The expansion of the force function in the problem of two finite bodies

Details The expansion of the force function in the problem of two finite bodies The expansion of the force function in the problem of two finite bodies

Sep 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976cemec..14..239d&link_type=abstract

Celestial Mechanics, vol. 14, Sept. 1976, p. 239-281. In French.

Physics

6

Celestial Mechanics, Field Theory (Physics), Gravitational Fields, Transcendental Functions, Two Body Problem, Polynomials, Series Expansion

Scientific paper

The paper considers the expansion of the force function of two arbitrary finite bodies whose elementary particles attract each other (gravitationally) with a force proportional to some extent of the distance between them. The general structure of the expansion is examined and a complete expression is given for the first terms of the series to the fourth order inclusive. Two particular cases are examined: that where both bodies posses three planes of symmetry, and that where both possess axial symmetry.

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