Optimal starshade observation scheduling

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.

[1]  Eric Jones,et al.  SciPy: Open Source Scientific Tools for Python , 2001 .

[2]  Robert A. Brown Single-Visit Photometric and Obscurational Completeness , 2005, astro-ph/0503077.

[3]  A. Lo,et al.  Creating optimal observing schedules for a starshade planet-finding mission , 2011, 2011 Aerospace Conference.

[4]  Jason J. Wang,et al.  Discovery and spectroscopy of the young jovian planet 51 Eri b with the Gemini Planet Imager , 2015, Science.

[5]  Edward J. Wollack,et al.  Wide-Field InfrarRed Survey Telescope-Astrophysics Focused Telescope Assets WFIRST-AFTA 2015 Report , 2015, 1503.03757.

[6]  Olivier Guyon,et al.  The Habitable Exoplanet (HabEx) Imaging Mission: preliminary science drivers and technical requirements , 2016, Astronomical Telescopes + Instrumentation.

[7]  N. J. Kasdin,et al.  Analyzing the Designs of Planet-Finding Missions , 2009, 0903.4915.

[8]  Neda Safizadeh,et al.  The Use of High-Magnification Microlensing Events in Discovering Extrasolar Planets , 1997 .

[9]  Dmitry Savransky,et al.  Parameterizing the Search Space of Starshade Fuel Costs for Optimal Observation Schedules , 2019 .

[10]  Lawrence F. Shampine,et al.  A BVP solver based on residual control and the Maltab PSE , 2001, TOMS.

[11]  Dmitry Savransky,et al.  Science yield modeling with the Exoplanet Open-Source Imaging Mission Simulator (EXOSIMS) , 2016, Astronomical Telescopes + Instrumentation.

[12]  A. Cumming Detectability of extrasolar planets in radial velocity surveys , 2004, astro-ph/0408470.

[13]  Dmitry Savransky,et al.  Starshade orbital maneuver study for WFIRST , 2017, Optical Engineering + Applications.

[14]  Dmitry Savransky,et al.  ANALYTICAL FORMULATION OF THE SINGLE-VISIT COMPLETENESS JOINT PROBABILITY DENSITY FUNCTION , 2016, 1607.01682.

[15]  Dmitry Savransky,et al.  WFIRST-AFTA coronagraph science yield modeling with EXOSIMS , 2015, 1511.02869.

[16]  Martin J. L. Turner,et al.  Rocket and Spacecraft Propulsion: Principles, Practice and New Developments , 2000 .

[17]  R. Vanderbei,et al.  Optimal Occulter Design for Finding Extrasolar Planets , 2007, 0704.3488.

[18]  Dmitry Savransky,et al.  Scheduling and target selection optimization for exoplanet imaging spacecraft , 2018, Astronomical Telescopes + Instrumentation.

[19]  F. Fressin,et al.  THE FALSE POSITIVE RATE OF KEPLER AND THE OCCURRENCE OF PLANETS , 2013, 1301.0842.

[20]  J. Marsden,et al.  Dynamical Systems, the Three-Body Problem and Space Mission Design , 2009 .

[21]  N. Jeremy Kasdin,et al.  The Exo-S probe class starshade mission , 2015, SPIE Optical Engineering + Applications.

[22]  Joshua N. Winn,et al.  Exoplanet Transits and Occultations , 2010 .

[23]  Alessandro Antonio Quarta,et al.  Parametric model and optimal control of solar sails with optical degradation , 2006 .

[24]  Mike Richards,et al.  Measurements of high-contrast starshade performance in the field , 2016, Astronomical Telescopes + Instrumentation.

[25]  John E. Krist,et al.  Sensitivity of the WFIRST coronagraph performance to key instrument parameters , 2017, Optical Engineering + Applications.

[26]  Bijan Nemati Detector selection for the WFIRST-AFTA coronagraph integral field spectrograph , 2014, Astronomical Telescopes and Instrumentation.

[27]  Aki Roberge,et al.  MAXIMIZING THE ExoEarth CANDIDATE YIELD FROM A FUTURE DIRECT IMAGING MISSION , 2014, 1409.5128.

[28]  John E. Prussing,et al.  Solar Sailing: Technology, Dynamics, and Mission Applications , 2000 .

[29]  N. Jeremy Kasdin,et al.  Optimization of an Occulter-Based Extrasolar-Planet-Imaging Mission , 2012 .