Some particular solutions of the restricted problem of three rigid bodies

Details Some particular solutions of the restricted problem of three rigid bodies Some particular solutions of the restricted problem of three rigid bodies

Dec 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982azh....59.1218e&link_type=abstract

(Astronomicheskii Zhurnal, vol. 59, Nov.-Dec. 1982, p. 1218-1224) Soviet Astronomy (ISSN 0038-5301), vol. 26, Nov.-Dec. 1982, p.

Astronomy and Astrophysics

Astronomy

3

Celestial Mechanics, Motion Stability, Rigid Structures, Three Body Problem, Hamiltonian Functions, Orbit Perturbation, Rotation, Translational Motion

Scientific paper

The problem of the translational-rotational motion of a triaxial rigid body is formulated in the restricted problem of three rigid bodies. The motion of the body is described by canonical osculating elements. The existence of particular regular solutions for the rigid body in a first approximation is established on the basis of the Gaussian averaging scheme. The question of the stability of these motions in the Lyapunov sense is investigated in a first approximation.

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