The Motion of a Lunar Satellite,

Abstract

Presented in this theory is a semianalytical solution for the problem of the motion of a satellite in orbit around the Moon. The principal perturbations on such a body are due to the nonspherical gravity field of the Moon, the attraction of the Earth, and, to a lesser degree. the attraction of the Sun. The major part of the problem is solved by means of the celebrated van Zeipel Method, first successfully applied to the motion of an artificial Earth satellite by Brouwer in 1959. After eliminating from the Hamiltonian all terms with the period of the satellite and those with the period of the Moon, it is suggested to solve the remaining problem with the aid of numerical integration of the modified equations of motion. (Author)

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1966
Accession Number
AD0721078

Entities

People

  • Claus Oesterwinter

Organizations

  • Naval Surface Warfare Center Dahlgren Division

Tags

Communities of Interest

  • Space

DTIC Thesaurus Topics

  • Artificial Satellites
  • Equations
  • Equations Of Motion
  • Lunar Satellites
  • Mathematical Analysis
  • Mathematics
  • Numerical Analysis
  • Numerical Integration
  • Numerical Methods And Procedures
  • Perturbations

Readers

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

Technology Areas

  • Space
  • Space - Orbital Debris