Astronomy and Astrophysics – Astronomy
Scientific paper
Feb 1982
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982pazh....8...57k&link_type=abstract
(Pis'ma v Astronomicheskii Zhurnal, vol. 8, Jan. 1982, p. 57-59.) Soviet Astronomy Letters, vol. 8, Jan.-Feb. 1982, p. 30, 31. T
Astronomy and Astrophysics
Astronomy
Gravitational Fields, Hamiltonian Functions, Mass Distribution, Rotating Bodies, Translational Motion, Cartesian Coordinates, Equations Of Motion
Scientific paper
Abul'naga and Barkin (1980) have considered the problem of the particular solutions for the translational-rotational motion of two rigid bodies, taking into account the third harmonics in the force function of their Newtonian interaction. Attention is given to the Hamiltonian of the problem, the distinctive motion of a body whose dynamical structure is variable, and the introduction of a known function of an independent variable. The solutions may be written in the form of a series. In the stationary case the solutions are the same as those provided by Abul'naga and Barkin. The variation in the dynamical structure of a constant-mass body may occur either because of changes in the density asymmetry or through redistribution of mass within the body. This last case is relevant to the analysis of effects arising from deformation of the body. One instance of a small distortion of this kind would be the tidal deformation of the earth.
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