# American Institute of Mathematical Sciences

1995, 1(4): 463-474. doi: 10.3934/dcds.1995.1.463

## Subharmonic solutions in the restricted three-body problem

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

Received  August 1995 Published  August 1995

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.
Citation: Hildeberto E. Cabral, Zhihong Xia. Subharmonic solutions in the restricted three-body problem. Discrete & Continuous Dynamical Systems - A, 1995, 1 (4) : 463-474. doi: 10.3934/dcds.1995.1.463
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