New formulation of the two body problem using a continued fractional potential

被引：4
|
作者：
Abd El-Salam, F. A. [1 ,2 ]
Abd El-Bar, S. E. [1 ,3 ]
Rasem, M. [1 ,2 ]
Alamri, S. Z. [1 ]
机构：
[1] Taibah Univ, Fac Sci, Dept Math, Madina, Saudi Arabia
[2] Cairo Univ, Dept Astron, Fac Sci, Cairo 12613, Egypt
[3] Tanta Univ, Dept Math, Fac Sci, Tanta 31527, Egypt
来源：
ASTROPHYSICS AND SPACE SCIENCE | 2014年 / 350卷 / 02期
关键词：
Continued fractions; Two body problem; Integrals of motion; ARTIFICIAL SATELLITE THEORY; METRIC THEORY; CONSTRAINTS; MOTION; ORBIT;
D O I：
10.1007/s10509-014-1800-7
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
In the present work, the two body problem using a potential of a continued fractions procedure is reformulated. The equations of motion for two bodies moving under their mutual gravity is constructed. The integrals of motion, angular momentum integral, center of mass integral, total mechanical energy integral are obtained. New orbit equation is obtained. Some special cases are followed directly. Some graphical illustrations are shown. The only included constant of the continued fraction procedure is adjusted so as to represent the so called J (2) perturbation term of the Earth's potential.
引用
收藏
页码：507 / 515
页数：9
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