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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

References.

Belen’kii, I.M.: 1981a, Celes. Mech. 23, 9–31 Google Scholar
Belen’kii, I.M.:1981b, PMM U.R.S.S. 45, 24–29 Google Scholar
Caballero, J.A.: 1975, Tesis Doctoral. Universidad Zaragoza Google Scholar
Cid, R., Ferrer, S., Elipe, A.: 1982, IX Jornadas Hisp-Lusas de Mat. Salamanca (to appear)Google Scholar
Deprit, A.: 1981, Celes. Mech., 23, 299–305 Google Scholar
Ferrer, S., Elipe, A.: 1982, IX Jornadas Hisp-Lusas de Mat. Salamanca.(to appear)Google Scholar
Hill, G.W.: 1913, Astron. J., 27, 171 Google Scholar
Kustaanheimo, P., Stiefel, E.: 1965, J.R.A.M., 218, 204–219 Google Scholar
Scheifele, G., Stiefel, E.: 1971, Linear and Regular Celestial Mechanics Springer-Verlag, Berlin.Google Scholar
Szebehely, V.: 1976, Celes. Mech. 14, 499–508.CrossRefGoogle Scholar