Exoplanets; Fuel budget; Occulter; Optimization; Scheduling; Starshade; Trajectory; WFIRST; Comprehensive costs; Exo-planets; Formation flying missions; Linear cost functions; Selection scheme; Electronic, Optical and Magnetic Materials; Condensed Matter Physics; Computer Science Applications; Applied Mathematics; Electrical and Electronic Engineering
Abstract :
[en] An exoplanet direct imaging mission using an external occulter for starlight suppression could potentially achieve higher contrasts and throughputs than an equivalently sized telescope with an internal coronagraph. We consider a formation flying mission where the starshade must station-keep with a telescope, assumed to be on a halo orbit about the Sun-Earth L2 point, during observations and slew between observations as the telescope re-orients to target the next star. We use a parameterization of the slew fuel cost calculation based on interpolation of exact solutions of boundary value problem in the circular restricted three body formalism. Time constraints are imposed based on when stars are observable due to the motion of bright sources in the solar system, integration times, and mission lifetime constraints. Finally, we present a comprehensive cost function incorporating star completeness values as a reward heuristic and retargeting fuel costs to sequentially select the next best star to observe. Ensembles of simulations are conducted for different selection schemes; for a 3 year mission, taking two steps of the linear cost function produces the most unique detections with an average of 7.08± 2.55.
Disciplines :
Space science, astronomy & astrophysics
Author, co-author :
Soto, Gabriel; Sibley School of Mechanical and Aerospace Engineering, Cornell University, Ithaca, United States
Keithly, Dean; Sibley School of Mechanical and Aerospace Engineering, Cornell University, Ithaca, United States
Garrett, Daniel; School of Mechanical and Aerospace Engineering, Princeton University, Princeton, United States
Delacroix, Christian ; Université de Liège - ULiège > Département d'astrophysique, géophysique et océanographie (AGO) > Planetary & Stellar systems Imaging Laboratory ; Carl Sagan Institute, Cornell University, Ithaca, United States
Savransky, Dmitry; Sibley School of Mechanical and Aerospace Engineering, Cornell University, Ithaca, United States
Language :
English
Title :
Optimal starshade observation scheduling
Publication date :
2018
Event name :
Space Telescopes and Instrumentation 2018: Optical, Infrared, and Millimeter Wave
Event place :
Austin, Usa
Event date :
10-06-2018 => 15-06-2018
Main work title :
Space Telescopes and Instrumentation 2018: Optical, Infrared, and Millimeter Wave
Editor :
Fazio, Giovanni G.
Publisher :
SPIE
ISBN/EAN :
978-1-5106-1949-4
Peer reviewed :
Editorial reviewed
Funders :
NASA - National Aeronautics and Space Administration
Funding text :
This work is supported by NASA Grant No. NNG16PJ24C (SIT). 4D Technology; Andor Technology, Ltd.; Astronomical Consultants and Equipment, Inc.; Giant Magellan Telescope; GPixel, Inc.; et al.
K. Griest and N. SaZadeh, "The use of high-magnification microlensing events in discovering extrasolar planets, " The Astrophysical Journal 500, pp. 37-50, 1998.
J. N. Winn, "Exoplanet transits and occultations, " in Exoplanets, S. Seager, ed., pp. 55-78, The University of Arizona Press, 2010.
A. Cumming, "Detectability of extrasolar planets in radial velocity surveys., " Monthly Notices of the Royal Astronomical Society 354, pp. 1165-1176, 2004.
B. Macintosh, J. R. Graham, T. Barman, R. J. De Rosa, Q. Konopacky, M. S. Marley, C. Marois, E. L. Nielsen, L. Pueyo, A. Rajan, J. Rameau, D. Saumon, J. J. Wang, M. Ammons, P. Arriaga, E. Artigau, S. Beckwith, J. Brewster, S. Bruzzone, J. Bulger, B. Burningham, A. S. Burrows, C. Chen, E. Chiang, J. K. Chilcote, R. I. Dawson, R. Dong, R. Doyon, Z. H. Draper, G. Duchene, T. M. Esposito, D. Fabrycky, M. P. Fitzgerald, K. B. Follette, J. J. Fortney, B. Gerard, S. Goodsell, A. Z. Greenbaum, P. Hibon, S. Hinkley, T. H. Cotton, L.-W. Hung, P. Ingraham, M. Johnson-Groh, P. Kalas, D. Lafreniere, J. E. Larkin, J. Lee, M. Line, D. Long, J. Maire, F. Marchis, B. C. Matthews, C. E. Max, S. Metchev, M. A. Millar-Blanchaer, T. Mittal, C. V. Morley, K. M. Morzinski, R. Murray-Clay, R. Oppenheimer, D. W. Palmer, R. Patel, J. Patience, M. D. Perrin, L. A. Poyneer, R. R. Rakov, F. T. Rantakyro, E. Rice, P. Rojo, A. Rudy, J.-B. Ruo, M. T. Ruiz, N. Sadakuni, L. Saddlemyer, M. Salama, D. Savransky, A. C. Schneider, A. Sivaramakrishnan, I. Song, R. Soummer, S. Thomas, G. Vasisht, J. K. Wallace, K. Ward-Duong, S. J. Wiktorowicz, S. G. Wol, and B. Zuckerman, "Discovery and spectroscopy of the young Jovian planet 51 Eri b with the Gemini Planet Imager, " Science 350 (6256), pp. 64-67, 2015.
D. Smith, S. Warwick, T. M. Glassman, M. C. Novicki, M. C. Richards, A. Harness, and K. D. Patterson, "Measurements of high-contrast starshade performance in the field, " in Space Telescopes and Instrumenta-tion 2016: Optical, Infrared, and Millimeter Wave, 9904, p. 99043K, International Society for Optics and Photonics, 2016.
R. J. Vanderbei, E. Cady, and N. J. Kasdin, "Optimal occulter design forfinding extrasolar planets, " The Astrophysical Journal 665, p. 794, 2007.
S. Seager, M. Turnbull, W. Sparks, M. Thomson, and S. B. Shaklan, "The Exo-S probe class starshade mission, " available at exep. jpl. nasa. gov/stdt, 2015.
E. Kolemen and N. J. Kasdin, "Optimization of an occulter-based extrasolar-planet-imaging mission, " Jour-nal of Guidance, Control, and Dynamics 35 (1), pp. 172-185, 2012.
G. Soto, A. Sinha, D. Savransky, C. Delacroix, and D. Garrett, "Starshade orbital maneuver study for WFIRST, " Proc. SPIE, pp. 10400-10400-13, 2017.
G. Soto, D. Savransky, D. Garrett, and C. Delacroix, "Parameterizing the Search Space of Starshade Fuel Costs for Optimal Observation Schedules, " Journal of Guidance, Control, and Dynamics (submitted), pp. 1-25, 2018.
R. A. Brown, "Single-visit photometric and obscurational completeness, " The Astrophysical Journal 624, pp. 1010-1024, 2005.
D. Savransky and D. Garrett, "WFIRST-AFTA coronagraph science yield modeling with EXOSIMS, " Jour-nal of Astronomical Telescopes, Instruments, and Systems 2, p. 11006, 2016.
D. Spergel, N. Gehrels, C. Baltay, D. Bennett, J. Breckinridge, M. Donahue, A. Dressler, B. S. Gaudi, T. Greene, O. Guyon, C. Hirata, J. Kalirai, N. J. Kasdin, B. Macintosh, W. Moos, S. Perlmutter, M. Postman, B. Rauscher, J. Rhodes, Y. Wang, D. Weinberg, D. Benford, M. Hudson, W.-S. Jeong, Y. Mellier, W. Traub, T. Yamada, P. Capak, J. Colbert, D. Masters, M. Penny, D. Savransky, D. Stern, N. Zimmerman, R. Barry, L. Bartusek, K. Carpenter, E. Cheng, D. Content, F. Dekens, R. Demers, K. Grady, C. Jackson, G. Kuan, J. Kruk, M. Melton, B. Nemati, B. Parvin, I. Poberezhskiy, C. Peddie, J. Rua, J. K. Wallace, A. Whipple, E. Wollack, and F. Zhao, "Wide-Field InfraRed Survey Telescope-Astrophysics Focused Telescope Assets WFIRST-AFTA 2015 report, " arXiv 1, 2015.
B. Mennesson, S. Gaudi, S. Seager, K. Cahoy, S. Domagal-Goldman, L. Feinberg, O. Guyon, J. Kasdin, C. Marois, D. Mawet, M. Tamura, D. Mouillet, T. Prusti, A. Quirrenbach, T. Robinson, L. Rogers, P. Scowen, R. Somerville, K. Stapelfeldt, D. Stern, M. Still, M. Turnbull, J. Booth, A. Kiessling, G. Kuan, and K. War field, "The habitable exoplanet (habex) imaging mission: preliminary science drivers and technical requirements, " Proc. SPIE 9904, pp. 9904-9904-10, 2016.
W. S. Koon, M. W. Lo, J. E. Marsden, and S. D. Ross, Dynamical Systems, the Three-Body Problem and Space Mission Design, Marsden Books, 1. 2 ed., 2011.
C. McInnes, Solar Sailing: Technology, Dynamics and Mission Applications, Springer-Praxis Books, 1999.
B. Dachwald, G. Mengali, A. A. Quarta, and M. Macdonald, "Parametric Model and Optimal Control of Solar Sails with Optical Degradation, " Journal of Guidance, Control, and Dynamics 29 (5), pp. 1170-1178, 2006.
T. Glassman, L. Newhart, W. Voshell, A. Lo, and G. Barber, "Creating optimal observing schedules for a starshade planet-nding mission, " IEEE Aerospace Conference Proceedings, 2011.
E. Jones, T. Oliphant, P. Peterson, et al., "SciPy: Open source scientific tools for Python, " 2001-.
J. Kierzenka and L. F. Shampine, "A BVP solver based on residual control and the maltab PSE, " ACM Transactions on Mathematical Software (TOMS) 27 (3), pp. 299-316, 2001.
M. J. L. Turner, Rocket and Spacecraft Propulsion: Principles, Practice and New Developments, Springer-Praxis Books, third ed., 2009.
C. Delacroix, D. Savransky, D. Garrett, P. Lowrance, and R. Morgan, "Science yield modeling with the exoplanet open-source imaging mission simulator (EXOSIMS), " Proc. SPIE 9911, pp. 9911-9911-19, 2016.
B. Nemati, J. E. Krist, and B. Mennesson, "Sensitivity of the wfirst coronagraph performance to key instrument parameters, " in Techniques and Instrumentation for Detection of Exoplanets VIII, 10400, p. 1040007, International Society for Optics and Photonics, 2017.
B. Nemati, "Detector selection for the wfirst-afta coronagraph integral field spectrograph, " in SPIE Astro-nomical Telescopes+Instrumentation, pp. 91430Q-91430Q, International Society for Optics and Photonics, 2014.
C. C. Stark, A. Roberge, A. Mandell, and T. D. Robinson, "Maximizing the ExoEarth candidate yield from a future direct imaging mission, " Astrophysical Journal 795 (2), pp. 1-47, 2014.
D. Keithly, D. Savransky, D. Garrett, and C. Delacroix, "Scheduling and target selection optimization for exoplanet imaging spacecraft, " in Space Telescopes and Instrumentation 2018: Optical, Infrared, and Millimeter Wave, 10698, International Society for Optics and Photonics, 2018.
D. Garrett and D. Savransky, "Analytical formulation of the single-visit completeness joint probability density function, " The Astrophysical Journal 828, p. 20, 2016.
D. Savransky, N. J. Kasdin, and E. Cady, "Analyzing the Designs of Planet-Finding Missions, " Publications of the Astronomical Society of the Pacific 122 (890), pp. 401-419, 2010.
Falcon 9 Launch Vehicle-Payload User's Guide.
F. Fressin, G. Torres, D. Charbonneau, S. T. Bryson, J. Christiansen, C. D. Dressing, J. M. Jenkins, L. M. Walkowicz, and N. M. Batalha, "The False Positive Rate of Kepler and the Occurrence of Planets, " Astrophysical Journal 766 (2), 2013.