A fast procedure solving Gauss' form of Kepler's equation

被引：6

作者：

Fukushima, T ^{[1
]}

机构：

[1] Natl Astron Observ, Mitaka, Tokyo 181, Japan

来源：

CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY | 1998年 / 70卷 / 02期

关键词：

Gauss' method; Kepler's equation; nearly parabolic orbit;

D O I：

10.1023/A:1026479306748

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We developed a procedure solving Gauss' form of Kepler's equation, which is suitable for determining position in the nearly parabolic orbits. The procedure is based on the combination of asymptotic solutions, the method of bisection, and the Newton method of succesive correction. It runs 3-4 times faster than the original Gauss' method.

引用

页码：115 / 130

页数：16