Subharmonic solutions in the restricted three-body problem

Hildeberto E. Cabral; Zhihong Xia

doi:10.3934/dcds.1995.1.463

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1995, Volume 1, Issue 4: 463-474. Doi: 10.3934/dcds.1995.1.463

This issue Previous Article Next Article Schrödinger equations with nonlinearity of integral type

Subharmonic solutions in the restricted three-body problem

Hildeberto E. Cabral¹ and
Zhihong Xia^2,

1.
Departmento de Mathematica, Universidade Federal de Pernambuco, 50739 Recife, PE
2.
Department of Mathematics, Northwestern University, Evanston, Illinois 60208

Received: August 1995

Published: October 1995

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Abstract

In this paper, we study the subharmonic bifurcations in the restricted three-body problem. By study the Melnikov integrals for the subharmonic solutions, we obtain the precise bifurcation scenario nearby the circular solutions when one of the two primaries is small.

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Mathematics Subject Classification: 70F07.

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