A method of symplectic integrations with adaptive time-steps for individual Hamiltonians in the planetary N-body problem

被引：31

作者：

Emel'yanenko, Vacheslav Vasilievitch ^{[1
]}

机构：

[1] S Ural Univ, Dept Computat & Celestial Mech, Chelyabinsk 454080, Russia

来源：

CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY | 2007年 / 98卷 / 03期

关键词：

symplectic integration; adaptive integrators; N-body simulations;

D O I：

10.1007/s10569-007-9077-6

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

Anew algorithm is developed for long-term integrations of the N-body problem. The method uses symplectic integrations of the Hamiltonian equations of motion for each body. This allows one to employ individual adaptive time-steps in computations. The efficiency of this technique is demonstrated by several tests performed for typical problems of Solar System dynamics.

引用

页码：191 / 202

页数：12

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