
Accession Number : AD0287430
Title : ON A CHARACTERISTIC FUNCTION AND AN INVARIANT TRIPLE INTEGRAL OF SATELLITE MOTION
Corporate Author : AIR FORCE OFFICE OF SCIENTIFIC RESEARCH ARLINGTON VA
Personal Author(s) : KNOTHE,HERBERT
Report Date : SEP 1962
Pagination or Media Count : 1
Abstract : A study is presented on the basis of ''Satellites and Riemannian Geometry'' (Knothe, Mathematics Umbraticola, May 17, 1962). The following deductions lead to explicit representations of the g's in the case of the ''bulge'' potential of the earth, to an explicit expression for the function psi, called the characteristic function of satellite motion, and to an expliit expression for a new invariant triple integrl which shows a similarity to Liouville's theorem in Ergodic heory. (Author)
Descriptors : *SATELLITES (ARTIFICIAL), EARTH, EQUATIONS, INTEGRAL EQUATIONS, MAGNETIC FIELDS, MATHEMATICAL ANALYSIS, ORBITS, PERTURBATION THEORY, THEORY
Distribution Statement : APPROVED FOR PUBLIC RELEASE