Accession Number:

AD0287430

Title:

ON A CHARACTERISTIC FUNCTION AND AN INVARIANT TRIPLE INTEGRAL OF SATELLITE MOTION

Descriptive Note:

Corporate Author:

AIR FORCE OFFICE OF SCIENTIFIC RESEARCH ARLINGTON VA

Personal Author(s):

• KNOTHE,HERBERT

Report Date:

1962-09-01

Pagination or Media Count:

1.0

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 gs 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 Liouvilles theorem in Ergodic heory. Author

Descriptors:

• *SATELLITES (ARTIFICIAL)
• EARTH
• EQUATIONS
• INTEGRAL EQUATIONS
• MAGNETIC FIELDS
• MATHEMATICAL ANALYSIS
• ORBITS
• PERTURBATION THEORY
• THEORY

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE