INSTABILITY OF PERIODIC MOTIONS NEAR COLLINEAR POINTS OF LIBRATION IN THE RESTRICTED PROBLEM OF THREE BODIES, REPORT 4,

Abstract

Examined is the problem of periodic motions near collinear points of libration in the plane restricted problem of three bodies. With the aid of the Lyapunov methods, it is demonstrated that around each collinear point of libration a continuous family of periodic motions exists, dependent on one arbitrary constant. Examined is the stability of the indicated periodic motions; it is shown that they are unstable. Also established is the orbital instability of the periodic motions under study.

Document Details

Document Type
Technical Report
Publication Date
Feb 13, 1967
Accession Number
AD0649044

Entities

People

  • G. N. Duboshin

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Instability

Fields of Study

  • Mathematics

Readers

  • Control Systems Engineering.
  • Space Exploration and Orbital Mechanics.

Technology Areas

  • Space
  • Space - Orbital Debris