Spacecraft hovering control for body-fixed hovering over a uniformly rotating asteroid using geometric mechanics

Daero Lee, Amit K. Sanyal, Eric A. Butcher, Daniel J. Scheeres

Research output: Chapter in Book/Report/Conference proceedingConference contribution

5 Scopus citations

Abstract

A spacecraft hovering scheme over a uniformly rotating asteroid in the asteroid body-fixed frame using geometric mechanics is presented. The configuration space for the spacecraft is the Lie group SE(3), which is the set of positions and orientations of the rigid spacecraft in three-dimensional Euclidean space. The asteroid trajectory, in the form of natural attitude and translational (orbital) motion of a satellite, is assumed to be available through a spacecraft on-board navigation. The spacecraft tracks a desired relative configuration with respect to the asteroid in an autonomous manner. The relative configuration between the spacecraft and the asteroid is described in terms of exponential coordinates on the Lie group of rigid body motions. A continuous-time feedback tracking control using these exponential coordinates and the relative velocities is employed. A Lyapunov analysis guarantees that the spacecraft asymptotically converges to the desired trajectory. Numerical simulation results demonstrate the successful spacecraft hovering control in the asteroid body-fixed frame for a selected uniformly rotating asteroid.

Original languageEnglish (US)
Title of host publicationAstrodynamics 2013 - Advances in the Astronautical Sciences
Subtitle of host publicationProceedings of the AAS/AIAA Astrodynamics Specialist Conference
PublisherUnivelt Inc.
Pages1757-1773
Number of pages17
ISBN (Print)9780877036050
StatePublished - 2014
Event2013 AAS/AIAA Astrodynamics Specialist Conference, Astrodynamics 2013 - Hilton Head Island, SC, United States
Duration: Aug 11 2013Aug 15 2013

Publication series

NameAdvances in the Astronautical Sciences
Volume150
ISSN (Print)0065-3438

Other

Other2013 AAS/AIAA Astrodynamics Specialist Conference, Astrodynamics 2013
CountryUnited States
CityHilton Head Island, SC
Period8/11/138/15/13

ASJC Scopus subject areas

  • Aerospace Engineering
  • Space and Planetary Science

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    Lee, D., Sanyal, A. K., Butcher, E. A., & Scheeres, D. J. (2014). Spacecraft hovering control for body-fixed hovering over a uniformly rotating asteroid using geometric mechanics. In Astrodynamics 2013 - Advances in the Astronautical Sciences: Proceedings of the AAS/AIAA Astrodynamics Specialist Conference (pp. 1757-1773). (Advances in the Astronautical Sciences; Vol. 150). Univelt Inc..