Numerical Stabilization of Orbital Motion
Author: Avdyushev, Victor A.
Source: Celestial Mechanics and Dynamical Astronomy, Volume 87, Number 4, December 2003 , pp. 383-409(27)
Abstract: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.
Document Type: Research Article
Affiliations: Celestial Mechanics and Astrometry Department, Applied Mathematics and Mechanics Institute, Tomsk 634050, Russia, Email: firstname.lastname@example.org
Publication date: December 2003