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Periodic Orbits of Arbitrary Inclinations and Eccentricities in the General 3-Body Problem

Published online by Cambridge University Press:  14 August 2015

C. Marchal
C. Marchal*
Affiliation:
O.N.E.R.A. - 92320 - Châtillon - France

Abstract

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Usual periodic orbits have periods of the order of magnitude of a few revolutions. However if we consider much longer periods it is possible to find, for three given masses, periodic orbits in any neighbourhood of arbitrary given initial eccentricities and inclinations provided that the distance of the outer body is sufficiently large with respect to the mutual distance of the two inner bodies.

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. 29 - 32
Copyright
Copyright © Reidel 1979 

References

Hadjidemetriou, J.D. (1977) “Integration of an oscillating orbit of the second kind”. Private correspondance.Google Scholar
Marchal, C. (1977) “Collisions of stars by oscillating orbits of the second kind” ONERA - T.P. Nd 1977-97E Google Scholar
Poincaré, H. (1892 - 1893 - 1899) “Les méthodes nouvelles de la mécanique céleste” - Gauthier Villars - Paris.Google Scholar