EXISTENCE OF CONDITIONALLY PERIODIC ORBITS FOR THE MOTION OF A SATELLITE AROUND THE OBLATE EARTH.

Abstract

The author's previous results on the convergence of the Poincare-von Zeipel procedure in celestial mechanics are applied to the problem of the motion of a satellite around the oblate earth. The investigation concerns a potential that can vary both longitudinally and latitudinally, and also includes behavior near the critical angle. The existence of conditionally periodic orbits in all these cases is established. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 18, 1965
Accession Number
AD0610693

Entities

People

  • R. B. Barrar

Organizations

  • System Development Corporation

Tags

Communities of Interest

  • Space

DTIC Thesaurus Topics

  • Artificial Satellites
  • Astronomy
  • Celestial Mechanics
  • Convergence
  • Interdisciplinary Science
  • Mechanics
  • Physics
  • Space Sciences

Readers

  • Calculus or Mathematical Analysis
  • Space Exploration and Orbital Mechanics.

Technology Areas

  • Space
  • Space - Orbital Debris