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Regularization of the Equations of Motion in a Central Force-Field. Application to the Zonal Earth Satellite

Published online by Cambridge University Press:  12 April 2016

R. Cid ,
S. Ferrer  and
A. Elipe
R. Cid
Affiliation:
Departamento de Astronomía, Universidad de Zaragoza, Spain
S. Ferrer
Affiliation:
Departamento de Astronomía, Universidad de Zaragoza, Spain
A. Elipe
Affiliation:
Departamento de Astronomía, Universidad de Zaragoza, Spain

Abstract

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Within the framework of linear and regular celestial mechanics, we revise a recent method of Belen'kii (1981). We generalize some of his results, giving a new regularizing function.

We make an application to the zonal earth satellite, considering the hamiltonian function through the harmonic J4. After the angular variable u has been removed, we introduce a new time and we reduce the problem to a linear equation.

Type
Part I - Satellites and Planets
Information
International Astronomical Union Colloquium , Volume 74: Dynamical Trapping and Evolution in the Solar System , 1983 , pp. 39 - 46
Copyright
Copyright © Reidel 1983

References

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