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Stability of Periodic Planetary-Type Orbits of the General Planar N-Body Problem

Published online by Cambridge University Press:  14 August 2015

John D. Hadjidemetriou
John D. Hadjidemetriou*
Affiliation:
University of Thessaloniki, Thessaloniki, Greece

Extract

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It is known that families of periodic orbits in the general N-body problem (N≥3) exist, in a rotating frame of reference (Hadjidemetriou 1975, 1977). A special case of the above families of periodic orbits are the periodic orbits of the planetary type. In this latter case only one body, which we shall call sun, is the more massive one and the rest N-1 bodies, which we shall call planets, have small but not negligible masses. The aim of this paper is to study the properties of the families of periodic planetary-type orbits, with particular attention to stability. To make the presentation clearer, we shall start first with the case N=3 and we shall extend the results to N>3. We shall discuss planar orbits only.

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. 23 - 28
Copyright
Copyright © Reidel 1979 

References

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