Symplectic tangent map for planetary motions
type: Item
instance of: scholarly article
title: Symplectic tangent map for planetary motions
zbMATH Open document ID: 0967.70006
DOI: 10.1023/A:1008312912468
author: Seppo Mikkola
author: Kimmo Innanen
published in: Celestial Mechanics and Dynamical Astronomy
publication date: 2000-09-04T00:00:00Z
review text: A detailed presentation of algorithms related to the numerical estimation of tangent maps and state transition matrices for nearly Keplerian \(n\)-body systems formulated in the classical variational form is given and applied to various cases. The method is characterized by better accuracy (as the analytic differentiation replaces the numerical one for adjacent orbits), and by considerable computational savings.
Mathematics Subject Classification ID: 70-08
Mathematics Subject Classification ID: 70F10
Mathematics Subject Classification ID: 65P10
Mathematics Subject Classification ID: 70F15
zbMATH DE Number: 1439255
zbMATH Keywords: symplectic tangent map
zbMATH Keywords: planetary systems
zbMATH Keywords: Lyapunov exponents
zbMATH Keywords: chaos
zbMATH Keywords: symplectic integration
zbMATH Keywords: nearly Keplerian \(n\)-body systems
zbMATH Keywords: state transition matrices
zbMATH Keywords: analytic differentiation
reviewed by: Maria Gousidou-Koutita
MaRDI profile type: Publication
full work available at URL: a:1008312912468
OpenAlex ID: W2294497971
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description: scientific article; zbMATH DE number 1439255