734
569.0969
569.0109
568.9778
568.6135
568.5047
568.0796
566.7894
566.1405
565.7046
564.5358
541.1888
539.5585
15.4
21.0
16.0
10.8
15.3
32.2
27.0
13.0
9.0
14.5
20.8
30.6
20.7
15.7
33.2
14.0
10.9
6.4
6.8
12.7
13.1
8.8
8.0
9.1
12.3
17.7
13.4
7.3
25.4
25.3
12.8
7.7
10.1
6.2
7.1
5.9
13.7
10.7
42.6
5.3
8.7
12.2
11.6
6.0
5.9
σmaj
(μas)
328.6
471.1
225.3
107.6
559.1
995.3
662.2
343.0
194.7
387.7
121.6
987.2
228.9
526.6
568.9
238.4
371.2
162.6
111.1
125.2
377.7
545.8
286.3
141.1
286.9
814.7
488.2
40.0
345.7
591.3
87.1
61.4
542.5
64.0
122.4
140.2
281.8
237.1
232.6
29.0
53.6
124.4
106.5
212.2
61.4
φe
(deg)
σR.A.
(μas)
σDecl.
(μas)
179.70
0.96
179.41
153.40
159.72
150.17
148.42
149.56
160.75
162.47
157.15
164.92
163.69
160.79
25.92
27.77
149.74
31.14
146.51
34.15
151.42
156.11
154.14
33.76
166.14
146.57
147.44
153.01
148.61
42.84
162.71
154.46
145.53
148.22
176.93
177.63
177.57
177.41
30.11
169.26
171.31
163.42
167.66
149.99
153.88
328.6
471.1
225.3
96.3
524.5
863.5
564.4
295.8
183.9
369.8
112.3
953.3
219.8
497.3
511.9
211.1
320.7
139.2
92.7
103.9
331.7
499.1
257.7
117.4
278.5
680.0
411.5
35.8
295.4
434.0
83.2
55.5
447.3
54.5
122.3
140.1
281.6
236.9
202.3
28.5
53.0
119.3
104.1
183.8
55.2
15.5
22.4
16.2
49.2
194.3
495.9
347.5
174.2
64.8
117.6
51.0
258.5
67.3
173.9
250.5
111.8
187.3
84.2
61.5
71.1
181.0
221.2
125.1
78.8
69.7
449.1
263.0
19.3
181.4
402.5
28.6
27.4
307.1
34.1
9.6
8.3
18.2
15.1
122.4
7.5
11.8
37.4
25.4
106.3
27.5
2
σR.A.,decl.
σR.A. σdecl.
−0.11255
0.35095
−0.14317
−0.96914
−0.99649
−0.99720
−0.99584
−0.99623
−0.98920
−0.99158
−0.89703
−0.99246
−0.94715
−0.99544
0.98910
0.98988
−0.99772
0.99606
−0.99113
0.97667
−0.99659
−0.99905
−0.99746
0.99034
−0.98348
−0.99888
−0.99817
−0.90692
−0.98643
0.99632
−0.88391
−0.94981
−0.99920
−0.97694
−0.67791
−0.69693
−0.65715
−0.70819
0.91643
−0.69481
−0.66896
−0.93988
−0.88469
−0.99787
−0.97100
σmin,c
(μas)
σmaj,c
(μas)
σR.A.,c
(μas)
σDecl.,c
(μas)
38.2
40.8
38.5
53.9
67.9
47.6
44.2
37.3
36.1
37.9
86.4
121.4
86.1
69.2
130.9
63.7
54.2
42.6
43.5
59.6
60.9
48.4
46.4
49.2
58.4
75.8
61.8
44.7
102.7
102.3
59.9
45.6
51.9
42.2
44.2
41.6
62.7
53.6
165.6
40.4
48.1
58.1
56.3
35.5
35.5
449.5
628.2
324.6
197.9
740.2
1301.4
872.2
467.4
289.2
523.1
211.2
1291.0
328.9
698.7
752.7
340.1
502.5
253.5
201.1
214.7
510.6
723.2
397.6
230.8
398.4
1068.3
649.9
149.3
470.7
781.3
180.1
161.2
719.0
162.9
211.9
229.8
392.2
338.5
333.2
145.0
156.4
213.9
196.9
309.4
161.2
449.5
628.1
324.6
178.6
694.7
1129.3
743.4
403.4
273.3
498.9
197.5
1246.9
316.5
660.2
679.4
302.4
434.9
218.1
169.5
180.8
449.3
661.5
358.4
193.8
387.0
892.6
548.8
134.6
405.4
577.1
172.8
146.7
593.5
140.2
211.7
229.6
391.8
338.2
300.0
142.6
154.8
205.7
192.7
268.5
145.5
38.3
42.1
38.6
100.9
264.3
648.7
458.3
239.0
101.3
161.6
114.3
355.7
123.9
239.0
349.5
168.2
257.5
136.1
116.8
130.2
250.0
296.2
178.4
134.6
111.0
591.9
353.6
78.6
260.4
536.5
78.3
80.8
409.2
93.0
45.6
42.6
64.8
55.7
220.2
48.0
53.1
82.6
69.2
157.7
77.8
2
σR.A.,decl.,c
σR.A.,c σdecl.,c
N
LDC
Align
−0.06100
0.24868
−0.08533
−0.80563
−0.96186
−0.99642
−0.99358
−0.98348
−0.92598
−0.96934
−0.58837
−0.93547
−0.69215
−0.95194
0.90979
0.90477
−0.96994
0.93139
−0.89690
0.83934
−0.96099
−0.98391
−0.95753
0.90029
−0.84072
−0.98818
−0.97836
−0.77628
−0.88901
0.96610
−0.60420
−0.78427
−0.98810
−0.84979
−0.23827
−0.21577
−0.24987
−0.26758
0.54934
−0.51850
−0.40208
−0.68211
−0.55699
−0.96577
−0.86294
1501
1142
2214
1622
776
409
452
1372
1925
795
429
303
438
779
297
1258
1226
2780
1774
1529
1314
1148
1394
2011
1184
726
886
2106
518
556
923
1675
1407
2119
1336
2015
630
1128
458
2236
1152
558
1047
2980
3320
1
1
1
0
0
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
Rate
(Hz)
50
50
50
50
50
50
50
50
50
50
50
50
50
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
50
50
Outlier
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
THE PHASES DIFFERENTIAL ASTROMETRY DATA ARCHIVE. I.
HD
Number
No. 6, 2010
Table 4
(Continued)
1611
1612
Table 4
(Continued)
196524
196524
196524
196524
196524
196524
196524
196524
196524
196524
196524
196524
196524
196524
196524
196524
196524
196524
196524
196524
196524
196524
196524
196524
196524
196524
196524
196524
196524
196524
196524
196524
196524
196524
196524
196524
196524
196524
196524
196524
196524
202275
202275
202275
202275
53978.26170
53996.19517
54004.19705
54008.20254
54032.12437
54037.14931
54245.44853
54250.43334
54251.43698
54252.42277
54266.41214
54272.37663
54278.34417
54279.42309
54280.36975
54292.34064
54294.37850
54299.35356
54301.34369
54307.27750
54308.28913
54320.24118
54341.25708
54348.24998
54356.23181
54363.21162
54377.20906
54384.16336
54385.15314
54627.40783
54629.40264
54653.33660
54678.25808
54685.23690
54695.32872
54696.23641
54707.32334
54713.25461
54740.14335
54742.14085
54749.13151
52896.18633
52897.16089
52915.20668
52917.18635
δR.A.
(mas)
47.9166
49.3756
50.5316
50.9299
53.3578
54.0282
72.1388
72.6182
73.5329
73.6944
74.9599
74.8844
75.5951
75.8577
76.2560
75.8990
77.2536
77.5955
78.1889
78.2116
77.8873
79.0568
81.6521
82.2682
82.7031
83.4030
84.5719
85.2876
85.2516
105.8214
105.5982
107.9257
109.9239
110.1886
111.2543
111.2657
112.5222
113.0873
114.4883
114.5775
116.4486
43.1322
42.9726
46.9137
46.8907
δDecl.
(mas)
σmin
(μas)
σmaj
(μas)
φe
(deg)
σR.A.
(μas)
σDecl.
(μas)
539.0539
537.4114
536.5239
536.2051
533.5132
532.9612
508.7330
508.1093
507.3488
507.3307
505.4144
505.0680
504.2017
503.7161
503.6052
502.8724
501.7908
501.1723
500.7383
500.0268
500.3942
498.6158
495.3649
494.3164
493.3491
492.4233
490.3751
489.4183
489.2226
450.9476
450.8387
446.4978
442.0530
440.9976
438.7978
438.8904
436.7090
435.5313
431.0694
430.6359
428.8318
28.3062
29.2560
41.1243
42.6174
5.3
6.1
9.0
4.7
13.8
9.3
8.9
7.8
9.4
16.0
8.5
6.4
21.2
7.6
6.0
14.9
6.5
9.5
8.3
5.0
7.8
5.8
4.6
3.9
3.9
17.8
4.9
7.3
6.5
10.1
6.9
8.6
7.1
6.3
14.0
9.4
12.0
5.5
10.8
21.2
37.0
7.3
6.4
9.2
4.0
50.2
179.1
123.1
47.6
86.1
250.6
283.7
336.1
140.3
219.3
108.9
238.9
1711.5
80.9
50.8
655.3
45.7
303.8
228.2
174.9
328.6
196.0
17.6
22.9
24.2
402.7
41.6
51.2
57.8
281.6
230.4
135.0
263.9
255.9
145.7
236.4
232.5
56.7
419.4
1055.0
1987.4
73.4
99.7
122.4
71.9
161.93
158.12
163.02
166.28
164.70
174.23
147.81
147.64
149.45
147.26
152.83
148.02
145.35
163.23
150.78
150.39
160.85
156.17
155.58
147.41
149.35
147.34
158.90
160.61
163.29
162.64
170.78
165.73
161.55
148.74
148.83
147.77
147.02
146.54
167.64
150.86
175.65
162.68
155.84
156.14
158.68
150.12
146.48
163.69
160.61
47.7
166.2
117.8
46.2
83.1
249.3
240.2
284.0
120.9
184.7
97.0
202.7
1408.1
77.5
44.4
569.7
43.3
277.9
207.8
147.4
282.7
165.1
16.5
21.6
23.2
384.4
41.1
49.6
54.9
240.7
197.2
114.2
221.5
213.5
142.3
206.6
231.8
54.2
382.7
964.9
1851.4
63.8
83.2
117.5
67.8
16.3
67.0
37.0
12.2
26.3
26.9
151.3
180.0
71.8
119.4
50.3
126.6
973.1
24.4
25.3
324.0
16.2
123.1
94.7
94.3
167.6
105.9
7.7
8.4
7.9
121.3
8.2
14.5
19.3
146.4
119.4
72.3
143.8
141.2
34.0
115.4
21.3
17.7
171.9
427.1
723.4
37.1
55.3
35.5
24.2
2
σR.A.,decl.
σR.A. σdecl.
−0.94110
−0.99518
−0.96727
−0.91753
−0.83963
−0.93734
−0.99760
−0.99867
−0.98827
−0.98723
−0.98168
−0.99825
−0.99965
−0.94577
−0.96314
−0.99860
−0.90443
−0.99644
−0.99538
−0.99803
−0.99852
−0.99790
−0.76593
−0.87375
−0.85949
−0.98811
−0.79676
−0.85221
−0.93502
−0.99672
−0.99773
−0.99007
−0.99826
−0.99857
−0.90750
−0.99567
−0.82495
−0.94600
−0.99763
−0.99853
−0.99849
−0.97374
−0.99049
−0.96301
−0.98482
σmin,c
(μas)
σmaj,c
(μas)
σR.A.,c
(μas)
σDecl.,c
(μas)
35.4
35.5
36.1
35.3
37.6
36.2
36.1
35.9
36.2
38.5
36.0
35.6
40.9
35.8
35.5
38.0
35.6
36.3
36.0
35.4
35.9
41.4
39.1
38.0
38.0
76.2
39.6
44.7
42.8
36.4
35.7
36.0
35.7
35.6
37.7
36.2
37.0
35.4
36.6
40.9
50.9
44.7
42.6
49.5
38.2
154.5
271.7
212.6
153.1
179.2
354.6
394.5
458.8
229.9
317.6
199.1
340.7
2229.4
175.1
154.8
863.3
152.1
419.0
328.0
267.0
449.5
290.7
141.9
143.1
143.5
541.9
150.1
155.0
158.9
391.9
330.6
224.5
370.5
360.9
235.5
337.7
333.1
158.2
562.9
1378.6
2587.4
169.4
190.8
211.9
168.3
147.3
252.5
203.6
148.9
173.2
352.8
334.4
388.0
198.9
268.0
177.9
289.6
1834.1
168.0
136.2
750.8
144.1
383.6
299.1
225.8
387.2
245.8
133.1
135.6
137.9
517.7
148.3
150.6
151.3
335.6
283.5
190.9
311.4
301.7
230.2
295.5
332.2
151.4
513.8
1260.9
2410.4
148.6
160.8
203.9
159.3
58.5
106.5
71.1
49.9
59.6
50.7
212.4
247.4
121.0
174.8
96.4
182.9
1268.0
61.1
81.7
427.8
60.2
172.5
139.5
146.9
231.2
160.7
62.8
59.5
55.0
177.3
45.9
57.7
64.7
205.8
173.8
123.6
203.9
201.2
62.4
167.5
44.7
58.0
232.8
558.9
941.9
92.9
111.2
76.1
66.5
2
σR.A.,decl.,c
σR.A.,c σdecl.,c
N
LDC
Align
−0.77317
−0.93331
−0.84738
−0.68704
−0.75718
−0.69595
−0.97967
−0.98521
−0.93809
−0.96535
−0.90837
−0.97347
−0.99923
−0.79129
−0.86939
−0.99476
−0.78120
−0.97327
−0.95918
−0.95862
−0.98366
−0.95253
−0.74747
−0.73876
−0.69504
−0.89320
−0.48657
−0.60527
−0.71834
−0.97839
−0.97093
−0.93930
−0.97805
−0.97740
−0.78638
−0.96893
−0.55803
−0.76967
−0.98503
−0.99679
−0.99831
−0.83622
−0.89058
−0.73744
−0.79500
3788
2820
2365
3058
1151
1311
2246
3096
3068
1874
3479
3309
1014
2795
3371
1049
3512
2217
2916
3965
1847
3235
3750
6075
4753
1389
4606
4009
4382
2756
3328
2889
3090
2853
1885
2948
1359
4255
1595
1109
638
854
1698
885
2197
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
Rate
(Hz)
50
50
50
50
50
100
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
100
100
100
100
Outlier
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
Vol. 140
HJD
2400000.5
MUTERSPAUGH ET AL.
HD
Number
HJD
2400000.5
δR.A.
(mas)
δDecl.
(mas)
σmin
(μas)
σmaj
(μas)
φe
(deg)
σR.A.
(μas)
σDecl.
(μas)
202275
202275
202275
202275
202275
202275
202275
202275
202275
202275
202275
202275
202275
202275
202275
202275
202275
202275
202275
202275
202275
202275
202275
202275
202275
202275
202275
202275
202275
202275
202275
202275
202275
202275
202275
202275
202275
202275
202275
202275
202275
202275
202275
202275
202275
52918.17605
52920.20175
52929.16173
52930.16500
52951.10502
53172.44864
53173.40524
53181.40299
53182.40362
53186.40418
53187.40064
53197.39934
53198.37488
53199.39640
53208.32346
53214.34527
53215.34493
53221.26852
53222.34771
53229.30700
53236.24325
53249.24609
53251.20507
53508.51014
53550.41476
53552.39070
53571.33708
53584.32209
53586.30551
53607.23153
53613.22656
53614.22404
53637.20260
53656.13119
53874.48740
53909.42929
53957.31225
53970.25687
53971.25697
53977.26568
54003.21436
54005.19256
54028.10997
54037.11371
54230.50430
46.9123
46.8784
49.5693
49.3717
53.1315
30.9086
30.6928
28.0314
27.4784
25.5096
26.2103
21.9937
21.8510
22.2859
17.7858
15.9121
15.4419
14.0157
12.6374
10.0093
8.2332
1.7949
2.4740
−86.2661
−94.5634
−95.1314
−99.1014
−101.4808
−102.0699
−105.7110
−107.1689
−106.8640
−111.2011
−114.1212
−133.8872
−133.9992
−133.5951
−133.8277
−133.8720
−133.7452
−132.9971
−133.0756
−132.3819
−132.9331
−116.0750
43.3930
44.7321
50.3719
51.1594
64.3282
105.4061
104.8851
101.4540
101.1195
99.5865
98.5359
93.8954
93.2834
92.4201
87.9997
84.5147
83.9798
80.9109
79.9100
75.6266
70.6560
62.9850
60.8709
−117.6466
−143.7430
−144.7394
−155.5406
−162.5820
−163.5724
−174.9132
−177.7122
−178.5237
−189.7810
−198.7176
−275.5346
−283.9042
−293.0314
−294.8670
−294.9994
−295.9258
−299.3500
−299.4872
−301.8684
−302.3088
−301.5447
6.9
9.7
4.7
14.0
31.5
7.1
9.1
9.5
7.7
18.2
6.0
4.1
3.9
17.5
5.2
5.9
3.6
3.3
4.3
4.4
25.8
3.9
14.3
25.7
33.6
10.0
9.8
10.4
13.2
3.2
6.7
5.9
12.3
16.3
12.3
6.1
9.0
5.7
7.3
5.3
16.7
11.6
13.3
11.0
13.1
80.3
403.8
87.8
353.4
890.9
223.4
165.6
413.7
352.2
733.9
214.8
33.4
36.0
782.0
51.9
55.4
34.8
63.3
206.5
108.0
960.6
50.8
1217.5
1872.8
248.4
85.5
68.1
104.4
831.4
80.6
243.9
174.7
357.4
215.2
424.1
58.2
405.4
50.6
62.3
39.3
206.3
115.3
406.8
319.6
508.3
158.50
166.02
162.42
163.85
163.63
153.00
17.94
149.29
149.87
151.54
151.72
155.89
152.64
156.61
20.76
154.04
153.85
15.60
159.11
154.99
147.94
153.48
148.21
150.49
151.98
150.13
149.71
151.49
150.94
148.50
150.28
150.30
157.38
154.15
147.53
152.62
154.61
153.56
152.11
157.55
161.12
157.22
153.38
159.14
146.70
74.7
391.9
83.7
339.5
854.8
199.0
157.5
355.7
304.6
645.2
189.2
30.5
32.0
717.8
48.6
49.9
31.3
61.0
192.9
97.9
814.3
45.5
1034.9
1630.0
219.8
74.3
59.0
91.9
726.8
68.8
211.8
151.8
330.0
193.8
357.9
51.8
366.3
45.3
55.1
36.4
195.3
106.4
363.7
298.7
424.9
30.1
98.0
26.9
99.2
252.9
101.6
51.7
211.4
176.9
350.1
101.9
14.1
16.9
310.8
19.0
24.8
15.7
17.3
73.7
45.8
510.4
22.9
641.5
922.7
120.4
43.5
35.4
50.7
404.0
42.2
121.0
86.7
137.9
95.0
227.9
27.3
174.0
23.1
29.8
15.8
68.6
45.9
182.7
114.3
279.3
2
σR.A.,decl.
σR.A. σdecl.
−0.96946
−0.99474
−0.98301
−0.98921
−0.99154
−0.99695
0.98293
−0.99865
−0.99874
−0.99825
−0.99778
−0.94769
−0.96512
−0.99812
0.95683
−0.96434
−0.96757
0.98013
−0.99806
−0.99442
−0.99822
−0.98154
−0.99966
−0.99949
−0.94901
−0.96433
−0.94763
−0.97257
−0.99930
−0.99616
−0.99794
−0.99697
−0.99532
−0.98163
−0.99794
−0.96784
−0.99836
−0.96133
−0.96094
−0.93150
−0.96619
−0.96173
−0.99667
−0.99468
−0.99843
σmin,c
(μas)
σmaj,c
(μas)
σR.A.,c
(μas)
σDecl.,c
(μas)
43.7
50.8
39.3
63.7
124.7
44.2
49.2
50.3
45.6
77.5
41.8
38.3
38.0
75.1
40.2
41.6
37.6
37.2
38.6
38.8
104.1
38.0
64.6
103.7
132.4
51.7
51.1
52.8
61.2
37.1
43.3
41.6
58.4
71.1
58.4
42.0
36.1
35.5
35.8
35.4
38.8
36.9
37.4
36.7
37.4
174.6
543.3
180.6
480.3
1166.6
322.4
256.8
555.7
478.8
964.3
312.4
146.6
147.6
1026.2
155.4
157.4
147.1
162.4
302.8
198.3
1256.6
154.8
1588.9
2438.7
352.0
178.8
165.6
195.0
1089.8
174.9
346.6
266.8
485.3
312.8
568.8
159.1
545.3
154.7
161.7
149.0
302.5
205.1
547.1
438.4
675.5
163.3
527.3
172.6
461.7
1119.9
288.0
244.8
478.5
414.7
848.6
275.8
134.7
132.3
942.3
146.0
142.7
133.1
156.7
283.2
180.4
1066.4
139.5
1351.0
2122.9
316.9
157.1
145.3
173.2
953.1
150.4
301.8
232.7
448.5
283.2
480.9
142.6
492.9
139.4
143.9
138.4
286.5
189.6
489.4
409.9
564.9
75.8
140.2
66.2
146.9
349.9
151.6
91.9
287.1
243.6
464.6
152.5
69.3
75.8
413.2
66.7
78.4
73.1
56.5
113.8
90.9
672.8
77.0
838.9
1204.6
202.5
99.7
94.5
104.0
532.1
96.7
175.9
137.0
194.3
150.7
309.3
82.1
236.1
75.8
82.0
65.6
104.5
86.4
247.4
159.8
372.2
2
σR.A.,decl.,c
σR.A.,c σdecl.,c
N
LDC
Align
−0.78716
−0.92764
−0.78352
−0.89258
−0.92851
−0.94522
0.82742
−0.97909
−0.97634
−0.98186
−0.95066
−0.79908
−0.82861
−0.98019
0.76712
−0.81113
−0.82282
0.73125
−0.93187
−0.88323
−0.98324
−0.83691
−0.99589
−0.99509
−0.68742
−0.80762
−0.78738
−0.82056
−0.99132
−0.89515
−0.95923
−0.93755
−0.94564
−0.85325
−0.97476
−0.82143
−0.98555
−0.85488
−0.87171
−0.81413
−0.92011
−0.88707
−0.98558
−0.96940
−0.99277
1181
970
1846
584
232
1142
1322
679
1391
250
2087
2668
3203
515
3244
2792
3947
5719
2302
2316
66
2234
794
263
370
1352
1089
774
639
4856
1601
1597
570
526
264
2646
1127
2387
1682
3320
835
1614
632
556
933
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
Rate
(Hz)
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
50
50
50
50
50
50
50
50
100
50
Outlier
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
THE PHASES DIFFERENTIAL ASTROMETRY DATA ARCHIVE. I.
HD
Number
No. 6, 2010
Table 4
(Continued)
1613
1614
Table 4
(Continued)
δR.A.
(mas)
δDecl.
(mas)
σmin
(μas)
σmaj
(μas)
φe
(deg)
σR.A.
(μas)
σDecl.
(μas)
202275
202275
202275
202275
202275
202275
202275
202275
202275
202275
202275
202275
202275
202275
202275
202275
202275
202275
202275
202275
202444
202444
202444
202444
202444
202444
202444
202444
202444
202444
202444
202444
202444
202444
202444
202444
202444
202444
202444
202444
202444
202444
202444
202444
202444
54266.47312
54273.44060
54286.44916
54287.45890
54321.35282
54343.21174
54350.27098
54383.17856
54389.15740
54627.48303
54629.47795
54670.36488
54678.29381
54695.22568
54698.21273
54706.19610
54707.19017
54741.22082
54748.19278
54762.15379
53234.35595
53243.26521
53250.31241
53270.26350
53272.24593
53285.14592
53291.15886
53312.11074
53551.46586
53571.40917
53583.41831
53600.31206
53606.34868
53607.32867
53613.34066
53614.32504
53621.20519
53639.26290
53649.23303
53656.17565
53670.19052
53676.17822
53965.36823
53992.32268
54003.28908
−111.8958
−111.3234
−109.0169
−107.4535
−104.6007
−100.9267
−100.0982
−95.1820
−93.5380
−43.9409
−43.8838
−33.8286
−32.6938
−26.8923
−27.6502
−26.6969
−25.8258
−15.9349
−14.0966
−8.3398
−753.9975
−754.0677
−753.8386
−754.7529
−753.7950
−753.7582
−753.7914
−753.8118
−750.7528
−750.2907
−749.7614
−749.6416
−749.3081
−749.1312
−748.7877
−749.2825
−748.6727
−748.5259
−748.0584
−748.0981
−749.2667
−747.4412
−738.0858
−736.9830
−736.6610
−297.2173
−296.1236
−294.5057
−294.6102
−288.5396
−284.4750
−282.7950
−275.3360
−274.1005
−188.7326
−187.6002
−167.4185
−162.8598
−154.9510
−152.2701
−147.2190
−147.1529
−128.7799
−124.6952
−117.0524
31.7802
29.5872
27.5376
22.3568
21.7361
19.1240
16.7714
11.3891
−50.6872
−56.0105
−58.9536
−63.3621
−64.9009
−65.1141
−66.6577
−67.1063
−68.8551
−73.6027
−76.2148
−77.9192
−81.3797
−83.1706
−157.9427
−164.7958
−167.7696
13.2
10.4
17.0
39.0
7.9
5.3
9.1
12.0
26.4
8.4
31.0
16.9
15.7
17.4
20.1
11.1
10.3
20.8
9.9
29.0
12.3
33.0
9.5
14.6
27.4
8.4
10.6
6.3
11.0
8.8
13.6
15.3
8.0
12.6
9.3
10.7
21.0
11.7
13.2
22.5
14.3
14.4
12.0
22.8
11.3
112.0
448.6
830.5
1181.8
290.0
216.8
241.6
337.7
260.9
227.8
797.2
198.7
1030.4
1442.8
1342.1
853.0
663.8
2031.7
315.6
1281.7
588.3
1259.1
59.1
556.6
1011.7
96.3
82.2
137.8
70.7
70.1
134.6
97.0
59.9
123.2
80.6
82.5
156.3
108.9
123.3
144.2
655.5
177.5
155.3
243.0
124.8
158.12
153.94
162.69
165.87
162.36
147.85
161.91
161.87
161.04
156.57
156.50
156.05
147.67
144.99
144.43
145.08
144.75
166.92
164.78
164.98
170.69
26.66
165.11
172.09
169.23
25.96
159.82
164.09
165.49
171.09
175.82
162.16
171.55
167.84
175.46
171.36
18.03
172.25
172.68
164.51
177.12
179.35
171.90
178.61
176.37
104.1
403.0
792.9
1146.1
276.3
183.5
229.7
321.0
246.9
209.0
731.2
181.7
870.7
1181.8
1091.8
699.4
542.1
1979.0
304.6
1237.9
580.5
1125.4
57.2
551.3
993.9
86.6
77.3
132.6
68.5
69.3
134.3
92.4
59.3
120.5
80.4
81.6
148.8
107.9
122.3
139.1
654.7
177.5
153.8
242.9
124.5
43.5
197.3
247.6
291.0
88.2
115.5
75.5
105.7
88.4
90.9
319.2
82.1
551.2
827.8
780.8
488.4
383.2
460.2
83.4
333.5
96.0
565.7
17.7
77.9
190.9
42.8
30.1
38.3
20.7
13.9
16.7
33.1
11.8
28.7
11.3
16.3
52.3
18.7
20.4
44.2
35.9
14.6
24.9
23.5
13.8
2
σR.A.,decl.
σR.A. σdecl.
−0.94549
−0.99828
−0.99741
−0.99042
−0.99560
−0.99852
−0.99192
−0.99284
−0.94900
−0.99497
−0.99439
−0.97445
−0.99943
−0.99967
−0.99950
−0.99962
−0.99946
−0.99892
−0.99238
−0.99593
−0.99147
0.99786
−0.83399
−0.98183
−0.98926
0.97592
−0.92649
−0.98535
−0.83534
−0.76967
−0.58190
−0.87508
−0.73237
−0.89315
−0.55833
−0.74708
0.90666
−0.77459
−0.76012
−0.84924
−0.91688
−0.13800
−0.87269
−0.24912
−0.56853
σmin,c
(μas)
σmaj,c
(μas)
σR.A.,c
(μas)
σDecl.,c
(μas)
37.4
36.5
38.9
52.4
46.1
40.4
49.2
57.5
106.3
36.0
46.8
38.9
38.4
39.1
40.4
36.7
36.5
40.7
36.4
45.5
58.4
130.2
50.3
65.6
109.8
47.4
53.4
42.4
54.5
48.4
62.4
67.9
46.4
59.3
49.7
53.6
87.1
56.6
61.2
92.4
64.6
65.0
37.0
41.8
36.8
202.0
599.7
1088.7
1542.7
402.2
314.7
343.9
460.8
366.9
327.6
1045.8
293.8
1346.8
1880.9
1750.3
1117.7
874.2
2644.9
433.5
1672.1
777.5
1642.8
159.7
737.0
1322.6
187.8
176.1
227.4
167.5
167.0
224.1
188.4
160.2
212.7
174.9
176.4
246.8
199.1
212.8
234.0
863.6
269.9
245.7
345.5
214.3
188.0
539.0
1039.4
1496.1
383.5
267.3
327.2
438.3
348.7
300.9
959.2
269.0
1138.2
1540.7
1423.9
916.7
714.2
2576.3
418.4
1615.0
767.3
1469.3
154.9
730.0
1299.5
170.1
166.3
219.0
162.7
165.2
223.5
180.6
158.6
208.3
174.4
174.5
236.2
197.4
211.2
226.8
862.5
269.9
243.3
345.4
213.9
82.9
265.5
326.1
380.0
129.5
170.9
116.6
153.4
155.9
134.4
419.2
124.4
721.0
1079.6
1018.7
640.5
505.4
599.9
119.1
435.5
138.4
746.2
63.6
120.5
269.7
92.6
78.7
74.5
67.4
54.4
64.4
86.6
51.5
73.3
51.5
59.3
112.7
62.2
66.4
108.8
77.8
65.0
50.4
42.6
39.1
2
σR.A.,decl.,c
σR.A.,c σdecl.,c
N
LDC
Align
−0.87454
−0.98822
−0.99216
−0.98984
−0.92773
−0.96054
−0.89625
−0.91917
−0.69707
−0.95654
−0.99258
−0.94001
−0.99802
−0.99902
−0.99881
−0.99755
−0.99609
−0.99757
−0.94862
−0.99415
−0.90394
0.98079
−0.57921
−0.83530
−0.91002
0.82524
−0.69648
−0.80654
−0.55440
−0.43543
−0.23406
−0.57602
−0.41807
−0.56296
−0.24707
−0.40507
0.58934
−0.39673
−0.37410
−0.48203
−0.55471
−0.04436
−0.67111
−0.19392
−0.33648
1315
1172
502
208
1872
2094
1344
1237
475
2290
339
513
674
896
503
1346
1413
624
1723
514
1859
1292
2646
2556
1737
3090
2807
4165
2729
3704
2325
2059
4745
2015
2722
3107
3038
2994
2348
1728
1935
2978
2407
2227
3157
1
1
1
1
0
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
Rate
(Hz)
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
50
50
50
Outlier
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
Vol. 140
HJD
2400000.5
MUTERSPAUGH ET AL.
HD
Number
HJD
2400000.5
δR.A.
(mas)
δDecl.
(mas)
σmin
(μas)
σmaj
(μas)
φe
(deg)
σR.A.
(μas)
σDecl.
(μas)
202444
202444
202444
202444
202444
202444
202444
202444
202444
202444
202444
202444
202444
202444
206901
206901
206901
206901
206901
206901
206901
206901
206901
206901
206901
206901
206901
206901
206901
206901
206901
206901
206901
206901
206901
206901
206901
206901
206901
206901
206901
206901
206901
206901
206901
54005.28445
54007.24802
54292.47998
54294.48070
54308.47445
54320.44499
54336.38361
54343.39071
54348.35784
54356.34408
54370.30092
54389.24995
54685.40356
54748.27591
52591.15779
52809.42396
52834.42978
52836.48099
52862.26859
52864.44008
52865.26284
52868.43221
52891.31479
52893.35685
52894.34291
52895.31557
52896.29588
52897.29256
52915.28773
52916.29801
52918.12279
52919.29319
52920.12509
52929.27392
52930.26391
52950.22395
52952.20412
52983.12407
53130.50531
53145.46573
53152.47126
53168.42498
53172.46956
53173.44613
53181.41429
−736.4926
−737.9458
−721.5522
−721.1221
−720.7922
−719.6565
−718.4807
−720.3947
−717.7994
−716.9435
−716.1909
−715.2299
−693.9389
−690.0880
139.4206
176.3281
178.7631
178.2378
179.1249
180.0358
180.3062
179.3846
180.2397
180.8687
181.2303
181.5077
180.7689
180.3940
180.4714
179.8881
181.2809
181.3655
180.8836
181.2991
181.2731
179.7824
180.7615
179.3424
168.6205
168.9519
166.1403
164.7522
162.4897
162.7452
162.9372
−168.3373
−168.5377
−241.3831
−241.8132
−245.4270
−248.4346
−252.4435
−254.5731
−255.5873
−257.4669
−260.9870
−265.7632
−338.7618
−354.5028
−68.9506
−52.8096
−49.4983
−48.6333
−46.6475
−45.8584
−45.0074
−45.8721
−42.5409
−42.7415
−42.0470
−41.4499
−41.3583
−41.7392
−39.4499
−39.7949
−38.7867
−38.3084
−38.2825
−37.9988
−37.3092
−34.3871
−35.0045
−30.6826
−9.8425
−7.4875
−4.9520
−3.8657
−2.9051
−3.3452
−0.9773
22.4
25.6
17.8
19.2
19.4
8.9
9.5
20.6
12.7
10.8
9.3
13.3
12.2
24.5
22.4
8.6
8.3
13.4
5.2
4.9
7.5
3.5
5.0
9.0
4.3
5.8
3.3
2.9
5.7
8.1
9.6
3.6
11.0
9.8
11.9
14.2
14.1
11.5
13.0
29.9
7.3
14.3
2.8
4.3
4.4
200.9
713.1
247.0
196.6
508.3
207.2
206.3
1194.3
133.4
229.5
172.8
243.4
270.4
731.1
338.6
357.0
38.1
379.5
49.4
95.7
116.2
89.2
18.6
313.4
37.8
21.5
11.5
9.7
26.1
329.1
569.7
91.3
768.0
198.4
287.8
845.7
511.9
355.3
575.3
2133.0
136.4
637.2
27.6
108.4
55.9
175.26
172.02
174.08
174.28
3.32
4.73
0.39
6.81
1.40
3.71
2.93
2.83
174.93
6.05
174.63
148.20
158.25
173.84
144.90
1.42
146.66
2.24
172.30
0.77
0.66
173.23
172.05
171.46
179.52
1.79
147.06
2.52
148.32
4.54
2.96
7.01
3.52
5.09
143.15
143.09
146.80
145.84
155.52
21.10
150.65
200.2
706.2
245.7
195.7
507.4
206.5
206.3
1185.9
133.4
229.0
172.6
243.1
269.4
727.1
337.1
303.5
35.5
377.4
40.5
95.7
97.2
89.1
18.5
313.4
37.8
21.4
11.4
9.6
26.1
329.0
478.1
91.2
653.6
197.8
287.4
839.3
510.9
353.9
460.4
1705.5
114.2
527.3
25.2
101.1
48.7
27.8
102.2
31.0
27.3
35.3
19.2
9.6
143.1
13.1
18.3
12.8
17.9
26.8
80.8
38.7
188.3
16.1
42.8
28.7
5.4
64.2
5.0
5.6
9.9
4.3
6.3
3.7
3.2
5.7
13.1
309.9
5.4
403.4
18.5
19.0
104.2
34.5
33.5
345.1
1281.3
74.9
358.0
11.7
39.2
27.6
2
σR.A.,decl.
σR.A. σdecl.
−0.58950
−0.96750
−0.81763
−0.70958
0.83420
0.88543
0.14705
0.98948
0.24680
0.80799
0.68784
0.66939
−0.88884
0.95232
−0.81429
−0.99855
−0.83208
−0.94915
−0.97540
0.43467
−0.99022
0.70400
−0.41389
0.42163
0.10017
−0.37133
−0.39838
−0.41204
−0.03695
0.78564
−0.99931
0.74137
−0.99949
0.84767
0.77841
0.99047
0.91183
0.93894
−0.99890
−0.99958
−0.99313
−0.99884
−0.96478
0.99311
−0.98325
σmin,c
(μas)
σmaj,c
(μas)
σR.A.,c
(μas)
σDecl.,c
(μas)
41.6
43.4
39.3
39.9
40.0
48.7
50.3
85.7
59.6
53.9
49.7
61.5
37.1
42.7
92.0
47.9
47.1
61.8
40.2
39.6
45.1
37.4
39.8
48.9
38.6
41.4
37.2
36.7
41.2
46.6
50.6
37.6
54.5
51.1
57.2
64.3
64.0
56.0
60.5
118.9
44.7
64.6
36.6
38.6
38.8
296.3
937.5
350.3
291.4
675.5
303.6
302.5
1558.9
222.9
329.6
264.7
346.0
378.4
960.7
461.9
484.8
148.5
512.8
154.0
187.3
206.0
181.8
142.1
430.8
148.4
142.8
140.8
140.6
144.1
450.2
753.7
183.5
1008.2
293.5
399.5
1108.3
680.0
482.6
760.9
2776.4
225.9
840.1
144.5
198.6
157.7
295.3
928.5
348.4
290.0
674.3
302.6
302.5
1547.9
222.8
328.9
264.4
345.6
376.9
955.3
460.0
412.8
139.0
509.9
128.1
187.2
173.8
181.7
140.9
430.8
148.4
141.9
139.5
139.1
144.0
449.9
633.2
183.4
858.4
292.6
399.0
1100.0
678.8
480.8
609.9
2221.1
190.6
696.1
132.4
185.8
138.8
48.1
137.1
53.2
49.2
55.9
54.6
50.3
203.5
59.8
57.9
51.5
63.7
49.8
109.8
101.3
258.7
70.3
82.5
94.5
39.9
119.3
38.1
43.8
49.3
38.7
44.4
41.7
41.9
41.2
48.7
412.0
38.4
531.5
56.0
60.7
149.6
76.3
70.3
458.9
1670.1
129.2
474.7
68.5
80.1
84.4
2
σR.A.,decl.,c
σR.A.,c σdecl.,c
N
LDC
Align
−0.49893
−0.94760
−0.67048
−0.57911
0.69716
0.44679
0.03979
0.90551
0.08448
0.35845
0.25351
0.25957
−0.66482
0.92028
−0.40966
−0.97608
−0.69834
−0.65748
−0.85930
0.11110
−0.89394
0.17866
−0.40002
0.11598
0.04121
−0.34712
−0.43461
−0.46430
−0.02692
0.28586
−0.98928
0.20134
−0.99272
0.40225
0.33277
0.90127
0.54227
0.60079
−0.98636
−0.99603
−0.91227
−0.98641
−0.81264
0.85684
−0.85270
3404
1175
2908
3448
1949
3478
2915
1494
2878
3474
3812
2907
2269
1432
149
835
1756
736
3015
1536
2067
2573
1935
939
2171
1568
3320
4804
1315
1054
765
2859
936
707
855
480
562
452
1027
312
2389
709
3600
2831
2322
1
1
1
1
1
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
Rate
(Hz)
50
50
50
50
50
50
50
50
50
50
50
50
50
50
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
Outlier
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
THE PHASES DIFFERENTIAL ASTROMETRY DATA ARCHIVE. I.
HD
Number
No. 6, 2010
Table 4
(Continued)
1615
1616
Table 4
(Continued)
δR.A.
(mas)
206901
206901
206901
206901
206901
206901
206901
206901
206901
206901
206901
206901
206901
206901
206901
206901
206901
206901
206901
206901
206901
206901
206901
206901
206901
206901
206901
206901
206901
206901
206901
206901
206901
206901
206901
206901
206901
206901
206901
206901
206901
207652
207652
207652
207652
53182.41243
53186.42249
53187.40438
53197.36675
53198.39543
53199.40686
53200.41612
53207.41539
53208.36952
53215.32976
53221.39324
53228.30457
53229.29698
53233.24583
53234.27318
53235.28320
53236.24527
53249.22827
53270.23356
53285.23902
53313.11002
53494.50860
53586.36546
53637.29660
53921.45247
53963.35933
53978.32784
53995.24459
54003.32693
54008.31169
54075.12742
54265.40042
54300.44689
54350.31082
54357.29056
54383.21418
54679.41161
54696.35516
54741.24018
54748.22201
54762.18297
53197.45645
53208.37830
53221.37388
53222.43753
162.5235
161.7314
162.1818
159.6345
160.0522
160.6159
159.4855
157.6357
157.5620
156.9976
156.3876
155.6000
156.0966
154.8587
154.9429
155.2381
154.6529
151.8697
148.9027
145.3551
142.2376
104.6070
83.9661
71.2325
24.8756
−9.1868
−14.0826
−17.0642
−22.4853
−21.6045
−38.5877
−84.8151
−92.7572
−104.3619
−106.1244
−111.9102
−172.8035
−176.7584
−184.2790
−186.2535
−187.3707
−133.8768
−132.0981
−130.3666
−130.3333
δDecl.
(mas)
σmin
(μas)
σmaj
(μas)
φe
(deg)
σR.A.
(μas)
σDecl.
(μas)
−0.6682
−0.6717
−0.1174
0.5089
1.0916
1.6193
1.7590
2.4066
2.1611
3.2389
3.9671
5.6295
6.1881
5.5452
6.3996
7.0259
7.2612
8.8392
11.8985
13.9452
18.5970
43.3686
55.9065
62.9288
86.0577
98.3657
99.4668
101.1075
101.1584
102.0985
107.2121
119.9655
122.5645
124.6444
125.6022
126.9752
133.2679
132.9610
134.0046
133.4596
132.5954
81.2102
82.5773
84.1157
84.2283
5.5
6.8
5.2
3.0
2.4
9.4
7.0
7.4
5.7
3.0
3.2
2.7
3.1
9.5
3.1
3.1
6.2
2.9
7.5
5.0
4.1
13.6
2.2
6.3
43.2
6.2
2.7
11.5
10.9
4.6
7.0
8.2
6.4
4.1
6.5
4.6
11.4
11.1
8.5
8.3
15.6
8.5
14.0
8.0
6.8
73.1
88.9
75.5
29.9
21.2
177.6
439.9
101.4
248.5
32.1
46.3
17.1
22.7
804.5
20.8
23.5
42.6
42.4
254.2
79.9
96.9
645.9
11.5
53.5
10260.1
79.3
17.6
514.3
849.6
114.0
183.8
390.0
195.8
121.5
163.6
113.3
57.9
244.3
307.9
333.1
576.8
381.2
78.5
123.3
213.4
150.81
153.55
154.17
149.29
156.02
157.43
29.74
33.07
24.63
151.09
35.67
155.62
152.91
145.13
152.93
154.23
150.03
148.88
160.31
37.54
159.77
143.23
166.51
173.82
160.72
165.54
162.84
159.38
3.09
2.48
3.06
142.94
167.80
167.58
167.26
166.17
168.80
165.65
167.71
168.07
168.19
164.04
25.57
32.79
175.50
63.9
79.6
68.0
25.7
19.4
164.0
382.0
85.1
225.9
28.1
37.7
15.6
20.3
660.0
18.6
21.2
37.1
36.4
239.3
63.4
91.0
517.4
11.2
53.2
9684.6
76.8
16.8
481.4
848.3
113.9
183.5
311.2
191.4
118.7
159.5
110.0
56.8
236.7
300.8
325.9
564.6
366.5
71.0
103.8
212.7
36.0
40.1
33.2
15.5
8.9
68.7
218.3
55.7
103.7
15.7
27.1
7.5
10.7
460.0
9.9
10.6
22.0
22.1
86.0
48.8
33.7
386.8
3.4
8.5
3388.1
20.7
5.8
181.5
47.1
6.7
12.0
235.1
41.9
26.5
36.6
27.4
15.9
61.5
66.1
69.3
119.1
105.1
36.2
67.1
18.1
2
σR.A.,decl.
σR.A. σdecl.
−0.98450
−0.98173
−0.98451
−0.97505
−0.95641
−0.98902
0.99931
0.98740
0.99817
−0.97571
0.98965
−0.91724
−0.94425
−0.99969
−0.93637
−0.94743
−0.94661
−0.98827
−0.99575
0.99161
−0.99156
−0.99904
−0.75101
−0.66479
−0.99991
−0.95158
−0.87053
−0.99770
0.97274
0.73343
0.81544
−0.99904
−0.98783
−0.98705
−0.98337
−0.98521
−0.68026
−0.98236
−0.99128
−0.99255
−0.99100
−0.99644
0.90366
0.99003
−0.92544
σmin,c
(μas)
σmaj,c
(μas)
σR.A.,c
(μas)
σDecl.,c
(μas)
40.8
43.5
40.2
36.8
36.2
50.0
44.0
44.9
41.2
36.8
37.1
36.5
36.9
50.3
36.9
36.9
42.2
36.7
45.1
39.8
38.3
62.4
36.0
42.4
167.8
35.5
35.1
36.8
36.7
35.3
35.7
35.9
35.6
38.3
42.8
39.1
36.8
36.7
36.0
36.0
38.3
47.6
63.7
46.4
43.5
169.2
181.5
171.0
145.3
142.7
270.0
588.8
192.3
352.1
146.1
152.4
141.8
143.1
1055.2
142.6
143.3
150.6
150.5
358.9
174.3
188.3
851.3
140.8
156.3
13338.9
173.9
141.9
683.1
1113.3
203.9
276.9
526.0
290.5
211.1
254.6
203.2
159.0
347.1
424.0
455.1
762.8
515.0
173.2
212.8
310.7
149.1
163.7
154.9
126.3
131.2
250.1
511.7
163.0
320.5
129.1
125.7
130.0
128.5
866.2
128.1
130.0
132.1
130.2
338.2
140.3
177.2
682.9
137.2
155.5
12590.9
168.6
135.9
639.5
1111.7
203.7
276.5
420.3
284.0
206.3
248.5
197.5
156.1
336.4
414.4
445.3
746.7
495.3
158.7
180.7
309.8
89.9
89.8
82.8
80.7
66.7
113.5
294.5
111.5
151.4
77.6
93.8
67.3
73.0
604.7
72.7
70.6
83.6
83.9
128.2
110.8
74.4
512.0
48.0
45.4
4407.1
55.4
53.6
243.0
70.3
36.4
38.6
318.3
70.6
58.8
70.0
61.7
47.5
93.1
96.9
100.4
160.6
148.8
94.3
121.7
49.8
2
σR.A.,decl.,c
σR.A.,c σdecl.,c
N
LDC
Align
−0.85722
−0.84321
−0.84438
−0.85121
−0.80788
−0.87948
0.98514
0.87989
0.95438
−0.84389
0.87788
−0.80659
−0.82613
−0.99486
−0.82497
−0.81728
−0.81817
−0.86276
−0.92757
0.89483
−0.83690
−0.98839
−0.63848
−0.34331
−0.99919
−0.74981
−0.73042
−0.98680
0.85280
0.23537
0.37675
−0.98996
−0.85674
−0.74566
−0.77899
−0.75768
−0.61437
−0.91343
−0.92481
−0.93063
−0.96982
−0.94301
0.67550
0.89360
−0.48039
2407
835
3234
4372
5139
1046
1414
2391
2253
4811
6197
3450
3851
691
4093
2679
1184
4247
1474
3656
3846
702
5532
1639
615
2244
5863
389
1590
2850
1756
3661
3456
5489
5452
5858
1589
1878
2678
2579
1121
1007
1352
2875
1990
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
0
0
0
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
Rate
(Hz)
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
50
100
50
100
50
50
50
50
50
50
50
50
50
50
50
50
50
100
100
100
100
Outlier
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
Vol. 140
HJD
2400000.5
MUTERSPAUGH ET AL.
HD
Number
HJD
2400000.5
δR.A.
(mas)
207652
207652
207652
207652
207652
207652
207652
207652
207652
207652
207652
207652
207652
207652
207652
207652
207652
207652
207652
207652
207652
207652
207652
207652
207652
207652
207652
207652
207652
207652
207652
207652
207652
207652
207652
207652
207652
207652
207652
207652
207652
207652
207652
207652
207652
53235.38748
53242.29037
53249.33920
53263.30482
53271.28256
53272.27909
53284.17716
53285.17291
53312.18733
53313.18134
53340.10789
53544.49033
53552.42931
53578.44813
53586.41630
53606.31027
53607.34935
53613.28991
53614.27712
53620.24356
53639.31674
53909.47841
53915.41682
53916.50872
53958.34819
53964.28411
53965.26136
53970.28910
53971.27626
53977.27336
53979.26824
54004.25001
54006.21622
54055.10631
54250.48384
54273.48711
54285.42022
54320.37597
54321.35550
54336.36273
54341.27437
54349.26104
54356.27856
54370.24774
54763.15991
−128.1930
−127.3840
−125.9704
−124.0721
−123.2069
−122.4090
−121.1109
−120.8239
−116.7492
−116.8817
−113.0726
−81.9289
−80.9221
−77.2454
−75.7361
−72.4123
−72.3787
−71.5268
−71.1540
−70.6217
−69.8895
−25.1811
−24.1394
−23.9195
−17.3136
−16.7308
−16.5547
−15.7220
−15.6794
−14.5286
−13.8536
−9.9478
−9.3107
−2.4938
28.5977
32.2170
33.8562
39.5862
40.0575
42.3585
42.9497
44.1403
45.6029
47.9721
107.5791
δDecl.
(mas)
σmin
(μas)
85.8001
86.6003
87.4362
89.1354
90.1595
90.1623
91.7648
91.9257
95.0140
95.1509
98.4038
122.1372
123.1689
126.1175
126.9855
129.1602
129.3258
129.9927
130.0019
130.8757
132.7556
161.4653
162.0001
162.1643
166.2722
167.0270
167.1254
167.5639
167.7189
168.2311
168.2328
170.7274
170.7578
175.7309
193.1474
195.0610
196.2516
198.8974
198.8870
200.1153
200.5359
201.2312
201.6078
202.6525
228.2302
12.1
22.3
8.2
4.1
8.0
20.7
16.9
10.7
4.4
11.5
8.9
9.1
12.2
22.5
6.5
5.8
9.9
15.6
10.2
16.1
20.8
7.9
15.8
13.5
13.5
33.7
5.6
6.7
12.1
8.7
22.9
16.5
8.7
34.6
19.0
14.2
25.5
11.8
8.9
12.0
17.4
16.3
12.8
32.0
27.8
σmaj
(μas)
241.3
130.9
198.0
87.0
177.9
479.4
142.3
117.8
73.2
220.6
312.1
170.7
72.5
466.7
73.2
39.9
46.8
89.2
87.0
189.3
549.8
82.8
146.1
556.9
110.6
541.3
74.4
60.0
101.1
427.1
269.6
97.8
242.5
656.3
563.7
239.3
191.3
282.0
93.2
133.4
133.0
193.1
113.6
824.9
212.8
φe
(deg)
σR.A.
(μas)
σDecl.
(μas)
171.68
24.69
169.28
170.16
170.13
170.13
26.99
27.12
174.05
174.15
174.65
161.30
152.49
171.70
167.25
155.80
164.01
156.91
154.18
153.20
0.26
158.93
150.18
169.15
159.82
150.87
147.81
155.38
153.62
154.19
153.21
162.39
158.12
164.26
148.52
159.58
153.97
162.62
159.03
167.80
154.87
156.63
162.34
164.25
161.68
238.7
119.3
194.5
85.8
175.3
472.3
127.0
104.9
72.8
219.4
310.7
161.7
64.6
461.8
71.4
36.4
45.1
82.3
78.4
169.2
549.7
77.3
127.0
547.0
103.9
473.1
63.0
54.6
90.7
384.5
240.9
93.4
225.1
631.7
480.8
224.4
172.3
269.2
87.1
130.5
120.7
177.4
108.3
793.9
202.2
36.9
58.3
37.7
15.4
31.5
84.7
66.3
54.5
8.8
25.2
30.4
55.4
35.2
71.0
17.4
17.2
16.0
37.8
39.0
86.6
20.9
30.7
73.9
105.6
40.2
265.2
39.9
25.7
46.2
186.1
123.2
33.5
90.7
181.1
294.8
84.6
87.0
85.0
34.4
30.5
58.7
78.0
36.5
226.0
71.9
2
σR.A.,decl.
σR.A. σdecl.
−0.94315
0.90756
−0.97529
−0.96361
−0.96623
−0.96884
0.95840
0.97529
−0.86435
−0.88879
−0.95618
−0.98479
−0.92074
−0.94719
−0.92283
−0.92833
−0.76585
−0.89401
−0.95665
−0.97802
0.12128
−0.96081
−0.96911
−0.99151
−0.93369
−0.98936
−0.98621
−0.95825
−0.95635
−0.99866
−0.97814
−0.85688
−0.99459
−0.98007
−0.99715
−0.98380
−0.94539
−0.98930
−0.96069
−0.91564
−0.94493
−0.97378
−0.93059
−0.98912
−0.91341
σmin,c
(μas)
σmaj,c
(μas)
σR.A.,c
(μas)
σDecl.,c
(μas)
57.8
91.7
46.9
38.3
46.4
86.1
73.1
53.6
38.8
56.0
48.7
49.2
58.1
92.4
42.8
41.4
51.4
68.8
52.2
70.5
86.4
46.1
69.5
62.1
37.5
48.6
35.4
35.6
37.0
36.1
41.8
38.7
36.1
49.2
39.8
37.8
43.3
56.9
48.7
57.5
74.8
71.1
59.9
126.5
44.7
343.5
220.4
293.0
180.0
270.3
638.8
232.0
207.5
169.3
319.1
429.2
262.4
168.8
622.7
169.3
149.3
152.6
181.8
180.0
283.1
728.3
176.6
236.0
737.4
200.7
717.5
170.2
160.3
192.0
572.6
377.4
189.1
344.9
864.6
746.1
341.1
285.4
392.4
185.1
222.9
222.5
287.4
203.5
1081.5
310.0
340.0
203.8
288.0
177.4
266.5
629.5
209.4
186.3
168.4
317.5
427.4
249.0
152.1
616.3
165.4
137.2
147.4
169.4
163.6
254.7
728.3
165.6
207.6
724.3
188.8
627.2
145.2
146.4
172.8
515.7
337.4
180.6
320.4
832.3
636.6
320.0
257.1
374.9
173.8
218.2
203.9
265.4
194.8
1041.4
294.7
75.8
124.1
71.3
48.7
65.1
138.5
123.8
106.0
42.4
64.5
62.8
96.2
93.4
128.2
56.0
71.9
64.9
95.4
91.4
142.3
86.5
76.7
131.9
151.6
77.7
351.8
95.5
74.2
91.5
251.4
174.2
68.1
132.8
239.3
391.1
124.2
131.1
129.2
80.3
73.3
116.2
131.4
84.1
317.8
106.3
2
σR.A.,decl.,c
σR.A.,c σdecl.,c
N
LDC
Align
−0.63733
0.60218
−0.74402
−0.60264
−0.69097
−0.77596
0.75609
0.82580
−0.39217
−0.48870
−0.62855
−0.84228
−0.72390
−0.68550
−0.62285
−0.77991
−0.57212
−0.63224
−0.77776
−0.83482
0.03767
−0.76749
−0.80094
−0.90890
−0.85817
−0.98744
−0.90047
−0.85079
−0.89328
−0.98723
−0.96325
−0.80363
−0.95632
−0.97691
−0.99285
−0.94596
−0.93043
−0.88744
−0.76381
−0.59876
−0.71202
−0.80995
−0.66753
−0.91053
−0.89679
685
553
1427
4312
2051
639
1007
1818
3685
1295
1458
1309
1269
372
1642
2522
1069
433
760
578
1078
2894
748
868
1083
382
3910
2897
1462
2242
453
1317
1872
500
733
1030
374
1115
1947
919
562
690
951
334
234
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
Rate
(Hz)
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
Outlier
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
THE PHASES DIFFERENTIAL ASTROMETRY DATA ARCHIVE. I.
HD
Number
No. 6, 2010
Table 4
(Continued)
1617
1618
Table 4
(Continued)
δR.A.
(mas)
δDecl.
(mas)
σmin
(μas)
σmaj
(μas)
φe
(deg)
σR.A.
(μas)
σDecl.
(μas)
207652
214850
214850
214850
214850
214850
214850
214850
214850
214850
214850
214850
214850
214850
214850
214850
214850
214850
214850
214850
214850
214850
214850
214850
214850
214850
214850
214850
214850
214850
214850
214850
214850
214850
214850
214850
214850
214850
214850
214850
214850
214850
214850
214850
214850
54769.15275
52929.30989
53199.43265
53214.45293
53222.34762
53228.38604
53234.28734
53249.34575
53251.36251
53263.28708
53271.28405
53272.33767
53284.25772
53291.23760
53313.17667
53558.47353
53572.47237
53699.12563
53915.46401
53921.47505
53922.45053
53923.45395
53928.45512
53972.29694
53977.29227
53986.25515
53991.23821
53992.23683
53996.23681
54004.25476
54006.24651
54008.22793
54009.24001
54272.47261
54278.46198
54280.45627
54286.48156
54287.49296
54299.43856
54301.41509
54308.40973
54315.38540
54320.38497
54341.35276
54349.34561
108.1681
−85.7984
−34.1236
−28.1837
−26.2844
−21.7678
−18.8760
−11.1521
−9.1149
−4.6554
0.1596
−1.5094
4.5993
9.3687
19.9534
124.7631
129.4358
171.5710
230.5831
231.3387
231.9841
232.2589
234.2969
243.6457
244.6056
246.4636
247.7312
248.4780
248.6310
250.8699
251.4713
251.2939
250.7240
301.4287
302.2981
302.5046
303.8200
304.8060
306.0079
306.0451
307.0107
308.4879
309.2132
312.6661
313.8073
228.6971
40.6140
−60.9225
−63.4211
−68.8409
−65.8955
−66.9964
−69.3863
−65.3152
−70.9525
−67.3104
−67.2046
−67.2050
−73.4842
−74.7293
−63.1929
−62.0761
−47.4356
−19.3065
−18.2154
−18.1996
−18.0692
−17.7839
−11.5526
−10.7498
−9.4808
−8.9313
−9.1510
−8.1911
−7.2371
−7.0401
−6.4971
−6.0639
29.1132
30.0087
30.3333
30.9290
30.7331
32.5123
32.9879
34.0340
34.7380
35.4745
38.1674
39.2502
11.0
14.1
18.3
18.2
5.5
7.4
13.2
4.9
21.0
3.3
5.0
27.1
8.7
12.5
5.7
30.2
13.5
36.3
8.3
14.1
7.8
14.1
35.4
6.4
4.7
11.1
22.0
33.0
6.7
11.0
6.4
4.6
9.6
17.7
30.9
20.3
9.3
23.0
27.8
20.3
13.7
15.6
7.1
9.4
7.7
101.6
313.2
1390.8
87.0
74.3
36.1
441.4
28.3
417.5
18.7
29.0
1013.9
102.7
103.0
43.9
204.3
405.5
1209.6
90.2
142.2
68.8
127.2
428.4
89.4
43.1
218.5
243.8
529.7
233.9
162.8
212.7
60.2
398.2
474.6
1252.5
870.7
90.9
359.3
400.2
208.5
244.9
157.0
62.3
86.8
42.1
163.39
4.20
152.99
167.02
149.26
158.04
145.20
161.40
166.81
158.58
162.41
175.25
36.94
162.27
163.11
31.24
37.43
36.35
152.95
160.22
154.68
155.28
157.15
150.49
151.56
149.77
150.06
147.74
150.67
157.93
156.90
154.51
157.25
149.76
150.91
150.78
157.57
162.08
156.73
153.13
155.35
154.61
156.94
162.07
166.16
97.4
312.3
1239.2
84.8
63.9
33.6
362.6
26.8
406.5
17.4
27.7
1010.4
82.3
98.2
42.1
175.4
322.1
974.5
80.5
133.9
62.3
115.7
395.0
77.8
37.9
188.9
211.6
448.3
203.9
150.9
195.6
54.3
367.3
410.1
1094.6
760.0
84.1
342.0
367.8
186.2
222.7
142.0
57.4
82.6
40.9
30.9
26.9
631.8
26.4
38.3
15.1
252.2
10.1
97.4
7.5
10.0
88.2
62.1
33.6
13.9
109.1
246.7
717.5
41.7
49.9
30.3
54.7
169.5
44.4
20.9
110.4
123.2
284.1
114.7
62.0
83.6
26.2
154.3
239.5
609.6
425.4
35.8
112.7
160.1
96.0
102.9
68.8
25.3
28.2
12.5
2
σR.A.,decl.
σR.A. σdecl.
−0.92795
0.85015
−0.99947
−0.70618
−0.98572
−0.85052
−0.99797
−0.86155
−0.97516
−0.88220
−0.85313
−0.95126
0.98459
−0.92004
−0.90357
0.94663
0.99762
0.99802
−0.97488
−0.95419
−0.95840
−0.95888
−0.97397
−0.98604
−0.96752
−0.99322
−0.97861
−0.99056
−0.99777
−0.98141
−0.99650
−0.98062
−0.99774
−0.99634
−0.99831
−0.99850
−0.95951
−0.97671
−0.98201
−0.97140
−0.98928
−0.96822
−0.95222
−0.93639
−0.77680
σmin,c
(μas)
σmaj,c
(μas)
σR.A.,c
(μas)
σDecl.,c
(μas)
36.7
64.0
77.9
77.5
40.8
44.9
61.2
39.6
87.1
37.2
39.8
108.8
48.1
59.0
41.2
120.0
62.1
142.3
47.1
64.0
45.9
37.7
49.8
35.6
35.3
36.7
41.3
48.1
35.6
36.7
35.6
35.3
36.3
39.2
46.7
40.5
36.2
41.9
44.7
40.5
37.6
68.8
44.2
50.0
45.6
192.5
430.6
1813.5
180.0
170.1
147.7
590.7
144.8
560.5
142.1
145.0
1325.5
193.5
193.7
151.2
300.2
545.4
1578.7
182.6
231.9
166.1
216.7
574.2
182.0
150.8
316.7
346.5
702.7
334.8
253.8
309.9
160.4
536.3
632.7
1634.3
1140.5
183.2
487.6
538.8
305.1
347.8
247.5
161.7
179.8
150.3
184.7
429.4
1616.0
176.2
147.7
138.0
486.3
137.8
546.1
133.0
138.7
1321.0
157.3
185.4
145.2
264.1
434.8
1274.3
164.0
219.3
151.4
197.4
529.5
159.3
133.7
274.2
301.0
594.8
292.4
235.6
285.4
145.6
494.7
546.9
1428.3
995.6
169.9
464.1
495.3
272.7
316.5
225.5
149.8
171.8
146.4
65.3
71.2
826.5
85.7
93.7
69.2
340.8
59.5
153.5
62.4
58.0
154.3
122.5
81.5
59.0
186.5
335.2
942.7
93.0
98.9
82.3
96.9
227.7
94.8
78.2
162.6
176.6
377.3
166.9
101.2
125.9
76.0
210.1
320.4
795.6
557.9
77.5
155.2
216.8
142.5
149.0
123.0
75.3
73.0
57.1
2
σR.A.,decl.,c
σR.A.,c σdecl.,c
N
LDC
Align
−0.81073
0.43312
−0.99440
−0.38247
−0.86548
−0.71922
−0.97595
−0.71441
−0.81265
−0.77093
−0.69613
−0.70672
0.87536
−0.65380
−0.68701
0.68196
0.97261
0.98236
−0.82600
−0.72931
−0.79116
−0.90404
−0.97148
−0.90352
−0.86064
−0.96539
−0.96300
−0.98859
−0.96965
−0.92064
−0.95177
−0.85922
−0.98231
−0.98993
−0.99774
−0.99654
−0.86381
−0.95899
−0.97452
−0.94825
−0.96082
−0.78917
−0.77353
−0.69689
−0.57061
875
1210
1066
1022
3649
2912
1175
3439
753
6541
4719
745
3128
1552
4510
510
1543
375
3857
3103
4345
2319
700
5227
7603
2392
1562
1089
5448
2940
5311
6996
3927
1897
796
1176
3756
1562
885
1152
1694
1778
4109
3141
4479
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
Rate
(Hz)
50
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
Outlier
0
0
0
0
1
0
0
0
1
0
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
Vol. 140
HJD
2400000.5
MUTERSPAUGH ET AL.
HD
Number
HJD
2400000.5
δR.A.
(mas)
δDecl.
(mas)
σmin
(μas)
σmaj
(μas)
φe
(deg)
σR.A.
(μas)
σDecl.
(μas)
214850
214850
214850
214850
214850
214850
214850
214850
214850
215182
215182
215182
215182
221673
221673
221673
221673
221673
221673
221673
221673
221673
221673
221673
221673
221673
221673
221673
221673
221673
221673
221673
221673
221673
221673
221673
221673
221673
221673
221673
221673
221673
221673
221673
221673
54357.29628
54376.25470
54385.20924
54426.10562
54713.31324
54740.27892
54763.18334
54769.18268
54794.12643
53199.47142
53235.39101
53250.35168
53341.13206
52862.41340
52863.47102
52864.44442
52865.38748
52867.46329
52868.50300
52891.30989
52893.38611
52894.33540
52895.35912
52896.38533
52897.34630
52915.26425
52916.28479
52918.35122
52919.27980
52929.30328
52930.29591
52951.29151
52952.18546
52979.20973
52983.09470
53173.48472
53181.47785
53182.47712
53186.46492
53187.47920
53197.49019
53198.50084
53200.43538
53207.47422
53208.42692
315.1705
318.2691
319.2450
324.5429
360.3687
362.9611
365.2987
365.8592
368.3490
−14.3227
−8.6744
−9.5047
−18.3176
549.4289
549.2919
549.2326
548.9158
549.6920
549.1984
549.5545
549.5980
548.9453
549.2563
549.3331
549.3711
549.0868
549.2595
549.2852
549.3843
549.3110
549.5447
549.5450
549.6621
549.3397
549.0704
550.0843
550.4844
550.1318
550.5223
550.5175
550.1753
550.1909
550.1017
549.9007
550.1943
40.2712
42.6486
43.9520
49.5298
85.7081
89.1431
91.9101
92.7334
95.6714
−50.7725
−53.1595
−47.4531
−45.3506
−59.1585
−59.1185
−59.0766
−58.9585
−60.0242
−59.2133
−59.7791
−59.6624
−59.6509
−59.6784
−59.6550
−59.6767
−59.9704
−60.0644
−60.1093
−60.0741
−60.3371
−60.1763
−60.7551
−60.9652
−61.3501
−61.2782
−65.6975
−65.2139
−65.0467
−65.2587
−65.4077
−65.3980
−65.4282
−66.0207
−66.2948
−66.0788
10.0
11.0
18.7
29.4
29.3
26.8
12.4
5.4
32.9
30.0
12.3
33.6
14.4
12.9
8.6
2.9
14.1
28.4
4.3
10.7
5.3
8.3
7.6
3.6
6.4
8.0
4.5
2.7
3.6
5.8
4.3
9.4
9.3
7.1
12.5
5.1
4.2
9.8
11.0
8.3
2.0
2.4
2.7
6.4
5.4
80.8
85.8
287.0
1245.5
714.0
238.9
89.2
40.7
432.6
1320.8
70.1
1689.1
171.1
714.5
62.9
11.3
147.0
729.9
99.4
125.4
19.6
29.2
25.4
16.6
23.2
121.2
20.7
17.6
17.7
23.7
21.8
513.2
351.4
253.4
352.7
104.1
92.8
226.9
296.4
171.2
44.9
49.6
11.4
67.2
38.9
159.10
160.95
155.37
159.16
156.75
167.11
158.63
161.91
165.55
161.31
176.49
165.00
165.46
158.14
169.96
166.02
155.01
120.82
1.65
154.89
172.98
160.27
173.18
174.46
167.02
157.33
159.65
178.08
162.79
172.35
174.57
4.93
161.84
4.62
160.94
12.56
148.47
148.55
147.39
150.63
157.62
159.84
24.06
33.40
22.72
75.6
81.2
261.0
1164.1
656.1
233.0
83.2
38.7
418.9
1251.2
70.0
1631.7
165.6
663.2
62.0
11.0
133.4
374.7
99.3
113.6
19.4
27.7
25.2
16.5
22.7
111.9
19.5
17.6
16.9
23.5
21.7
511.3
333.9
252.6
333.4
101.6
79.1
193.6
249.8
149.2
41.6
46.5
10.5
56.2
35.9
30.3
29.9
120.8
443.9
283.2
59.3
34.5
13.7
112.6
424.1
13.0
438.3
45.2
266.3
13.8
3.9
63.4
627.0
5.1
54.1
5.8
12.6
8.1
3.9
8.1
47.3
8.3
2.7
6.3
6.6
4.8
45.1
109.9
21.6
115.8
23.2
48.7
118.7
160.0
84.3
17.2
17.2
5.2
37.4
15.8
2
σR.A.,decl.
σR.A. σdecl.
−0.93593
−0.92161
−0.98546
−0.99748
−0.99366
−0.88665
−0.92288
−0.90838
−0.95335
−0.99721
−0.32050
−0.99684
−0.94423
−0.99864
−0.77782
−0.65394
−0.96962
−0.99611
0.55474
−0.97577
−0.38275
−0.71937
−0.33554
−0.38760
−0.59109
−0.98303
−0.82134
−0.21085
−0.79874
−0.45239
−0.41521
0.97768
−0.99598
0.94347
−0.99344
0.97442
−0.99477
−0.99527
−0.99669
−0.99355
−0.99174
−0.98895
0.83198
0.97868
0.92842
σmin,c
(μas)
σmaj,c
(μas)
σR.A.,c
(μas)
σDecl.,c
(μas)
51.7
54.5
79.2
117.1
45.6
44.1
37.1
35.4
48.0
119.3
58.4
132.4
65.0
60.2
47.9
36.7
64.0
113.5
38.6
53.6
40.4
47.1
45.4
37.6
42.6
46.4
39.0
36.5
37.6
41.4
38.6
50.0
49.7
44.2
59.0
40.0
38.5
51.1
54.5
47.1
35.8
36.2
36.5
42.6
40.6
175.0
179.0
398.5
1625.2
938.7
340.7
181.8
149.7
579.5
1722.7
167.0
2200.3
262.8
939.3
162.1
140.8
236.9
959.1
190.5
214.9
142.3
145.1
143.8
141.7
143.2
210.8
142.6
141.9
141.9
143.4
142.8
681.7
477.8
357.9
479.4
194.7
184.8
326.5
410.0
262.9
151.7
154.1
140.8
165.0
148.9
164.5
170.1
363.7
1519.4
862.7
332.2
169.8
142.7
561.3
1632.3
166.8
2125.6
254.9
872.1
159.9
136.9
216.4
501.0
190.4
195.9
141.3
137.5
142.9
141.0
139.9
195.3
134.3
141.8
136.0
142.2
142.2
679.2
454.3
356.8
453.5
190.3
158.8
279.8
346.6
230.3
140.9
145.2
129.4
139.8
138.2
78.9
77.9
181.0
588.4
372.9
87.3
74.7
57.4
151.9
563.5
59.2
583.7
91.1
354.2
55.0
49.2
115.7
825.7
39.0
103.3
43.7
66.1
48.2
39.8
52.5
91.8
61.6
36.8
55.2
45.2
40.8
76.9
156.2
52.6
166.2
57.6
102.1
175.8
225.7
135.3
66.6
63.0
66.4
97.6
68.6
2
σR.A.,decl.,c
σR.A.,c σdecl.,c
N
LDC
Align
−0.71771
−0.67666
−0.87759
−0.97709
−0.99109
−0.85553
−0.84680
−0.76223
−0.94521
−0.97474
−0.15168
−0.97204
−0.67833
−0.98308
−0.46866
−0.64239
−0.79575
−0.96478
0.13488
−0.82195
−0.36579
−0.65856
−0.31899
−0.31912
−0.55680
−0.83849
−0.74121
−0.12074
−0.70434
−0.38660
−0.30727
0.75764
−0.94227
0.53927
−0.92691
0.70335
−0.89866
−0.94074
−0.95830
−0.91762
−0.81528
−0.79326
0.80154
0.85668
0.77082
3785
3054
1806
754
705
688
1374
5155
722
2307
4739
1632
6749
782
708
6123
968
834
1333
970
2323
1541
1518
3555
2267
1922
5027
4616
4140
1503
3473
688
858
1596
1157
2425
2091
2260
378
2126
5990
6530
7666
3228
3512
0
0
0
0
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
Rate
(Hz)
50
50
50
50
50
50
50
50
50
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
Outlier
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
THE PHASES DIFFERENTIAL ASTROMETRY DATA ARCHIVE. I.
HD
Number
No. 6, 2010
Table 4
(Continued)
1619
1620
Table 4
(Continued)
221673
221673
221673
221673
221673
221673
221673
221673
221673
221673
221673
221673
221673
221673
221673
221673
221673
221673
221673
221673
221673
221673
221673
221673
221673
221673
221673
221673
221673
221673
221673
221673
221673
221673
221673
221673
221673
221673
221673
221673
221673
221673
221673
221673
221673
53214.47246
53215.44040
53221.48070
53228.38579
53229.42358
53234.46422
53235.42219
53236.43069
53242.31297
53243.31094
53249.42642
53250.38253
53251.45045
53263.35701
53270.31676
53271.34096
53272.35697
53284.29576
53294.19718
53312.24114
53341.16609
53557.50429
53571.46204
53605.48331
53606.47795
53607.46900
53613.46276
53614.46039
53620.41852
53621.41100
53632.28961
53636.27235
53637.29322
53638.33555
53648.31722
53655.33875
53656.33367
53712.13247
53914.48372
53929.43482
53930.43636
53935.43080
53936.42395
53937.43272
53949.39037
δR.A.
(mas)
550.4298
550.1716
550.0917
550.6584
550.2706
550.6167
550.3449
550.4971
550.0230
549.7876
550.4547
550.5730
549.1802
550.4810
550.6152
550.6568
550.7969
550.0727
551.3057
550.4505
551.1716
548.8653
551.0010
550.8475
550.9714
550.7180
550.8423
551.1958
551.2319
551.3038
551.2917
551.1164
551.2846
551.2646
551.4661
550.7180
552.0201
551.9463
551.8130
551.8314
551.9096
553.3732
551.9311
551.9178
551.0453
δDecl.
(mas)
σmin
(μas)
σmaj
(μas)
φe
(deg)
σR.A.
(μas)
σDecl.
(μas)
−65.6234
−65.6325
−66.5736
−66.1699
−65.9502
−66.1891
−66.1579
−66.2728
−66.6882
−66.7023
−66.4007
−66.5028
−66.5891
−66.6103
−66.7473
−66.7652
−66.8644
−67.6204
−67.7952
−67.4818
−68.1655
−70.9760
−72.2548
−73.1599
−73.1236
−73.1690
−73.2931
−73.2973
−73.3194
−72.9044
−73.6416
−73.6035
−73.6352
−73.3866
−73.9306
−73.9970
−74.0009
−74.2856
−78.5447
−78.8102
−78.8448
−79.7331
−79.0137
−78.9330
−78.6201
9.2
4.2
5.8
4.6
3.9
3.2
3.8
6.4
4.8
6.3
2.2
4.5
18.7
2.4
13.8
2.4
7.6
7.6
15.1
1.7
3.2
34.7
3.8
2.3
2.5
2.5
3.2
4.8
3.2
29.5
8.6
2.6
5.4
16.2
15.7
5.0
12.7
32.7
3.1
6.4
5.5
5.2
4.7
2.4
9.5
290.6
42.7
227.5
224.7
70.7
14.9
13.1
23.9
23.4
45.9
10.7
15.3
812.1
9.0
125.6
9.8
55.2
80.6
899.1
7.9
19.4
2311.5
22.2
60.1
68.3
128.8
81.0
126.8
27.5
1209.0
155.4
29.0
24.2
808.2
77.9
121.1
386.1
876.9
59.6
84.9
70.9
79.0
56.3
57.7
275.1
162.94
157.36
38.06
152.99
162.59
179.37
161.46
169.38
14.35
13.02
171.04
167.50
0.52
167.99
157.48
171.28
166.25
34.68
151.47
175.41
170.58
157.60
162.32
0.80
0.20
179.12
1.08
0.96
177.10
41.57
154.09
152.96
163.61
36.98
171.44
178.77
179.79
37.57
150.39
147.91
149.19
151.00
149.90
151.64
150.30
277.8
39.5
179.1
200.2
67.5
14.9
12.4
23.5
22.7
44.8
10.6
14.9
812.1
8.8
116.2
9.7
53.7
66.4
789.9
7.9
19.2
2137.1
21.1
60.1
68.3
128.8
81.0
126.8
27.4
904.7
139.8
25.8
23.3
645.7
77.0
121.0
386.1
695.2
51.9
72.0
61.0
69.2
48.8
50.8
239.0
85.7
16.9
140.3
102.1
21.5
3.2
5.5
7.7
7.5
12.0
2.7
5.5
20.1
3.0
49.8
2.8
15.0
46.3
429.7
1.8
4.5
881.4
7.7
2.4
2.5
3.2
3.6
5.3
3.5
802.5
68.3
13.4
8.6
486.4
19.4
5.7
12.8
535.3
29.6
45.4
36.6
38.6
28.5
27.5
136.5
2
σR.A.,decl.
σR.A. σdecl.
−0.99370
−0.96245
0.99863
−0.99875
−0.98183
−0.04800
−0.68764
−0.53396
0.74431
0.84520
−0.58625
−0.55162
0.36563
−0.58360
−0.95375
−0.49347
−0.85560
0.97970
−0.99919
−0.32459
−0.68551
−0.99909
−0.85188
0.34815
0.09257
−0.61707
0.42838
0.40252
−0.39330
0.99879
−0.99016
−0.97649
−0.75819
0.99913
−0.57355
−0.45936
−0.11179
0.99703
−0.99269
−0.98626
−0.98477
−0.98789
−0.98204
−0.99495
−0.99681
σmin,c
(μas)
σmaj,c
(μas)
σR.A.,c
(μas)
σDecl.,c
(μas)
49.5
38.5
41.4
39.1
38.0
37.1
37.9
42.6
39.5
42.4
36.0
39.0
79.2
36.2
63.0
36.2
45.4
45.4
67.2
35.6
37.1
136.4
37.9
36.1
36.3
36.3
37.1
39.5
37.1
117.4
47.9
36.4
40.6
70.8
69.2
39.8
59.6
129.1
36.9
35.6
40.8
35.4
35.3
36.2
36.3
402.9
150.6
327.2
323.9
167.5
141.3
141.0
143.4
143.3
152.2
140.7
141.4
1065.0
140.5
215.1
140.6
157.3
174.9
1177.2
140.4
142.3
3008.2
142.9
160.3
165.8
218.3
175.2
216.3
144.5
1577.9
245.8
145.0
143.5
1059.9
172.8
210.7
521.1
1148.5
160.0
178.3
167.6
173.6
158.0
158.8
384.1
385.4
139.8
258.9
289.1
160.2
141.3
134.3
141.2
139.1
148.6
139.1
138.3
1064.9
137.6
200.1
139.1
153.2
146.1
1034.7
140.0
140.5
2781.7
136.7
160.3
165.8
218.2
175.2
216.2
144.3
1183.1
222.1
130.2
138.1
847.8
171.2
210.6
521.1
913.7
140.3
152.2
145.5
152.8
137.8
140.8
334.1
127.3
68.0
204.3
151.2
61.9
37.1
57.4
49.5
52.2
53.7
41.8
48.8
79.8
45.9
100.9
41.6
57.8
106.3
565.3
37.2
43.3
1153.3
56.4
36.1
36.3
36.4
37.2
39.6
37.7
1050.7
115.7
73.4
56.2
640.1
73.1
40.1
59.6
707.7
85.3
99.4
92.7
89.7
84.9
81.9
192.9
2
σR.A.,decl.,c
σR.A.,c σdecl.,c
N
LDC
Align
Rate
(Hz)
Outlier
−0.91379
−0.79267
0.96672
−0.95705
−0.76642
−0.03903
−0.72150
−0.48571
0.62728
0.58782
−0.49002
−0.57830
0.12045
−0.59388
−0.74093
−0.47779
−0.59163
0.85953
−0.99081
−0.28241
−0.50032
−0.99178
−0.71263
0.05880
0.01519
−0.08951
0.08481
0.08839
−0.18105
0.98883
−0.88894
−0.83420
−0.66100
0.99039
−0.29502
−0.10882
−0.03160
0.97336
−0.86971
−0.90786
−0.86217
−0.89391
−0.87906
−0.86706
−0.97636
1433
3208
1722
1590
2676
3304
1997
2366
4848
3605
4940
3012
531
4619
636
4872
2815
1246
1164
6680
4955
397
3440
4938
4234
3439
3235
2679
4006
570
1813
4562
2444
586
216
1277
1192
315
5235
2663
3229
4371
4141
5496
691
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
1
1
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
50
50
50
50
50
50 & 100
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
Vol. 140
HJD
2400000.5
MUTERSPAUGH ET AL.
HD
Number
No. 6, 2010
Table 4
(Continued)
HJD
2400000.5
δR.A.
(mas)
δDecl.
(mas)
σmin
(μas)
σmaj
(μas)
φe
(deg)
σR.A.
(μas)
σDecl.
(μas)
221673
221673
221673
221673
221673
221673
221673
221673
221673
221673
221673
221673
221673
221673
221673
221673
221673
221673
221673
221673
221673
221673
222842
224930
224930
224930
224930
53951.38665
53956.35084
53957.34458
53958.38759
53964.33245
53965.32670
53986.27129
53991.28888
54005.20826
54007.21609
54029.19479
54279.48952
54285.49505
54300.41432
54350.34574
54376.24276
54653.45217
54678.38762
54741.26504
54748.24700
54762.20752
54776.17063
54343.42036
53243.35715
53687.21451
53699.10666
54376.37317
551.7626
551.7124
551.6692
551.8129
552.1755
551.4894
552.1597
551.8293
552.7337
552.3667
552.4126
552.4951
552.9978
552.1334
552.8836
552.5559
553.6985
553.0523
553.9814
552.7592
553.1224
554.0054
−770.8249
−615.0169
−732.3355
−745.6906
−840.3871
−79.1717
−79.1795
−79.1902
−79.2895
−79.5331
−79.1123
−79.8650
−79.7872
−80.5138
−80.2662
−80.5909
−85.0218
−85.3929
−85.1757
−86.3918
−86.5712
−92.1632
−92.2873
−93.8159
−93.2839
−93.7379
−94.3155
139.0081
−480.7104
−366.6561
−368.9391
−218.3862
4.7
5.6
5.5
3.6
19.2
4.9
6.3
13.9
17.9
4.8
15.0
3.8
14.1
6.4
4.3
5.1
24.0
13.4
9.9
19.0
25.2
36.5
42.7
26.0
22.2
18.0
26.2
64.3
190.3
254.3
27.8
820.2
201.2
109.4
217.3
1173.3
235.0
131.5
87.2
372.7
256.8
131.5
215.2
2079.0
732.2
539.5
1071.7
1864.2
391.2
1642.4
885.7
130.1
224.3
419.5
150.67
146.46
145.98
156.17
146.70
146.25
146.83
151.89
144.70
146.27
152.99
151.03
154.55
147.43
159.08
153.05
148.10
148.58
157.03
157.43
156.99
157.92
169.94
21.70
33.37
19.70
175.80
56.1
158.7
210.8
25.5
685.6
167.3
91.6
191.7
957.7
195.5
117.3
76.3
336.6
216.4
122.8
191.8
1765.2
624.9
496.7
989.6
1715.9
362.8
1617.2
823.0
109.3
211.3
418.4
31.7
105.3
142.3
11.7
450.7
111.8
60.1
103.1
678.1
130.6
61.2
42.4
160.7
138.4
47.1
97.6
1098.8
381.9
210.7
411.8
729.1
150.9
289.9
328.3
73.9
77.5
40.3
2
σR.A.,decl.
σR.A. σdecl.
−0.98519
−0.99795
−0.99890
−0.94184
−0.99870
−0.99863
−0.99205
−0.98825
−0.99948
−0.99900
−0.96157
−0.99471
−0.99526
−0.99849
−0.99530
−0.99828
−0.99967
−0.99915
−0.99870
−0.99875
−0.99929
−0.96536
−0.98874
0.99637
0.93384
0.96910
−0.75862
σmin,c
(μas)
σmaj,c
(μas)
σR.A.,c
(μas)
σDecl.,c
(μas)
35.3
35.4
35.4
35.2
39.9
35.3
35.6
37.7
39.3
35.3
38.1
35.2
37.7
35.6
38.6
40.0
42.4
37.5
36.4
39.8
43.1
50.6
166.0
104.8
91.3
76.8
105.5
163.1
284.3
359.0
144.6
1075.4
296.7
199.6
315.3
1531.7
336.1
221.0
180.1
504.3
362.0
221.0
312.8
2706.3
962.1
715.2
1400.2
2427.5
527.5
2139.7
1159.9
219.6
323.5
563.0
143.2
237.7
298.2
133.0
899.1
247.5
168.2
278.7
1250.3
280.2
197.6
158.5
455.7
305.7
206.9
279.5
2297.7
821.3
658.6
1293.1
2234.4
489.2
2107.0
1078.4
190.1
305.6
561.6
85.6
159.8
203.0
66.7
591.4
167.4
113.2
152.2
885.7
188.9
105.9
92.5
219.4
197.2
86.8
146.2
1430.6
502.6
281.1
538.7
949.7
203.7
407.9
439.8
142.8
130.8
113.0
2
σR.A.,decl.,c
σR.A.,c σdecl.,c
N
LDC
Align
−0.88280
−0.96420
−0.97768
−0.81928
−0.99673
−0.96745
−0.92788
−0.96002
−0.99852
−0.97452
−0.91567
−0.90169
−0.98171
−0.97690
−0.87967
−0.95192
−0.99939
−0.99618
−0.99008
−0.99679
−0.99878
−0.96352
−0.91063
0.96658
0.67433
0.78345
−0.35194
3771
3394
2587
3409
849
2373
2201
918
998
2115
1045
5095
375
2442
4633
2996
707
1147
1599
933
498
484
5312
624
1275
1466
785
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
0
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
1
Rate
(Hz)
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
50
100
100
100
50
Outlier
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
Notes. All quantities are in the ICRS 2000.0 reference frame. The uncertainty values presented in Columns 5–10 have not been rescaled, whereas the values in Columns 11–15 have been scaled according to the
correction formula presented in Section 4. Column 1 is the star’s HD catalog number. Column 2 is the heliocentric modified Julian date. Columns 3 and 4 are the differential right ascension and declination between
A and B, in milli-arcseconds. Columns 5 and 6 are the formal 1σ uncertainties in the minor and major axes of the measurement uncertainty ellipse, in microarcseconds. Column 7, φe , is the angle between the major
axis of the uncertainty ellipse and the right ascension axis, measured from increasing differential right ascension through increasing differential declination (the position angle of the uncertainty ellipse’s orientation is
90 − φe ); this is to be used with either Columns 5 and 6 or Columns 11 and 12—the uncertainty scaling operates on the ellipse major and minor axes, and thus does not change the ellipse’s rotation angle. Columns 8
and 9 are the projected formal uncertainties in the right ascension and declination axis, in micro-arcseconds, while Column 10 is the covariance between these. Columns 11 and 12 are the rescaled 1σ uncertainties in
the minor and major axes of the measurement uncertainty ellipse, in microarcseconds. Columns 13 and 14 are the projected rescaled uncertainties in the right ascension and declination axis, in microarcseconds, while
Column 15 is the covariance between these. Column 16 is the number of scans taken during a given night. Column 17 is 1 if the longitudinal dispersion compensator was in use, 0 otherwise. Column 18 is 1 if the
autoaligner was in use, 0 otherwise. Column 19 represents the tracking frequency of the phase-referencing camera. Column 20 is 0 if the measurement is consistent with the other measures, 1 if a fringe ambiguity is
suspected (the measurement is in error by ∼4 mas), and 2 if it is a significant outlier but not of the fringe ambiguity variety.
THE PHASES DIFFERENTIAL ASTROMETRY DATA ARCHIVE. I.
HD
Number
(This table is also available in machine-readable and Virtual Observatory (VO) forms in the online journal.)
1621
1622
MUTERSPAUGH ET AL.
Table 5
Keck AO Differential Photometry Measurements
HD
HJD 2453227.5
Filter
Δm
σ
5286
6811
13872
17904
17904
40932
41116
44926
137107
140436
165908
165908
171745
171745
171779
171779
176051
176051
196524
196867
202275
206901
207652
213973
221673
0.49
0.49
0.50
0.51
0.54
0.63
0.64
0.64
0.33
0.35
0.40
0.40
0.40
0.41
0.42
0.42
0.43
0.43
0.46
0.46
0.47
0.44
0.48
0.44
0.45
H2
H2
H2
Kp
H2
H2
H2
H2
Kp
Kp
H2
Kp
Kp
H2
Kp
H2
H2
Kp
H2
H2
H2
H2
Kp
Kp
H2
0.442
1.426
0.137
1.218
1.206
0.002
2.043
0.215
0.185
0.936
2.063
1.909
0.278
0.272
0.167
0.163
1.308
1.235
1.096
1.587
0.066
0.188
0.740
0.293
0.570
0.002
0.002
0.002
0.003
0.003
0.005
0.008
0.004
0.001
0.001
0.002
0.001
0.001
0.001
0.002
0.003
0.001
0.001
0.002
0.004
0.004
0.001
0.004
0.003
0.003
Notes. Column 1 is the star’s HD catalog number. Column 2 is the heliocentric
Julian date offset by the day of observations. Column 3 is the filter used during
the observation (Kp or H2 ). Columns 5 and 6 are the differential photometry
and uncertainty measurements in units of magnitudes.
Though it has no impact on the current study, as an astrometry team we could not resist pointing out that—due to precession—PHASES target HD 149630 (σ Her) was the pole star
around 8250 BC. PHASES benefits from the efforts of the PTI
collaboration members who have each contributed to the development of an extremely reliable observational instrument. Without this outstanding engineering effort to produce a solid foundation, advanced phase-referencing techniques would not have
been possible. We thank PTI’s night assistant Kevin Rykoski
for his efforts to maintain PTI in excellent condition and operating PTI in phase-referencing mode every week. Part of the
work described in this paper was performed at the Jet Propulsion Laboratory under contract with the National Aeronautics
and Space Administration. Interferometer data were obtained
at the Palomar Observatory with the NASA Palomar Testbed
Interferometer, supported by NASA contracts to the Jet Propulsion Laboratory. This publication makes use of data products
from the Two Micron All Sky Survey, which is a joint project
Vol. 140
of the University of Massachusetts and the Infrared Processing
and Analysis Center/California Institute of Technology, funded
by the National Aeronautics and Space Administration and the
National Science Foundation. This research has made use of the
Simbad database, operated at CDS, Strasbourg, France. M.W.M.
acknowledges support from the Townes Fellowship Program,
Tennessee State University, and the state of Tennessee through
its Centers of Excellence program. Some of the software used
for analysis was developed as part of the SIM Double Blind Test
with support from NASA contract NAS7-03001 (JPL 1336910).
PHASES is funded in part by the California Institute of Technology Astronomy Department, and by the National Aeronautics
and Space Administration under grant no. NNG05GJ58G issued
through the Terrestrial Planet Finder Foundation Science Program. This work was supported in part by the National Science
Foundation through grants AST 0300096, AST 0507590, and
AST 0505366. M.K. is supported by the Foundation for Polish
Science through a FOCUS grant and fellowship, by the Polish
Ministry of Science and Higher Education through grant N203
3020 35.
Facilities: PO:PTI, Keck:I
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