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Study of the terms of coupling between rotational and translational motions. (English) Zbl 0613.70024

The equations of the translational-rotational motion of an Earth’s artificial satellite, taking into account only the gravitational attraction, can be put in canonical form using the Delaunay and Andoyer variables. Terms due to the oblateness of the Earth will be considered, as well as, different moments of inertia of the satellite, when it is very close to another. Hori’s Method is applied to analyze the equations and the solution is presented up to the first order.

MSC:

70M20 Orbital mechanics
70H05 Hamilton’s equations
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References:

[1] Cochran, J. E.: 1972,Celest. Mech. 6, 127. · Zbl 0247.70024
[2] Hori, G.: 1966,Publ. Astron. Soc. Japan 18, 287.
[3] Hori, G.: 1971, Reprinted from the Extra Collection of papers Contributed to the IAU Symposium No. 48.
[4] Kinoshita, H.: 1972,Publ. Astron. Soc. Japan 24, 423.
[5] Zanardi, M. C.: 1983, Tese de Mestrado do Instituto Tecnológico de Aeronáutica, São José dos Campos, São Paulo, Brazil.
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