One case of double resonance in the problem of the translational-rotational motion of three rigid bodies

Details One case of double resonance in the problem of the translational-rotational motion of three rigid bodies One case of double resonance in the problem of the translational-rotational motion of three rigid bodies

May 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988kosis..26..469r&link_type=abstract

Kosmicheskie Issledovaniia (ISSN 0023-4206), vol. 26, May-June 1988, p. 469-471. In Russian.

Physics

Orbital Resonances (Celestial Mechanics), Rotating Bodies, Three Body Problem, Translational Motion, Center Of Mass, Euler Equations Of Motion, Gravitational Effects, Orbit Perturbation

Scientific paper

Consideration is given to the restricted circular problem of the translational-rotational motion of three mutually gravitating bodies. An analysis is made of the case of double resonance (between the axial rotation of a body and its orbital motion and between the motion of the rotation axis of a body and the nodal lines of its orbit) in the equations of motion. Double resonance of 1:2 and 1:1 type is examined.

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