SYMPLECTIC INTEGRATORS FOR LONG-TERM INTEGRATIONS IN CELESTIAL MECHANICS

被引：89

作者：

Gladman, Brett ^{[1
]}

Duncan, Martin ^{[1
]}

Candy, Jeff ^{[2
]}

机构：

[1] Queens Univ, Dept Phys, Astron Grp, Kingston, ON K7L 3N6, Canada

[2] Univ Alberta, Dept Phys, Edmonton, AB T6G 2J1, Canada

来源：

CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY | 1991年 / 52卷 / 03期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Symplectic integration; numerical integration;

D O I：

10.1007/BF00048485

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We discuss the use of symplectic integration algorithms in long-term integrations in the field of celestial mechanics. The methods' advantages and disadvantages ( with respect to more common integration methods) are discussed. The numerical performance of the algorithms is evaluated using the 2-body and circular restricted 3-body problems. Symplectic integration methods have the advantages of linear phase error growth in the 2-body problem ( unlike most other methods), good conservation of the integrals of the motion, good performance for moderately eccentric orbits, and ease of use. Its disadvantages include a relatively large number of force evaluations and an inability to continuously vary the step size.

引用

页码：221 / 240

页数：20