On linking coefficient of two Keplerian orbits
type: Item
instance of: scholarly article
title: On linking coefficient of two Keplerian orbits
zbMATH Open document ID: 0973.70010
DOI: 10.1023/A:1008384004589
author: Nikolay N. Vassiliev
author: K. V. Kholshevnikov
published in: Celestial Mechanics and Dynamical Astronomy
publication date: 2000-06-21T00:00:00Z
review text: The authors propose three criteria to distinguish linked, nonlinked and coplanar or intersecting positions of two Keplerian orbits. The function of the set elements of pairs of Keplerian ellipses is defined in such a way that the sign of the function is a topological invariant of ellipses' configuration. In particular, the sign of the function is negative if and only if the related ellipses are linked. The authors also give formulas which represent the linking coefficients as functions of orbital elements.
Mathematics Subject Classification ID: 70F05
Mathematics Subject Classification ID: 70F15
zbMATH DE Number: 1462402
zbMATH Keywords: two Keplerian orbits
zbMATH Keywords: topological invariant
zbMATH Keywords: linking coefficients
zbMATH Keywords: orbital elements
reviewed by: Gasanbek T. Arazov
MaRDI profile type: Publication
full work available at URL: a:1008384004589
OpenAlex ID: W1634904686
description: scientific article; zbMATH DE number 1462402