Behaviour of a new type of Runge-Kutta methods when integrating satellite orbits
type: Item
instance of: scholarly article
title: Behaviour of a new type of Runge-Kutta methods when integrating satellite orbits
zbMATH Open document ID: 0970.70004
DOI: 10.1023/A:1008387322426
author: Pablo Martín
author: David J. López
author: Ana-Belén González
published in: Celestial Mechanics and Dynamical Astronomy
publication date: 2001-10-16T00:00:00Z
review text: The recently formulated Runge-Kutta version of the Scheifele \(G\)-function method is applied and compared (with respect to its accuracy) with other special methods for numerical integration of long-term satellite orbits formulated in either Burdet-Ferrandiz or Kustaanheimo-Stiefel variables. The method is especially designed for numerical integration of perturbed oscillators, and proves to be excellent as it has the small perturbation parameter as a factor of the local truncation error.
Mathematics Subject Classification ID: 70-08
Mathematics Subject Classification ID: 70M20
Mathematics Subject Classification ID: 65P10
zbMATH DE Number: 1462400
zbMATH Keywords: linearization
zbMATH Keywords: symplectic integrator
zbMATH Keywords: Runge-Kutta version of Scheifele \(G\)-function method
zbMATH Keywords: numerical integration
zbMATH Keywords: long-term satellite orbits
zbMATH Keywords: perturbed oscillators
zbMATH Keywords: small perturbation parameter
zbMATH Keywords: local truncation error
reviewed by: Maria Gousidou-Koutita
MaRDI profile type: Publication
full work available at URL: a:1008387322426
OpenAlex ID: W1620241354
description: scientific article; zbMATH DE number 1462400