Gabern, F. and Koon, W. S. and Marsden, J. E.
(2005)
*Spacecraft dynamics near a binary asteroid.*
Discrete and Continuous Dynamical Systems, 2005
(Supple).
pp. 297-306.
ISSN 1078-0947.
http://resolver.caltech.edu/CaltechAUTHORS:20100921-140434645

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## Abstract

We study a simple model for an asteroid pair, namely a planar system consisting of a rigid body and a sphere. This model is interesting because it is one of the simplest that captures the coupling between rotational and translational dynamics. By assuming that the binary is in a relative equilibria of the system, we construct a model for the motion of a spacecraft about this asteroid pair without a®ecting its motion (that is, we consider a restricted problem). This model can be studied as a perturbation of the standard Restricted Three Body Problem (RTBP). We use the stable zones near the triangular relative equilibrium points of the binary and a normal form of the Hamiltonian to compute stable periodic and quasi-periodic orbits for the spacecraft, which enable it to observe the binary while the binary orbits around the Sun.

Item Type: | Article | ||||||||||||
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Additional Information: | © 2005, Received September, 2004; revised May, 2005. Work partly supported by the California Institute of Technology President's Fund and NSF-ITR grant ACI-0204932. F.G. acknowledges the support of the Fulbright-GenCat postdoctoral program, the MCyT/FEDER Grant BFM2003-07521-C02-01 and the CIRIT grant 2001SGR{70. | ||||||||||||

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Subject Keywords: | Binary asteroids, normal forms, spacecraft dynamics | ||||||||||||

Classification Code: | 2000 M.S.C.: 37N05,70F07. | ||||||||||||

Record Number: | CaltechAUTHORS:20100921-140434645 | ||||||||||||

Persistent URL: | http://resolver.caltech.edu/CaltechAUTHORS:20100921-140434645 | ||||||||||||

Official Citation: | Spacecraft dynamics near a binary asteroid F. Gabern, W.S. Koon and J.E. Marsden Discrete Contin. Dyn. Syst., suppl. vol. 2005, pp. 297-306 (2005) | ||||||||||||

Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||

ID Code: | 20075 | ||||||||||||

Collection: | CaltechAUTHORS | ||||||||||||

Deposited By: | Ruth Sustaita | ||||||||||||

Deposited On: | 22 Sep 2010 18:19 | ||||||||||||

Last Modified: | 26 Dec 2012 12:27 |

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