Global Bifurcations of Periodic solutions of the Hill Lunar Problem*

被引：0
作者：
A.J. Maciejewski
S.M. Rybicki
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来源：
Celestial Mechanics and Dynamical Astronomy | 2001年 / 81卷
关键词：
autonomous Hamiltonian systems; bifurcation index; global bifurcations of periodic solutions;
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摘要：
We describe global bifurcations of non-stationary periodic solutions of the Hill Lunar Problem. Especially we are interested in description of closed connected sets (continua) of non-stationary periodic solutions which bifurcate from stationary ones. Such continua of solutions of the Hill Lunar Problem are not admissible in H12π \ Λ(H). For the Regularized Hill Lunar Problem we prove that these families are unbounded in H12π. As the main tool we use degree theory for SO(2)-equivariant orthogonal maps defined by S.M. Rybicki.
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页码：279 / 297
页数：18
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