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Spacecraft dynamics near a binary asteroid

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
Related URLs:
URLURL TypeDescription
http://www.maia.ub.es/~gabern/preprints/GaKoMa2005_astpair.pdfAuthorUNSPECIFIED
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.
Funders:
Funding AgencyGrant Number
Caltech President’s FundUNSPECIFIED
NSF-ITRACI-0204932
Fulbright -GenCat postdoctoral programUNSPECIFIED
MCyT/FEDERBFM2003-07521-C02-01
CIRIT2001SGR–70
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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