One of the solutions for the Laplace equation and its physical interpretation

Details One of the solutions for the Laplace equation and its physical interpretation One of the solutions for the Laplace equation and its physical interpretation

Feb 1975

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975cemec..11...79b&link_type=abstract

Celestial Mechanics, vol. 11, Feb. 1975, p. 79-94.

Physics

1

Celestial Mechanics, Coordinates, Existence Theorems, Laplace Equation, Disturbing Functions, Ellipsoids, Equations Of Motion, Orbital Mechanics, Theorem Proving

Scientific paper

The general solution of the Laplace equation in ellipsoidal coordinates which satisfies Stackel's theorem is derived. A physical interpretation is given which includes the description of the shape and dimensions as well as the density distribution in a material body which has the same gravitational force function as that given by the general solution for the Laplace equation.

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