Radial periodic perturbations of the Kepler problem

被引：0
|
作者：
Alessandro Fonda
Anna Chiara Gallo
机构：
[1] Università di Trieste,Dipartimento di Matematica e Geoscienze
来源：
Celestial Mechanics and Dynamical Astronomy | 2017年 / 129卷
关键词：
Kepler problem; Periodic solutions; Radially symmetric systems; 34C25;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We consider radial periodic perturbations of a central force field and prove the existence of rotating periodic solutions, whose orbits are nearly circular. The proof is mainly based on the Implicit Function Theorem, and it permits to handle some small perturbations involving the velocity, as well. Our results apply, in particular, to the classical Kepler problem.
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页码：257 / 268
页数：11
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