European Space Operations Centre Rosetta. Quick Mission re-Design of Europe’s comet chaser ATA, Barcelona, July, 2004 J. Rodriguez-Canabal, ESA, OPS-GA Page: 1 Contents Rosetta, Comets, and Space Missions Rosetta Original Mission. Spacecraft and Payload Re-design of New Mission Launch with Ariane 5 Gravity Assists. Optimization and models. Trajectory description. Navigation. Fly-by of Lutetia and Steins. Approaching 67P/ChuryumovGerasimenko Landing of Philae Page: 2 Rosetta ESA-Cornerstone In November 1993, ESA’s approved Rosetta as a cornerstone mission in ESA’s Horizon 2000 Science Programme. Rosetta will be the first mission : To orbit a comet nucleus. To fly alongside a comet as it heads closer to the Sun. To observe from very close proximity how the frozen comet nucleus is transformed by the heat of the Sun. To send a Lander for controlled touchdown on the comet nucleus surface. To obtain images from a comet’s surface and to perform in-situ analysis To fly near Jupiter’s orbit using solar cells asPage: 3 In situ measurements Page: 4 Why the name Rosetta? The Rosetta stone (1799) was the key to deciphering the old hieroglyphics writing of ancient Egypt. Decree to honour Ptolemy V (210-180 BC) Obelisk from Island of Philae (1815) Page: 5 Why to go to a comet? Comets have always attracted the attention of mankind. The apparitions are recorded in documents going back millennia. Comets appear suddenly and have been interpreted as good signs or as bad omens announcing great disgraces. Battle of Hastings (1066 AD) Page: 6 Why to go to a comet? (2) Are comet dangerous for us?. What happens if a comet hit the Earth?. Dinosaurs extinction event Chicxulub impact crater in Yucatan (discovered 1991). We cannot do too much about it ! Meteor Page: 7 Why to go to a comet? (3) A comet is a celestial body originating very far away from the Sun Oort cloud, far beyond Pluto (50000 AU) Kuiper Belt, beyondofNeptune ( 30-100 AU) nucleus composed ice, dust, of a size between a few hundred m up to a few km. Carbon compounds. Near the Sun it develops a coma ( 100000 km), and tails (dust, ion) several Mkm Page: 8 Why to go to a comet? (4) Scientist wants to study comets because these are what is left of the “primitive cloud”. They are time capsules preserving the physical and chemical conditions that existed when the planets were formed 4.5 billions of years ago. Comets could have provided water and organic material to the Earth. Comets can help to understand conditions of formation of the solar system Page: 9 Space Missions to Comets To Halley Giotto, 1986, 600 km, 68 km/s and comet Grigg-Skjellerup, 1992, 200 km. (ESA) VEGA-1 & VEGA-2, 9000 km, 78 km/s1986. (RUS) Sakigake & Suisei, 7 Giott Mkm, 150000 o km,1986.VEG (JAP) A Page: 10 Space Missions to Comets (2) Halley nucleus was full of surprises (size, albedo 0.03, jet activity) Giott o Page: 11 Space Missions to Comets (3) ISEE-C/ICE to comet Giacobini-Zinner, 1985, NASA, 8000 km Deep Space, 2001, comet Borrelli Star Dust comet Wild-2, 2004, 240 km, 2.6 AU Page: 12 Rosetta Ready for Launch Jan 2003 Launch Jan. 2003 with Ariane 5 G+ using EPS delay ignition. Use of 3 Gravity Assists (Mars-Earth-Earth). Fly-by of 2 asteroids: Siwa and Otawara. Large distance from Sun, 5.3 AU, and from Earth for long periods. Arrival at Wirtanen on Dec. 2011. Orbiting around the comet nucleus for 1.5 years (up to perihelion) Fully optimised for the mission to Wirtanen fixed: Max. min. distances to Sun. (0.9 AU – 5.3 AU) Page: 13 Propellant (660 kg of MMH. 1030 kg of NTO) Spacecraft Wet launch mass 3064 kg Solar power (300 W-8 kW) 24 x 10 N bipropellant thrusters 2 Navigation cameras, 2 Star trackers, 4 Sun sensors, 9 Laser gyroscopes, 9 accelerometers HGA of 2.2 m, MGA, LGA, S-X band Data storage 20Gbits. Page: 14 Scientific Payload Remote Sensing OSIRIS (Optical, Spectroscopic and Infrared Remote Imaging System) Wide and Narrow angle camera. ALICE (UV spectrometer) Analyses gases in the coma and tail. Production rates of water and CO and CO2. Comet surface. VIRTIS (Visible and IR Thermal Imaging Spectrometer). Maps solids and temperature of comet surface. MIRO (microwave Instrument). Abundance of major gases, surface outgassing rate, nucleus subsurface temperature. Composition Analysis ROSINA (RO Spectrometer for Ion and Neutral Analysis) Composition of atmosphere and ionosphere, velocities of charged particles, and reaction between them. COSIMA (Cometary Secondary Ion Mass Analyser). Dust grains characteristics MIDAS (Micro-Imaging Dust Analysis System) Dust Page: 15 environment; grain morphology Scientific Payload (2) Nucleus large structure Dust flux, mass distribution GIADA (Grain Impact Analyser and Dust Accumulator). Number, mass, momentum and velocity distribution of dust grains. Plasma environment CONSERT (Comet Nucleus Sounding Experiment by Radiowave Transmission). Nucleus tomography RPC (Rosetta Plasma Consortium). 5 sensors measure the physical properties of the nucleus, structure of the inner coma, cometary activity, interaction with solar wind. Radio science RSI (Radio Science Investigation). S-X band, measure mass, density of nucleus. Solar corona during conjunction events. Page: 16 Spacecraft OSIRIS VIRTIS COSIMA MIDAS ALICE CONSERT MIRO ROSINA GIADA RPC Page: 17 Scientific Payload (3) Rosetta Lander CONSERT ROMAP (RO Lander Magnetometer and Plasma Monitor). Local magnetic field and comet/solar wind interaction. MUPUS (Multi-Purpose Sensors for Surface and Subsurface Science). Sensors to measure density, thermal and mechanical properties of surface. SESAME (Surface Electrical, Seismic and Acoustic Monitoring Experiment). Electric, seismic and acoustic monitoring. Dust impact monitoring. APXS (Alpha, Proton, X-ray Spectrometer). Elemental composition of surface. ÇIVA/ROLIS (visible & IR imaging). 6 cameras and spectrometer. Composition, texture, albedo of samples from the surface. COSAC (Cometary Sampling and Composition). Gas analyser for complex organic molecules Modulus Ptolemy. Gas chromatography; isotopic ratios of Page: 18 light elements. Rosetta Recovery Failure of Ariane Flight 157 on 11.12.2002 led to intense work to study alternative scenarios in case of cancellation of Rosetta launch on Flight 158. Fixed constraints on spacecraft: mass, propellant, power, thermal, mechanical, Telemetry Use of periodically up-dated database of extended alternative mission. Very good collaboration of ESA, Industry, and Scientists January,7, 2003, launch of original Rosetta cancelled Recommendation of first ESA internal review 27.01.2003: Page: 19 No Venus swing-by; Maintain mission schedule; Rosetta Recovery (2) 25-26 Feb. 2003 ESA’s Science Programme Committee Intense activity on: 67P/Churyumov-Gerasimenko; launcher Ariane 5; launch Feb. 2004 with launch backup in 2005 using Proton. 46P/Wirtanen; launcher Proton; launch Jan. 2004. Observation of 67P/Ch-G using HST, and ESO Lander constraints. Rebound on 46P/Wirtanen, crash on 67P/Ch-G Spacecraft constraints. Unloading of MMH, but not of NTO. Danger of tanks corrosion Launcher performances: payload, fairing dimensions 13-14 May, SPC decided 67P/Ch-G withPage: 20 Rosetta Recovery (3) Missions considered for recovery Launc RV Vinf De DV Perih. km/ de m/s min/M dist. Aster Baselin Siwa- 2003/ 2012/ 2013/ 3.4 0 149 0.93/5. Siwa Chur- 2004/ 2014/ 2015/ 3.5 -3 159 179 0.88/5. Wirtane 2004/ 2012/ 2013/ 5.0 10. 112 175 Lutet Rhod Siwa 0.9/5.3 Isis Julia Page: 21 Ariane 5 EPS Delayed Ignition The engine of the upper stage, EPS, of Ariane 5 is ignited after cut-off of the central core engine, but it can be restarted or its ignition delayed. A delayed ignition increases the time from launch to injection, but substantially increases the performance Flight software for Page: 22 The Big Jump Page: 23 AR 5 Delayed EPS ignition Only 2 Launcher Flight Programs needed for a launch period of 21 days (26.02 – 17.03.2004) with 2 launch attempts per day. Original mission had 14 FP. Earth escape targets: V = 3.545 km/s, = 2° Page: 24 AR 5 Delayed EPS ignition Page: 25 Gravity Assists Gravity Assists have been used since 1973 Mariner 10 mission, that flew by Venus in its way to Mercury. Later Pioneer 11 to Saturn, Voyager 1 & 2 (Jupiter, Saturn, Uranus, Neptune), Galileo to Jupiter, Ulysses out of the ecliptic, Vega, ICE to comet Giacobini-Zinner, Giotto, etc. Gravity Assist or swing-by is a significant trajectory perturbation due to a close approach to a celestial body. Foundations laid down since early 20th century. Applications to missions described by 1965. Gravity assist is based on the deflection of the arrival relative velocity, Va, to the Page: 26 departure relative velocity V d, Gravity Assists (2) VPlanet Vrd Vd VPlanet VPlanet Vra Va Swing-by Va VPlanet Vd V EGA Page: 27 Gravity Assists (3) The change of velocity is Vd = Va + (Vd - Va ). The deflection angle is given by: sin/2 = 1 / (1+r V2 /) The change of velocity is: 2) v = 2 V sin/2 = 2 V /(+ r V Planet /2 v (km/s) Venus 61.6 4.77 Mars 39.9 3.40 Jupiter 85.8 11.25 r = planet radius, Va = Hohmann transfer Page: 28 Gravity Assists (4) The VEGA (V-Earth Gravity Assist) is the use of a swingby of the Earth after a V manoeuvre. (Hollenbeck 1975). Launch from Earth into a 2 or 3 years heliocentric trajectory (V < 5 km/s), followed by a manoeuvre near aphelion (few hundred meters) to target either before or after perihelion produces a relative V ~ 10 km/s. Page: 29 Finding the good way there Comet of interest: perihelion 1 AU, Aphelion 5-6 AU Departure from Earth or last Earth swing-by with relative velocity of 9-11 km/s. Gravity Assists is needed Delta-V + Earth GA high propellant consumption (3 years round trip, with launch at V ~3.4 km/s, 900 m/s needed to reach the 9 km/s) Mars GA + Earth GA: - launch at 3.5 km/s, one revolution before Mars, or at3.9 km/s, one revolution between Mars and Earth return. Venus GA: thermal problems with the spacecraft are confirmed. The strategy Launch – Earth within one Page: year 30 COMET RENDEZ-VOUS STRATEGIES 01/2003: Mars GA (A window) Page: 31 Finding solutions Sequential approach: Feasible missions Optimization using simple models Full numerical optimization with all mission constraints Given a sequence of swing-by, and the number of revolutions between swing-by, a discrete search provides the swing-by times. Techniques to accelerate the search: keep tables of Lambert solutions, prune trajectories, order results. Pay attention to: - Number of revolutions in between swing-by, and cases; - singular cases: multiple swing-by of same body at 180° or 360° Using a constrained non-linear parameter optimisation method, optimise sequence of events, launch conditions, and introduce Deep Space Manoeuvres to force to zero any manoeuvres at swing-by. Page: 32 Finding solutions Parameter optimisation min F(x), xEn, with qi(x) = 0, gi(x) > 0. To ensure convergence, it is important to make a good selection of the variables, the constraints, and the cost function. The cost function is typically the useful mass, or the sum of the modulus of the V with weighting factors. The variables can be position and velocity vectors at some points in the trajectory, dates, impact vectors, angles, orbital elements, etc. The constraints describe the initial/final conditions, trajectory matching at selected points, minimum swing-by height, technical constraints to control behaviour of the Page: 33 Optimization Problem is defined as: min F(x), xEn, gk(x)=0, k=1,…q, gk(x)>0, k=q+1,…,m Sequential Quadratic Programming is a generalized Newton’s method that, starting in a given point, finds a better point by minimizing a quadratic model of the problem. Packages: OPTIMA, MATLAB, NPSOL, NLPQL, SQP OPTIMA: penalty function P(x,r)=F(x)+ g(x)T g(x)/r. Quadratic sub-problem: g min ½ pT B p + fTp, with Ap=-½ r Page: 34 Selection of model Rosetta – 67P. Patched conics. No asteroids. Free Launch date and comet rendezvous date. E2 DSM3 TL TE3 TE2 TDSM3 Variable s 18 L DSM1 E1 DSM2 M E3 DSM4 Comet TDSM1 TE1 TDSM4 Constrai nts 7 Ea1 Ea1 TDSM2 Tc TM Ma Ed2 Ma Ed2 RDSM4 < 4.4 AU (Solar Power) RpE1 , RpE2 , RpE3 > RminE , RpM > RminM; =0. TC > TC min, ( RC < RC min ) Ed3 Ed3 Vswing-by Page: 35 Selection of model (2) Arc M-E2, Lambert VdM , VaM , VE2a , VE2d Arc DSM2-M, back propagation RDSM2 Arc E1-DSM2, Lambert VDSM2 , VE1d , VE1a Arc DSM1-E1, back propagation RDSM1 Arc L-DSM1, Lambert VL , VDSM1 Arc E2-DSM3, forwards propagation RDSM3 Arc DSM3-E3, Lambert VDSM3 , VE3a , VE3d Arc E3-DSM4, forwards propagation RDSM4 Arc DSM4-C, Lambert VDSM4 , VRDV VL ML Vi /ISp MRDV Page: 36 AR 5 Delayed EPS ignition Estimated performances Page: 37 Selection of model (3) Similarly can be solved the Launch Window problem where the fixed parameters are TL , TC , VL , L . 18 variables, 5 constraints. Page: 38 The acrobatics Launch-Earth-MarsEarth-Earth-Comet L-E1, 370 d, 170 m/s E1-M, 730 d M-E2, 260 d E2-E3, 727 d E3-DSM, 540 m/s DSM-67P, 1110 d Near comet, 445 d 7160 M km !! Earth 940 Mkm/year Page: 39 Trajectory Trajectory Earth-Earth Manoeuvre Optimisation 1.5 DSM1.2 1.0 EARTH 1 Y (AU) 0.5 DSM1.1 – Perihelion (6/2004) DSM2.1 – Aphelion (12/2004) Variation with launch day LAUNCH 0.0 -0.5 DSM1.1 -1.0 -1.5 -1.5 -1.0 -0.5 0.0 0.5 1.0 1.5 X (AU) Page: 40 Events Event V (m/s) Deep Space Manoeuvre 3 Date 2004/02/26 2004/05/25 2005/03/02 2006/10/21 2007/02/27 2007/11/15 2009/03/16 Earth gravity assist 2009/11/11 Deep Space manoeuvre 4. @ (4.4 AU) 2011/05/10 533 Rendezvous with 67P. @ (4.0 AU) Start nucleus operations at 3.25 AU Perihelion pass 2014/05/23 2014/10/03 774 Launch Deep Space Manoeuvre 1.1 Earth gravity assist Deep Space Manoeuvre 2 Mars gravity assist Earth gravity assist Vrel. (km/s) 3.545 Peric. H (km) 173 3.9 4300 8.77 9.33 200 14000 9.98 550 65 130 2015/08/11 Page: 41 Distances to Earth & Sun Page: 42 Rosetta got an extra The propellant left for Near Comet operations, after rendezvous with 67P, varies by 20 kg, (33 % of allocation at comet). After a delay of 5 days, Rosetta was launched on March, 2. Page: 43 Planet swing-by Conditions at the first Earth swing-by depends on the day of launch Conditions at Mars swing-by or at subsequent Earth swing-by are very fixed Earth -1 Mars Page: 44 Planet swing-by (2) Earth -2 Earth -3 Page: 45 Navigation Orbit Determination and Trajectory Correction Manoeuvres Measurements: Distance measurement (radio tracking range) (2-5 m error) Relative velocity spacecraft – Ground Station (Doppler) (1 mm/s error) Delta-DOR (Differential one-way ranging) ( ~ 20 cm error) Onboard Optical Measurements (Camera, star trackers) Delta-DOR measurements use spacecraft signal simultaneously received by 2 ground stations. It is a type of Very Long Baseline Page: 46 Interferometry measurement and determines, Navigation (2) By using the signal from a nearby quasar, both GS cancel the common error sources (atmosphere, propagation media, clocks) Delta-DOR measurements are very useful in critical phases of a mission: planet approach, prior to a swing-by, orbit insertion, landing, etc. Other sources of errors are: Station position ( < 1 m ) Signal propagation (troposphere, ionosphere, spacecraft transponder) Modelling of forces (planets, solar radiation pressure, out-gassing, open thrusters, ..) Page: 47 Navigation (3) Effect of biases. Measurement equations: z=Ax+By+ where: z : measurements residuals (observed – computed). x : variables to be estimated. y : variables known to be biases and not estimated. Estimated: xe = (AT W A) -1 (AT W) z W-1 = E ( T) Computed error covariance: P = E (xe – x, (xe – x)T = (AT W A+C1) –1 Consider covariance: Page:, 48 Pc = P + S Py ST , S = -P AT W B Py T Correcting the Launcher Launcher injection errors corrected by manoeuvres that re-optimises the full trajectory. Large correction manoeuvre may be needed. Difficult first acquisition from Kourou Page: 49 Interplanetary Navigation COVARIANCE ANALYSIS – Knowledge and Dispersion Matrixes Deterministic Manoeuvres - Implementation Errors - No re-optimisation - Degradation of Knowledge Dispersion and Knowledge mapped at pericentre of 1st Earth swing-by Mid-Course Corrections - Improve dispersion errors at target - Implementation Page: 50 Interplanetary Navigation Mars swing-by is critical. Minimum altitude selected at 250 km. Very good experience with Mars Express Page: 51 Interplanetary Navigation (2) Last Earth swing-by should be as low as possible, baseline 530 km, but not critical Page: 52 Interplanetary Navigation Propellant Assessment Ariane 5 Launching Accuracy - Position – 39 Km, mostly AlongTrack - Velocity – 36 m/s, mostly radial LIC - Launcher Injection Correction - 4 days after injection Mid-Course Corrections - About 17 targetting conditions at pericentre of planets swing-by ROSETTA Churyumov-Gerasimenko 2004 INTERPLANETARY NAVIGATION BUDGET ESTIMATION TC # Mean (m/s) 1-s (m/s) Min (m/s) 99% (m/s) Max (m/s) LIC 1 45.2 30.5 0.7 138.0 218.6 Phase Launch-Earth 1 4 3.2 1.3 0.08 8.9 13.9 Phase Earth1-Mars 4 1.4 0.6 0.04 3.7 5.6 Phase Mars-Earth2 2 3.9 2.0 0.07 10.6 16.6 Phase Earth2-Earth3 5 1.6 0.8 0.04 4.5 7.0 Phase Earth3-Comet 2 1.7 0.8 0.06 4.5 6.9 Total without LIC 17 11.8 2.7 0.3 32.1 50.1 Page: 53 Asteroids The asteroids to be explored were decided after launch. The excellent performance of Ariane 5, error in V< 1.8 m/s, and the optimal launch day allow to include 2 asteroids fly-by along the mission: Diameter Period Type 21 130x104x7 8.17 M, Mo, 2867 17.5 – 5.5 ? C? Page: 54 67P/Churyumov-Gerasimenko Comet discovered in 1969 by K. Churyumov and S. Gerasimenko. Up to 1840 the perihelion was 4 AU. A Jupiter encounter reduced it to 3 AU. In 1959 another Jupiter encounter reduced it to its current 1.28 AU. Orbital period is about 6.6 years. Well observed in 1976, 1982, 1989, and 2002. Estimated diameter of nucleus 5 x 3 km. Relatively active object. Dust production 60 – 220 kg/s. Ratio gas / dust ~ 2. Page: 55 67P/Churyumov-Gerasimenko Comet models: 2 km radius, 12 hr rotational period Page: 56 Approaching 67P Start of comet rendezvous when distance to Sun = 4 AU Operations based on using only the NAVCAM for comet detection. Earliest start at (3 Mkm) As an improvement OSIRIS could be used for comet detection. Early comet detection can be used to advance the Orbit Insertion Point (OIP). Start of comet Global Mapping Phase. Power will not drive the earliest start of RV operations. Power limit is at 4.4 AU. Page: 57 Earliest start of phase is driven by available Approaching 67P (2) Near comet operation phases up to Lander delivery do not depend on the comet characteristics. Page: 58 Approaching 67P (3) The approach from 600000 km to 40 km, and the reduction of the relative velocity from 780 m/s to 0.3 m/s will be performed in about 3 months. During this period Rosetta will: get comet images to determine: nucleus size, shape, rotation, relative position+velocity, identification of landmarks; avoid cometary debris, and eclipses; Keep Earth communications; Keep safety; Page: 59 Mapping 67P Mapping and selection of landing sites: - Orbit safety - avoid debris, jets - ensure no eclipse, no occultation - cover at least 80% of illuminated surface, good illumination conditions, - volume of data to be transmitted to Earth - fly over 5 selected areas at required illumination conditions, and resolution. Page: 60 Mapping 67P (2) Page: 61 Mapping 67P (3) Page: 62 Philae Landing Page: 63 Philae Landing (2) Montecarlo simulations by MPIAe (M. Hilchenbach, Cologne 2003) Montecarlo calculation for target comets: Variation of radii and densities* no landing possible landing possible *still assuming landing on inactive comet, about 3 AU away from the sun. Page: 64 Philae Landing (3) Lander Delivery, 12 d: - arrive at delivery point in a safe orbit, with the proper attitude and velocity. - Constraints on: Ground visibility, Eclipse, Solar Aspect - Mechanical Separation System constraints: ejection V. - Active Descent System constraints: V vertical - SSP landing constraints: V impact, angles, landing errors Page: 65 Philae Landing (4) Delivery Trajectory and Landing errors (3-s). Vimpact < 120 cm/s Page: 66 Philae Landing (5) Page: 67 Conclusions Thanks to a very intensive collaboration between all people and institutions involved in Rosetta a new mission to 67P/ChuryumovGerasimenko has been defined in a very short time. THANKS Page: 68 FOR YOUR ATTENTION