On periodic solutions of the problem of motion of a rigid body around a mass center in a central Newtonian field.

Details On periodic solutions of the problem of motion of a rigid body around a mass center in a central Newtonian field. On periodic solutions of the problem of motion of a rigid body around a mass center in a central Newtonian field.

Apr 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991kosis..29..172e&link_type=abstract

Kosmicheskie Issledovaniia, Tom 29, Vyp. 2, p. 172 - 177

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Scientific paper

The equations of motion of a rigid body about a fixed point in a central Newtonian field are reduced to the equation of plane motion under the action of potential and gyroscopic forces, using the isothermal coordinates on the inertia ellipsoid. The construction of periodic solutions in the neighbourhood of nearly equilibrium points, by using Lyapunov's theorem of the holomorphic integral is obtained and the necessary and sufficient conditions for the stability of the system are given.

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