Advertisement

Efficient Modelling of Small Bodies Gravitational Potential for Autonomous Proximity Operations

Conference paper
Part of the Astrophysics and Space Science Proceedings book series (ASSSP, volume 44)

Abstract

Maintaining missions in proximity of small bodies requires extensive orbit determination and ground station time due to a ground-in-the-loop approach. Recent developments in on-board navigation paved the way for autonomous proximity operations. The missing elements for achieving this goal are a gravity model, simple enough to be easily used by the spacecraft to steer itself around the asteroid, and guidance laws that rely on a such an inherently simple model. In this research we identified a class of models that can represent well some characteristics of the dynamical environment around small bodies. In particular we chose to fit the positions and Jacobi energies of the equilibrium points generated by the balance of gravity and centrifugal acceleration in the body fixed frame. In this way these gravity models give also a good estimate of the condition of stability against impact for orbital trajectories. Making use of these approximate models we show autonomous guidance laws for achieving body fixed hovering in proximity of the asteroid while ensuring that no impact with the small body will occur during the approach.

Keywords

Equilibrium Point Gravitational Potential Approximate Model Centrifugal Acceleration Coriolis Acceleration 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. Bhaskaran, S., Nandi, S., Broschart, S.: Small body landings using autonomous onboard optical navigation. J. Astronaut. Sci. 58, 409–427 (2011)ADSCrossRefGoogle Scholar
  2. Carry, B., Kaasalainen, M., Merline, W.: Shape modeling technique KOALA validated by ESA Rosetta at (21) Lutetia. Planet. and Space Sci. 66 (1), 200–212 (2012)ADSCrossRefGoogle Scholar
  3. Dunham, D.W., Farquhar, R.W.: Implementation of the first asteroid landing. Icarus 159, 433–438 (2002)ADSCrossRefGoogle Scholar
  4. Herrera, E.: The Full Problem of Two and Three Bodies: Application to Asteroids and Binaries. University of Surrey, Guildford (2012)Google Scholar
  5. Herrera, E., Palmer, P.L., Roberts, M.: Modeling the gravitational potential of a nonspherical asteroid. J. Guid. Control Dyn. 36, 790–798 (2013)ADSCrossRefGoogle Scholar
  6. Hilton, J.L.: Asteroid masses and densities. Asteroids III, 103–112 (2002)Google Scholar
  7. Hudson, R.S., Ostro, S.J.: Shape of asteroid 4769 Castalia (1989 PB) from inversion of radar images. Science 263, 940–943 (1994)ADSCrossRefGoogle Scholar
  8. Polishook, D., Brosch, N.: Photometry and spin rate distribution of small-sized main belt asteroids. Icarus 199, 319–332 (2009)ADSCrossRefGoogle Scholar
  9. Pravec, P., Harris, A., Michalowski, T.: Asteroid rotations. Asteroids III, 113–122 (2002)Google Scholar
  10. Scheeres, D.J.: Orbital Motion in Strongly Perturbed Environments: Applications to Asteroids, Comet and Planetary Satellite Orbiters. Springer, London (2012)CrossRefGoogle Scholar
  11. Torppa, J., Kaasalainen, M.: Shapes and rotational properties of thirty asteroids from photometric data. Icarus 164, 346–383 (2003)ADSCrossRefGoogle Scholar
  12. Turconi, A., Palmer, P.L., Roberts, M.: Autonomous guidance and control in the proximity of asteroids using a simple model of the gravitational potential. In: 2nd IAA-AAS DyCoSS Conference, Rome (2014)Google Scholar
  13. Vallado, D.: Fundamentals of Astrodynamics and Applications. Microcosm Press, Hawthorne; Springer, New York (2007)Google Scholar
  14. Werner, R.A., Scheeres, D.J.: Exterior gravitation of a polyhedron derived and compared with harmonic and mascon gravitation representations of asteroid 4769 Castalia. Celest. Mech. Dyn. Astron. 65, 313–344 (1996)ADSzbMATHGoogle Scholar
  15. Yoshikawa, M., Fujiwara, A., Kawaguchi, J.: Hayabusa and its adventure around the tiny asteroid Itokawa. In: Proceedings of the International Astronomical Union 2.14 (2007)Google Scholar

Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  1. 1.Surrey Space CentreUniversity of SurreyGuildfordUK

Personalised recommendations