Symmetric Periodic Orbits and Schubart Orbits in The Charged Collinear Three-Body Problem

被引：1
|
作者：
Ortega, Alberto Castro [1 ]
Falconi, Manuel [1 ]
Lacomba, Ernesto A. [1 ]
机构：
[1] Univ Nacl Autonoma Mexico, Fac Ciencias, Dept Matemat, Mexico City 04510, DF, Mexico
来源：
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS | 2014年 / 13卷 / 02期
关键词：
Continuation method; Schubart orbits; Symmetries; 3; BODIES; EQUILIBRIA; EXISTENCE; PROOF;
D O I：
10.1007/s12346-014-0112-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Using analytic continuation of periodic orbits and symmetries we construct symmetric periodic solutions in the charged collinear three-body problem for the case where the outer particles are sufficiently small and have small charge. The results obtained allows to construct Schubart-like periodic solutions for different values of masses and charges in this setting and for the case of equal masses and charges of the outer bodies we have explicit Schubart periodic solutions.
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收藏
页码：181 / 196
页数：16
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