AN IMPLEMENTATION OF N-BODY CHAIN REGULARIZATION

被引：206

作者：

Mikkola, Seppo ^{[1
]}

Aarseth, Sverre J. ^{[2
]}

机构：

[1] Univ Turku, Turku Univ Observ, SF-20500 Turku, Finland

[2] Univ Cambridge, Inst Astron, Cambridge CB3 0HA, England

来源：

CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY | 1993年 / 57卷 / 03期

关键词：

Regularization; Few-body problem; KS-regularization;

D O I：

10.1007/BF00695714

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

The chain regularization method (Mikkola and Aarseth 1990) for high accuracy computation of particle motions in small N-body systems has been reformulated. We discuss the transformation formulae, equations of motion and selection of a chain of interparticle vectors such that the critical interactions requiring regularization are included in the chain. The Kustaanheimo-Stiefel (KS) coordinate transformation and a time transformation is used to regularize the dominant terms of the equations of motion. The method has been implemented for an arbitrary number of bodies, with the option of external perturbations. This formulation has been succesfully tested in a general N-body program for strongly interacting subsystems. An easy to use computer program, written in FORTRAN, is available on request.

引用

页码：439 / 459

页数：21

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