Families of first kind periodic solutions of the spatial and planar elliptic restricted three-body problem with collision

被引：0

作者：

Dias, Lucia Brandao ^{[2
]}

Vidal, Claudio ^{[1
]}

机构：

[1] Univ Bio Bio, Fac Ciencias, Dept Matemat, Concepcion, Chile

[2] Univ Fed Sergipe, Nucelo Matemat, Itabaiana, SE, Brazil

来源：

CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY | 2010年 / 106卷 / 04期

关键词：

Restricted three-body problem; Spatial restricted three-body problem with collision; Averaging method; Periodic solutions; Symmetries; Continuation's method; Poincare-Delaunay variables; ORBITS;

D O I：

10.1007/s10569-009-9251-0

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We consider a restricted three-body problem where the primaries are moving in an elliptic collision orbit and the infinitesimal mass moves in a three dimensional space. This paper is devoted to prove analytically the existence of several families of symmetric periodic solutions as continuation of Keplerian circular orbits. In our approach the perturbing parameter is related with the energy of the primaries.

引用

页码：339 / 370

页数：32

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