Secular motion in a 2nd degree and order-gravity field with no rotation

被引：36

作者：

Scheeres, DJ ^{[1
]}

Hu, W ^{[1
]}

机构：

[1] Univ Michigan, Dept Aerosp Engn, Ann Arbor, MI 48109 USA

来源：

CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY | 2001年 / 79卷 / 03期

关键词：

dipole gravity; secular motion; averaging methods; analytical solution;

D O I：

10.1023/A:1017555005699

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

The motion of a particle about a non-rotating 2nd degree and order-gravity field is investigated. Averaging conditions are applied to the particle motion and a qualitative analysis which reveals the general character of motion in this system is given. It is shown that the orbit plane will either be stationary or precess about the body's axis of minimum or maximum moment of inertia. It is also shown that the secular equations for this system can be integrated in terms of trigonometric, hyperbolic or elliptic functions. The explicit solutions are derived in all cases of interest.

引用

页码：183 / 200

页数：18

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