Analytic continuation of circular and elliptic Kepler motion to the general 3-body problem

被引：0
|
作者：
Soler, J [1 ]
机构：
[1] Univ Girona, Dept Informat & Matemat Aplicada, Girona 17071, Spain
来源：
HAMILTONIAN SYSTEMS AND CELESTIAL MECHANICS (HAMSYS-98), PROCEEDINGS | 2000年 / 6卷
关键词：
D O I：
10.1142/9789812792099_0019
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
The existence of families of periodic solutions of the general planetary 3-body problem in which one of the orbits is ellipic is shown. Each family derives from uncoupled circular and elliptic Kepler motion in a given resonance, with the eccentricity of the elliptic orbit as the parameter. The standard method of Poincare's analytic continuation cannot be directly applied due to the vanishing of a determinant, so a strong form of the implicit function theorem is used.
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页码：331 / 348
页数：18
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