SATELLITE MOTION ABOUT AN UNSYMMETRICAL BODY

Abstract

The integrability of the equations of motion of a particle in a plane attracted by two fixed Newtonian centers of force in the plane of motion is examined. An analysis of the solution of this problem which involves elliptic functions has recently been given by R. R. Newton (Jnl. Appl. Physics, 30(1):115-117, 1959) in relation to the number of rotations of a satellite of the moon before impact with the moon occurs. The motion of the satellite is studied by applying the nonlinear technique of KryloffBogoliuboff (Introduction to Nonlinear Mech., J. W. Edwards, Ann Arbor, Mich., 1947) and show that if the perturbing mass is close to the principal center of force, the motion of the satellite remains essentially elliptic. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 20, 1959
Accession Number
AD0264296

Entities

People

  • H. Lass
  • J. Lorell

Organizations

  • Jet Propulsion Laboratory

Tags

Communities of Interest

  • Space

DTIC Thesaurus Topics

  • Artificial Satellites
  • Equations
  • Equations Of Motion
  • Mathematics
  • Particles
  • Rotation

Fields of Study

  • Mathematics

Readers

  • Academic Conference Management
  • Space Exploration and Orbital Mechanics.
  • Structural Dynamics.

Technology Areas

  • Space
  • Space - Orbital Debris