Expansion of the two-body force function

Details Expansion of the two-body force function Expansion of the two-body force function

Dec 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976azh....53.1318k&link_type=abstract

Astronomicheskii Zhurnal, vol. 53, Nov.-Dec. 1976, p. 1318-1324. In Russian.

Mathematics

Celestial Mechanics, Gravitational Fields, Two Body Problem, Functions (Mathematics), Integral Equations, Moments Of Inertia, Polynomials

Scientific paper

A general expansion of the mutual-attraction force function is obtained for two bodies having three planes of geometric and dynamic symmetry. The expansion pertains to two systems of major central axes of inertia for bodies whose mutual location and orientation are uniquely determined by so-called group variables. The expansion coefficients are symmetric polynomials relative to the group angular variables, while the polynomial coefficients depend on higher-order moments of inertia. An approximation differing from the classical one is developed, and the problem is solved using symmetric functions.

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