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Regions of Escape on the Velocity Ellipsoid for the Planar Three Body Problem

Published online by Cambridge University Press:  12 April 2016

George Bozis
George Bozis*
Affiliation:
Department of Theoretical Mechanics, University of Thessaloniki

Abstract

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The notion of the velocity ellipsoid for the planar three body problem is given. Using the sufficient conditions for escape of one member of a triple system, given by Standish (1971), a region is found on the velocity ellipsoid for which escape is guaranteed.

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. 357 - 369
Copyright
Copyright © Reidel 1978

References

1. Birkhoff, G.: 1927, Dynamical Systems, (published by the A.M.S., Providence, Rhode Island).Google Scholar
2. Bozis, G.: 1976, Astroph. and Space Science 43, 355.Google Scholar
3. Standish, M.: 1971, Celes. Mech 4, 44.Google Scholar