The KS-transformation revisited
type: Item
instance of: scholarly article
title: The KS-transformation revisited
zbMATH Open document ID: 0847.70014
DOI: 10.1007/BF00989522
published in: Meccanica
publication date: 1994-09-05T00:00:00Z
review text: The paper searches for a relationship between the physical, characteristic elements of the Kepler orbit and the abstract, theoretical formulation of the Kustaaheimo-Stiefel (KS) map. A simple hodograph approach to the integrals of the Keplerian motion is given. The KS-map represents a particular roto-dilation in the physical Euclidean space which carries the third vector of the fixed reference frame onto the position vector of the orbiting particle.
reviewed by: Johannes Viktor Feitzinger
Mathematics Subject Classification ID: 70F15
Mathematics Subject Classification ID: 70F05
zbMATH DE Number: 633704
zbMATH Keywords: Runge-Lenz vector
zbMATH Keywords: orbital elements
zbMATH Keywords: integrals of motion
zbMATH Keywords: Kepler orbit
zbMATH Keywords: hodograph approach
zbMATH Keywords: physical Euclidean space
zbMATH Keywords: position vector
author: Maria Dina Vivarelli
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 633704