Accession Number : AD0257156

Title :   SEVERAL GENERAL METHODS OF QUALITATIVE STUDY OF THE FORMS OF MOTION IN PROBLEMS OF CELESTIAL MECHANICS

Corporate Author : FOREIGN TECHNOLOGY DIV WRIGHT-PATTERSON AFB OHIO

Personal Author(s) : MOISEYEV,N.

Report Date : OCT 1960

Pagination or Media Count : 1

Abstract : IN THE PRECEDING INVESTIGATION (Trudy Gaish, Proc. of the State Astronomical Inst., Vol. IX, No. 2, 1939) methods were considered of constructing regions of continuous stability and instability in Lyapunov's sense in phase space for a certain dynamic problem. Simultaneously, consider-ABLE ATTENTION WAS DEVOTED TO CONSIDERATION OF THE PROBLEM OF CONSTRUCTION OF THE REGIONS OF TRANSVERSE AND LONGITUDINAL STABILITY. However, this treatment was only carried out for the particular case of a two- and a three-dimensional phase space. The purpose of the present work is to present the results of investigation of the characteristics of a longitudinal and transverse stability in the general case of an n-dimensional phase space. The equations of motion are assumed not to contain the time t explicitly. (Author)

Descriptors :   *CELESTIAL MECHANICS, *DYNAMICS, DIFFERENTIAL EQUATIONS, MATHEMATICAL ANALYSIS, MOTION, STABILITY

Distribution Statement : APPROVED FOR PUBLIC RELEASE