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Integration of Orbital Motions with Chebyshev Polynomials

Published online by Cambridge University Press:  12 April 2016

Roberto Barrio  and
Antonio Elipe
Roberto Barrio
Affiliation:
Depto. de Matemática Aplicada, Universidad de Zaragoza Zaragoza, Spain
Antonio Elipe
Affiliation:
Depto. de Matemática Aplicada, Universidad de Zaragoza Zaragoza, Spain

Abstract

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In this communication, we use Chebyshev series for integrating orbital motions. The nice properties that Chebyshev polynomials have, such as giving good approximations of functions in the Chebyshev norm, easy handling of their algebra with algebraic manipulators, allowing very big step sizes for integration and giving the solution in the form of polynomials, make these polynomials very attractive in orbit computations.

Type
Theory of Motion
Information
International Astronomical Union Colloquium , Volume 165: Dynamics and Astrometry of Natural and Artificial Celestial Bodies , 1997 , pp. 419 - 424
Copyright
Copyright © Kluwer 1997

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