A new conservative numerical integration algorithm for the three-dimensional Kepler motion based on the Kustaanheimo–Stiefel regularization theory

A new conservative numerical integration algorithm for the three-dimensional Kepler motion is presented which conserves all of the constants of motion including the Runge–Lenz vector. The Kustaanheimo–Stiefel regularization theory plays a central role in the discretization of the equations of motion...

Full description

Saved in:
Bibliographic Details
Published in:Physics letters. A Vol. 324; no. 4; pp. 282 - 292
Main Authors: Minesaki, Yukitaka, Nakamura, Yoshimasa
Format: Journal Article
Language:English
Published: Elsevier B.V 19.04.2004
Subjects:
ISSN:0375-9601, 1873-2429
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:A new conservative numerical integration algorithm for the three-dimensional Kepler motion is presented which conserves all of the constants of motion including the Runge–Lenz vector. The Kustaanheimo–Stiefel regularization theory plays a central role in the discretization of the equations of motion.
ISSN:0375-9601
1873-2429
DOI:10.1016/j.physleta.2004.02.059