The family of potentials admitting integration of the perturbed two-body problem in regular coordinates

被引：2
|
作者：
Poleshchikov, S. M. [1 ]
Zhubr, A. V. [2 ]
机构：
[1] Syktyvkar Inst Forestry, Syktyvkar, Russia
[2] Komi Sci Ctr, Dept Math, Syktyvkar, Russia
来源：
COSMIC RESEARCH | 2008年 / 46卷 / 03期
关键词：
45.50.Pk;
D O I：
10.1134/S0010952508030039
中图分类号：
V [航空、航天];
学科分类号：
08 ; 0825 ;
摘要：
An infinite system of potentials is presented that admits separation of regular variables in the perturbed two-body problem. The regular coordinates are constructed using a specially selected L-matrix. An explicit solution to the problem in the elliptical case is constructed. In the general case the solution is reduced to inversion of hyper-elliptic integrals. The cases of motion with and without constraints are considered. The results of numerical experiments are presented.
引用
收藏
页码：202 / 214
页数：13
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