Is this a variable star?

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Waiting and watching: Results from seven years of observing the field of open star cluster M

23

Jeff Wilkerson

Luther College

RAC

July 13, 2010

What We Do

We image 3 clusters per year: M23 and two others

Image durations: 2 to 12 seconds, unfiltered

Campaign durations: 5 to 7 months

Return to a cluster at least once

BVRI photometry at least once for color correction to magnitude conversion and knowledge of variable star colors

Result: tens of thousands of images per cluster per year

Equipment: 12” Meade Schmidt-Cassegrain;

Apogee AP6E camera; SBIG STL-1001E camera

How did we get here? What are our goals?

Our Observational Goals:

I. Brief changes in apparent stellar flux

Occultation and microlensing events

Flare stars

II. Very long timescale changes in stellar luminosity

Luminosity stability

Solar-like cycles 6

Low-amplitude, ultra-long period pulsation

III. Traditional Stellar Variability

Surveys of new variable stars

Locate detached and semi-detached eclipsing binaries in clusters 1

Locate contact eclipsing binaries in clusters 2

Period/amplitude variations in contact systems 3

Period-to-period variability in long period variables

Search for cataclysmic variables in clusters 4

Search for transiting planets 5

Rotating variable star periods in young clusters 7

4.

5.

6.

7.

1.

2.

3.

Wyithe, J.S.B, and Wilson, R.E. 2002, ApJ, 571, 293

Rucinski, S.M. 1998, AJ, 116, 2998

Paczynski, B., et al. 2006, MNRAS, 368, 1311

Mochejska, B.J., et al. 2004, AJ, 128, 312

Mochejska, B.J., and Stanek, K.Z. 2006, AJ, 131,1090

Lockwood G.W., et al. 1997 ApJ, 485, 780-811

Herbst W. and Mundt R., 2005, ApJ, 633, 967-985

SkyandTelescope.com -

News Blog - A KBO in the

Crosshairs

Posted By Kelly Beatty, June 29, 2010

All images acquired with a

12” Meade LX200 and

Apogee AP6E camera or

SBIG STL-1001E camera

Student Participation:

Ujjwal Joshi

Nathan Rengstorf

Andrea Schiefelbein

Todd Brown

Brajesh Lacoul

Kari Frank

Alex Nugent

Drew Doescher

Alex Sperry

Robyn Siedschlag

Siri Thompson

Matt Fitzgerald

Heather Lehmann

Amalia Anderson

Hilary Teslow

Steve Dignan

Kirsten Strandjord

Donald Lee-Brown

Zebadiah Howes

Buena Vista

Univ.

Travis DeJong

Dordt College

Forrest Bishop

Decorah High

School

Support: Roy J. Carver Charitable Trust (Grant #00-50)

Luther College

R.J. McElroy Trust/Iowa College Foundation

OUR M23 DATA SETS

Duration (s) # Nights Total Images

3.5

25 45,000

Date Range

19 June 2003 – 8 Sep. 2003

2.5

5.0

2.8

3.5

3.5

3.5

49

53

20

37

45

~30

45,000

49,000

91,000

82,000

50,000

~32,000

23 June 2005 – 30 Aug. 2005

28 Mar. 2006 – 25 Sep. 2006

9 Mar. 2007 – 27 Sep. 2007

3 Mar. 2008 – 16 Sep. 2008

11 Mar. 2009 – 17 Sep. 2009

24 Feb. 2010 – present

From http://rst.gsfc.nasa.gov/Sect20/sun_mw+.jpg

DATA PROCESSING

1.

CALIBRATION

• Dark Noise Correction

• Flat Fielding

2.

ALIGNMENT

• Use a single frame for entire data set

3.

STAR ID & EXTRACTION

• Aperture photometry for signal determination

• 256 Background regions

4.

INTRA-NIGHT NORMALIZATION

5.

INTER-NIGHT NORMALIZATION

6.

MAGNITUDE CONVERSION

All Analysis done with code developed in IDL

Frame Normalization

1. Identify four reference images from throughout the night

2. Calculate average flux for each star in all four frames – this is the reference signal

3. Determine the signal of each star in the frame to be normalized – this is the sample signal

4. Calculate (ref. signal/sample signal) for each star

5. Normalization factor = median of all ratios in (4)

Types of Variable Stars

Pulsating (e.g., Mira, b

Cephei, d

Cephei, d

Scuti, RR

Lyrae, a

Cygni)

• Eclipsing (e.g., W UMa, Algol–type, b

Lyrae)

• Cataclysmic

• Rotating

From Contemporary Activities in Astronomy, 2 nd ed.

by Hoff and

Wilkerson, Kendall-Hunt, 2003

We have identified 7 eclipsing binary systems in the field; they have periods ranging from 5 hours to several days.

From Variable Stars by M. Petit, Wiley and Sons, 1987

Miras have been better studied than SRs but still not well understood

We see mostly SR and Mira stars

In the GCVS SR and

Mira stars are about equally common

From Mattei & Foster and Aslan & Yeśilyaprak in Variable Stars as

Essential Astrophysical Tools (2000)

Is this a variable star?

We search for correlation in the signal using a modified f-test.

Define : f = variance of full data set/variance of consecutive night differences

81 times we have data on a night when we had data the previous night

Restrict our work to stars that appeared in our data at least 50% of the time 1566 stars .

Compute f for stars in chunks of ~100 stars of similar brightness; define f-stat = (fm

)/ s

169 stars have f-stat >2.0;

95 have f-stat >3.0;

58 have f-stat >4.0;

38 have f-stat > 5.0

Many more semi-regular than Mira stars; perhaps a break in the distribution.

The LPV stars are red, as expected.

CONCLUSION

At least 50 to 100 (3 to 6%) of the stars in our field are classically variable.

SR stars outnumber Miras by a large margin.

The distribution of periods might be bi-modal.

Stars with secular variations in measured signal appear to have gotten brighter more commonly than dimmer. Results are uncertain.

Need better color measures and spectra. Need to monitor the field for several more years to understand secular variations and changes in our variable stars.

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