Non-canonical perturbations in symplectic integration

被引：10

作者：

Mikkola S. ^{[1
]}

机构：

[1] Tuorla Observatory, University of Turku

来源：

Celestial Mechanics and Dynamical Astronomy | 1998年 / 68卷 / 3期

关键词：

Drag forces; Relativistic terms; Symplectic integration;

D O I：

10.1023/A:1008278821576

中图分类号：

学科分类号：

摘要：

The inclusion of non-canonical perturbations in symplectic integration schemes has been discussed. A rigorous derivation of an analog for the Wisdom-Holman (1991) method, such that velocity dependent forces can be included, has been outlined. This is done both by using the δ-function formalism and also by means of formal Hamiltonization. Application to the relativistic corrections in Solar System integrations is discussed as an example. Numerical experiments confirm the usefulness of the method.

引用

页码：249 / 255

页数：6

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