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

Cid, R.; Ferrer, S.; Elipe, A.

doi:10.1007/978-94-009-7214-8_5

R. Cid³,
S. Ferrer³ &
A. Elipe³

Part of the book series: Astrophysics and Space Science Library ((ASSL,volume 106))

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Abstract

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.

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References

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Authors and Affiliations

Departamento de Astronomía, Universidad de Zaragoza, Spain
R. Cid, S. Ferrer & A. Elipe

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R. Cid
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S. Ferrer
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A. Elipe
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Editors and Affiliations

Dept. of Engineering Science, University of Patras, Patras, Greece
Vassilis V. Markellos
Tokyo Astronomical Observatory, Mitaka, Tokyo, 181, Japan
Yoshihide Kozai

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Cid, R., Ferrer, S., Elipe, A. (1983). Regularization of the Equations of Motion in a Central Force-Field. Application to the Zonal Earth Satellite. In: Markellos, V.V., Kozai, Y. (eds) Dynamical Trapping and Evolution in the Solar System. Astrophysics and Space Science Library, vol 106. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-7214-8_5

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DOI: https://doi.org/10.1007/978-94-009-7214-8_5
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-009-7216-2
Online ISBN: 978-94-009-7214-8
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