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

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)

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1960
Accession Number
AD0257156

Entities

People

  • N. Moiseyev

Organizations

  • National Air and Space Intelligence Center

Tags

DTIC Thesaurus Topics

  • Celestial Mechanics
  • Construction
  • Equations
  • Equations Of Motion
  • Instability
  • Mathematics
  • Mechanics
  • Physics
  • Three Dimensional
  • Transverse

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Control Systems Engineering.

Technology Areas

  • Space