Intermediate theory of resonant translational-rotational motion of a rigid body in the gravitational field of a sphere

Details Intermediate theory of resonant translational-rotational motion of a rigid body in the gravitational field of a sphere Intermediate theory of resonant translational-rotational motion of a rigid body in the gravitational field of a sphere

Feb 1979

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979azh....56..155b&link_type=abstract

Astronomicheskii Zhurnal, vol. 56, no. 1, 1979, p. 155-163. In Russian.

Astronomy and Astrophysics

Astronomy

2

Celestial Mechanics, Gravitational Fields, Planetary Rotation, Resonant Frequencies, Spheres, Translational Motion, Equations Of Motion, Expansion, Mercury (Planet), Moon, Rigid Structures

Scientific paper

An approximate analytical solution to the Delaunay-Hill-averaged equations of planar motion is obtained for a rigid body in the gravitational field of a sphere. Formulas are provided for calculating the expansion coefficients of the relevant osculating elements. These formulas may be used for numerical estimates of the resonance effects caused by the interlocking of the translational and rotational motions of bodies such as the moon and Mercury.

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