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Asymmetric Periodic Orbits in the Three-Body Problem and Their Stability

Published online by Cambridge University Press:  12 April 2016

A. Tsouroplis  and
C.G. Zagouras
A. Tsouroplis
Affiliation:
University of Patras, Patras, Greece
C.G. Zagouras
Affiliation:
University of Patras, Patras, Greece

Abstract

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An algorithm for the numerical determination of asymmetric periodic solutions of the planar general three body problem is described. The elements of the “variational” matrix which are used in this algorithm are computed by numerical integration of the corresponding “variational” equations. These elements are also used in the study of the linear isoenergetic stability. A number of asymmetric periodic orbits are presented and their stability parameters are given.

Type
Part IV - Periodic Orbits
Information
International Astronomical Union Colloquium , Volume 74: Dynamical Trapping and Evolution in the Solar System , 1983 , pp. 249 - 256
Copyright
Copyright © Reidel 1983

References

Hadjidemetriou, J.D. 1975, Celes. Mech. 12, 255 CrossRefGoogle Scholar
Markellos, V.V.: 1977, Mon. Not. R. Astr. Soc. 180, 103 CrossRefGoogle Scholar