Spacecraft dynamics near a binary asteroid

F. Gabern; W.S. Koon; Jerrold E. Marsden

doi:10.3934/proc.2005.2005.297

Article Contents

2005, Volume 2005: 297-306. Doi: 10.3934/proc.2005.2005.297 open access

This issue Previous Article Dynamical structure of one-phase model of solid combustion Next Article Water-gas flow in porous media

Spacecraft dynamics near a binary asteroid

1.
Control and Dynamical Systems, California Institute of Technology, 107-81, 1200 E. California Boulevard, Pasadena, CA 91125
2.
Control and Dynamical Systems 107-81, California Institute of Technology, Pasadena, CA 91125

Received: August 31, 2004

Revised: April 30, 2005

Published: August 2005

Abstract Related Papers Cited by

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 affecting 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.

Keywords:

Mathematics Subject Classification: 37N05,70F07.

Citation:

Article Metrics

HTML views() PDF downloads(49) Cited by(0)

Spacecraft dynamics near a binary asteroid

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

Spacecraft dynamics near a binary asteroid

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content