Subharmonic solutions in the restricted three-body problem

Pages: 463 - 474, Volume 1, Issue 4, October 1995

doi:10.3934/dcds.1995.1.463       Abstract        Full Text (219.7K)       Related Articles

Hildeberto E. Cabral - Departmento de Mathematica, Universidade Federal de Pernambuco, 50739 Recife, PE, Brazil (email)
Zhihong Xia - Department of Mathematics, Northwestern University, Evanston, Illinois 60208, United States (email)

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.

Keywords:   subharmonic bifurcations, restricted three-body problem, Melnikov integrals.
Mathematics Subject Classification:  70F07.

Received: August 1995;      Published: August 1995.