The Staeckel harmonic potential in elliptic and parabolic cylindrical coordinates

Details The Staeckel harmonic potential in elliptic and parabolic cylindrical coordinates The Staeckel harmonic potential in elliptic and parabolic cylindrical coordinates

Feb 1979

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979azh....56..151b&link_type=abstract

Astronomicheskii Zhurnal, vol. 56, no. 1, 1979, p. 151-154. In Russian.

Astronomy and Astrophysics

Astronomy

Astronomical Coordinates, Celestial Mechanics, Cylindrical Coordinates, Elliptical Cylinders, Harmonic Analysis, Parabolic Bodies, Potential Theory, Differential Equations, Laplace Equation, Linear Equations

Scientific paper

Expressions are determined for harmonic potentials that satisfy
Staeckel's theorem in three-dimensional Euclidean space. These
expressions are obtained as general solutions to Laplace's differential
equation in elliptic and parabolic cylindrical coordinates.

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