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On two-parameter linearizing transformations for uniform treatment of two-body motion

Published online by Cambridge University Press:  25 May 2016

Luis Floría
Luis Floría*
Affiliation:
GMC, Departamento de Matemática Aplicada a la Ingeniería, E.T.S. de Ingenieros Industriales, Universidad de Valladolid, E-47 011 Valladolid, Spain

Abstract

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Differential changes of time involving two parameters are considered. Universal expressions for dynamical variables of interest in Keplerian motion allow us to reduce the integration of the time transformations to that of integrands depending on an eccentric-like universal anomaly. Elliptic integrals and functions are required to complete the integration.

Keywords

reparametrizing transformationsgeneralized anomaliesuniform treatment of Keplerian systemsuniversal functionselliptic functions
Type
Part VII - The Calculus of Perturbations
Information
Symposium - International Astronomical Union , Volume 172: Dynamics, Ephemerides and Astrometry of the Solar System , 1996 , pp. 299 - 302
Copyright
Copyright © Kluwer 1996 

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