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
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
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页码:221 / 240
页数:20
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