On the roto-translatory motion of a satellite of an oblate primary

Details On the roto-translatory motion of a satellite of an oblate primary On the roto-translatory motion of a satellite of an oblate primary

Oct 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993cemda..57..189f&link_type=abstract

Celestial Mechanics and Dynamical Astronomy (ISSN 0923-2958), vol. 57, no. 1-2, p. 189-202

Mathematics

1

Canonical Forms, Oblate Spheroids, Orbit Calculation, Orbit Perturbation, Planetary Orbits, Satellite Orbits, Satellite Rotation, Translational Motion, Artificial Satellites, Hamiltonian Functions, Natural Satellites, Singularity (Mathematics), Transformations (Mathematics)

Scientific paper

We deal with the problem of the motion of a triaxial satellite of an oblate primary of larger mass. We show that the treatment is simplified by using a canonical set of variables previously introduced by the authors, that allows a drastic reduction in the expansions of the potential. A general method to avoid the appearance of virtual singularities when the angles between certain planes are small is designed. Our approach is applicable either to natural or artificial satellites.

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