Numerical stabilization of orbital motion
type: Item
instance of: scholarly article
title: Numerical stabilization of orbital motion
zbMATH Open document ID: 1106.70301
author: Victor A. Avdyushev
published in: Celestial Mechanics and Dynamical Astronomy
publication date: 2005-02-23T00:00:00Z
review text: Mainly, the author focuses on Baumgarte's method and its applications in satellite, asteroid, stellar and planetary problems. In the paper arguments are given for the use of energy relations for stabilization in the elliptical two-body problem. Stabilizing properties of Baumgarte's equations and others are discussed. A simple approach is proposed for stabilizing the equations of almost circular motion. By using Baumgarte's technique, the author derives stabilized equations of perturbed restricted three-body problem. It is shown experimentally that stabilization in the problems mentioned above can raise the accuracy of numerical integration by several orders.
Mathematics Subject Classification ID: 70-08
Mathematics Subject Classification ID: 70F15
zbMATH DE Number: 2138065
zbMATH Keywords: Baumgarte method
MaRDI profile type: Publication
full work available at URL: b:cele.0000006765.54357.a8
OpenAlex ID: W1996226161
DOI: 10.1023/B:CELE.0000006765.54357.A8
description: scientific article; zbMATH DE number 2138065