Translational-rotational motion of a rigid body in the restricted problem of three rigid bodies

Details Translational-rotational motion of a rigid body in the restricted problem of three rigid bodies Translational-rotational motion of a rigid body in the restricted problem of three rigid bodies

Oct 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984azh....61.1013e&link_type=abstract

(Astronomicheskii Zhurnal, vol. 61, Sept.-Oct. 1984, p. 1013-1020) Soviet Astronomy (ISSN 0038-5301), vol. 28, Sept.-Oct. 1984,

Astronomy and Astrophysics

Astronomy

2

Orbital Mechanics, Rigid Structures, Rotation, Three Body Problem, Translational Motion, Differential Equations, Hamiltonian Functions, Kepler Laws, Resonance

Scientific paper

The steady-state solutions of the averaged differential equations of translational-rotational motion of a passively gravitating body of arbitrary structure in the gravitational field of a triaxial body and a homogeneous sphere are investigated when there is resonance between the rotational motion of the triaxial body and the orbital and rotational motions of the passively gravitating body. The question of the stability of the solutions found on the strength of the averaged equations is considered.

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