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

共 14 条

[1] [Anonymous], 1991, CELEST MECH DYN ASTR
[2] Battin RH, 1987, INTRO MATH METHODS A
[3] BENIMA B, 1969, PUBL ASTRON SOC PAC, V81, P121
[4] Colwell P., 1993, Solving Kepler's Equation Over Three Centuries
[5] Danby JMA., 1988, FUNDAMENTALS CELESTI
[6] A fast procedure solving Kepler's equation for elliptic case
Fukushima, T
[J]. ASTRONOMICAL JOURNAL, 1996, 112 (06) : 2858 - 2861
[7] A procedure solving the extended Kepler's equation for the hyperbolic case
Fukushima, T
[J]. ASTRONOMICAL JOURNAL, 1997, 113 (05) : 1920 - 1924
[8] Generalization of Encke's method and its application to the orbital and rotational motions of celestial bodies
Fukushima, T
[J]. ASTRONOMICAL JOURNAL, 1996, 112 (03) : 1263 - 1277
[9] A method solving Kepler's equation without transcendental function evaluations
Fukushima, T
[J]. CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, 1997, 66 (03) : 309 - 319
[10] A method solving Kepler's equation for hyperbolic case
Fukushima, T
[J]. CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, 1997, 68 (02) : 121 - 137

← 1 2 →