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Libration of Retrograde Satellite Orbits in the Circular Plane Restricted Three-Body Problem

Published online by Cambridge University Press:  14 August 2015

Daniel Benest
Daniel Benest*
Affiliation:
Observatoire de Nice, Nice, France

Extract

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In the circular plane restricted three-body problem, we study the stable large retrograde non-periodic satellite orbits. We use rotating axes with the origin in the body around which turns the satellite, called its primary. We choose the initial conditions such as Yo=0 and Uo=0, so that an orbit can be represented by a point in the (Xo,Vo) plane. In this plane, the set of stable orbits is represented by a limited region, which we call the stability zone. This zone is composed in general by a large continental region, approximately limited by Lagrange points, and a peninsula more or less elongated.

Type
Part I: Stability, N- and 3-Body Problems, Variable Mass
Information
Symposium - International Astronomical Union , Volume 81: Dynamics of the Solar System , 1979 , pp. 41 - 44
Copyright
Copyright © Reidel 1979 

References

Benest, D., 1976, “Cel. Mech.” 13, pp 203–215 Google Scholar