Symbolic-numerical analysis of equilibrium solutions in a restricted four-body problem

被引：13

作者：

Budzko, D. A. ^{[1
]}

Prokopenya, A. N. ^{[2
]}

机构：

[1] Brest State Univ, Brest 224016, BELARUS

[2] Brest State Tech Univ, Brest 224017, BELARUS

来源：

PROGRAMMING AND COMPUTER SOFTWARE | 2010年 / 36卷 / 02期

关键词：

Equilibrium Point; Equilibrium Solution; Body Problem; Computer Algebra System; Equilibrium Curve;

D O I：

10.1134/S0361768810020039

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

Algorithms for searching equilibrium solutions of the circular restricted four-body problem formulated on the basis of triangular Lagrange solutions of the three-body problem are discussed. For small values of one of the two system parameters, equilibrium solutions are found in the form of power series. For large values of this parameter, an algorithm for numerical solution is presented. The proposed algorithms are implemented in the computer algebra system Mathematica.

引用

页码：68 / 74

页数：7