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