Sitnikov restricted four-body problem with radiation pressure

被引：34

作者：

Suraj, Md Sanam ^{[1
]}

Hassan, M. R. ^{[2
]}

机构：

[1] Univ Delhi, Dept Math, Shaheed Bhagat Singh Coll, New Delhi 110017, India

[2] SM Coll, Dept Math, Bhagalpur 812007, India

来源：

ASTROPHYSICS AND SPACE SCIENCE | 2014年 / 349卷 / 02期

关键词：

Sitnikov problem; Four-body problem; Lindstedt-Poincare method; Perturbation theory; Radiation pressure; 3-BODY PROBLEM; PERIODIC-ORBITS; TRIANGULAR POINTS; MOTIONS; BIFURCATIONS; OBLATENESS; STABILITY; EXISTENCE; FAMILIES;

D O I：

10.1007/s10509-013-1687-8

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

An analytical study of the elliptic Sitnikov restricted four-body problem when all the primaries as source of same radiation pressure is presented. We find a solution, which is valid for small bounded oscillations in case of moderate eccentricity of the primary. We have linearized the equation of motion to obtain the Hill's type equation. Using the Courant and Snyder transformation, Hill's equation transformed into harmonic oscillator type equation. We have used the Lindstedt-Poincare perturbation method and again we have applied the Courant and Snyder transformation to obtain the final result.

引用

页码：705 / 716

页数：12

共 32 条

[1] The effect of photogravitational force and oblateness in the perturbed restricted three-body problem [J].