The Staeckel harmonic force function in axisymmetric coordinates

Details The Staeckel harmonic force function in axisymmetric coordinates The Staeckel harmonic force function in axisymmetric coordinates

Oct 1975

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975azh....52.1084b&link_type=abstract

Astronomicheskii Zhurnal, vol. 52, Sept.-Oct. 1975, p. 1084-1088. In Russian.

Astronomy and Astrophysics

Astronomy

Astronomical Coordinates, Celestial Mechanics, Harmonic Functions, Laplace Equation, Euclidean Geometry, Oblate Spheroids, Partial Differential Equations

Scientific paper

Expressions for the force function satisfying the conditions of the Staeckel theorem in three-dimensional Euclidean space are derived for the cases of oblate spheroidal coordinates, prolate spheroidal coordinates, and spherical coordinates. These expressions are obtained in the form of general solutions to the Laplace equation in axisymmetric coordinates.

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