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
Belen’kii,I.M.:1981a, Celes. Mech. 23, 9–31.
Belen’kii,I.M.: 1981b, PMM U.R.S.S. 45, 24–29
Caballero, J.A.: 1975, Tesis Doctoral. Universidad Zaragoza
Cid, R., Ferrer, S., Elipe, A.: 1982, I X Jornadas Hisp-Lusas de Mat. Salamanca (to appear)
Deprit, A.: 1981, Celes. Mech., 23, 299–305
Ferrer, S., Elipe, A.: 1982, I X Jornadas Hisp-Lusas de Mat. Salamanca (to appear)
Hill, G.W.: 1913, Astron. J., 27, 171
Kustaanheimo, P., Stiefel, E.: 1965, J.R.A.M., 218, 204–219
Scheifele, G., Stiefel, E.: 1971, Linear and Regular Celestial Mechanics Springer-Verlag, Berlin.
Szebehely, V.: 1976, Celes. Mech. 14, 499–508.
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© 1983 D. Reidel Publishing Company, Dordrecht, Holland
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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 Trap** 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
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