Accession Number : AD0289685

Title :   CRITERIA FOR SCHROEDINGER SEPARABILITY APPLIED TO SATELLITE ORBIT THEORY

Corporate Author : AIR PROVING GROUND CENTER EGLIN AFB FLA

Personal Author(s) : FITZPATRICK,P.M. ; FINDLEY,G.B.

Report Date : NOV 1962

Pagination or Media Count : 1

Abstract : Certain criteria for separating the Schroedinger wave equation of quantum mechanics will also permit separation of the Hamilton-Jacobi equation of classical mechanics. In particular, a potential which leads to separability under these criteria must have the same functional form for either equation. The most general axially symmetric gravitational potential which permits Hamilton-Jacobi separability in spherical coordinates is found to be the sum of the zeroth and first spherical harmonics. This result is discussed in relation to several other gravitational potentials which have been used in artificial satellite orbit studies. (Author)

Descriptors :   ENERGY, MATHEMATICAL ANALYSIS, MECHANICS, ORBITS, POSITION FINDING, QUANTUM THEORY, THEORY

Distribution Statement : APPROVED FOR PUBLIC RELEASE