Intrinsic formulation of the equation of Szebehely

Details Intrinsic formulation of the equation of Szebehely Intrinsic formulation of the equation of Szebehely

Mar 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984cemec..32..209p&link_type=abstract

Celestial Mechanics (ISSN 0008-8714), vol. 32, March 1984, p. 209-216. In French.

Physics

9

Celestial Mechanics, Orbital Mechanics, Partial Differential Equations, Linear Equations, Spherical Coordinates

Scientific paper

The first-order linear partial differential equation developed by Szebehely (1974) for the potentials generating one-given-parameter family of plane orbits, expanded by Broucke (1980), Mertens (1981), and Erdi (1982) to the 3D case, is investigated analytically. An intrinsic formulation permitting the use of various coordinate systems is obtained for the plane case, and analogous techniques are applied in separate treatments of the 3D and N-dimensional cases.

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