Invariant expansion of the mutual-attraction force function for a system of bodies

Details Invariant expansion of the mutual-attraction force function for a system of bodies Invariant expansion of the mutual-attraction force function for a system of bodies

Oct 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989azh....66.1081u&link_type=abstract

Astronomicheskii Zhurnal (ISSN 0004-6299), vol. 66, Sept.-Oct. 1989, p. 1081-1092. In Russian.

Statistics

Computation

1

Computational Astrophysics, Force Distribution, Gravitational Effects, Many Body Problem, Density Distribution, Differential Equations, Mass Distribution, Moments Of Inertia

Scientific paper

The mathematical formalism of irreducible tensors is used to construct an invariant expansion for the mutual-attraction force function of N bodies having arbitrary shapes and an arbitrary mass density distribution. Attention is given to the problem of the invariant representation of the force and force moment of the pair gravitational interaction of bodies determined by means of the force function. Tensors of the moments of inertia of various ranks are derived for an inhomogeneous sphere, a triaxial ellipsoid, a paralleliped, and a cylinder, making it possible to obtain an invariant force function of attraction for bodies of various geometries.

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