
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 HamiltonJacobi 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 HamiltonJacobi 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