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Periodic orbits of the restricted three-body problem
Author(s):
Salem
Mathlouthi
Journal:
Trans. Amer. Math. Soc.
350
(1998),
2265-2276.
MSC (1991):
Primary 34A34;
Secondary 34A47
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Abstract:
We prove, using a variational formulation, the existence of an infinity of periodic solutions of the restricted three-body problem. When the problem has some additional symmetry (in particular, in the autonomous case), we prove the existence of at least two periodic solutions of minimal period  , for every  . We also study the bifurcation problem in a neighborhood of each closed orbit of the autonomous restricted three-body problem.
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Additional Information:
Salem
Mathlouthi
Affiliation:
Faculté des Sciences de Tunis, Département de Mathématiques, Campus Universitaire, 1060, Tunis, Tunisie
DOI:
10.1090/S0002-9947-98-01731-0
PII:
S 0002-9947(98)01731-0
Received by editor(s):
July 20, 1995
Copyright of article:
Copyright
1998,
American Mathematical Society
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