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Gravitational Restricted Three-Body Problem: Existence of Retrograde Satellites at Large Distance

Published online by Cambridge University Press:  12 April 2016

Daniel Benest
Daniel Benest*
Affiliation:
Observatoire de Nice

Abstract

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In the frame of the gravitational restricted three-body problem, we study by numerical simulation the retrograde satellites -and their stability-at large distance. In the circular plane case, the stable satellites mostly surround (in the phase-space X°-V°) the characteristic of a family of single-periodic orbits where this family is stable, and librates (in the physical space) around a curve which corresponds to the nearest (in the phase-space X°-V°) periodic orbit. An analytical analysis of this libration is made for Hill’s case. The beginning of the study of the three—dimensional orbits is presented.

Type
Part V. Gravitational Problem of three or more bodies
Information
International Astronomical Union Colloquium , Volume 41: Dynamics of Planets and Satellites and Theories of their Motion , 1978 , pp. 285 - 303
Copyright
Copyright © Reidel 1978

References

Benest, D., 1974, Astron. Astrophys. 32, 39 Google Scholar
Benest, D., 1975, Astron. Astrophys. 45, 353 Google Scholar
Benest, D., 1976a, Cel. Mech. 13, 203 CrossRefGoogle Scholar
Benest, D., 1976b, Astron. Astrophys. to be published Google Scholar
Benest, D., 1976c, Astron. Astrophys. to be published Google Scholar