A Perturbation Solution of the Main Problem in Artificial Satellite Theory

Abstract

The main problem of artificial satellite theory is a restricted two body problem in which the Legendre Polynomial representation of the cylindrically symmetric potential contains only the first two terms. A generalized asymptotic expansion is used to obtain a first order approximation. The solution at the critical inclination is seen to be of a different type than at other inclinations. The solution is finite for all eccentricities and inclinations when suitably restricted in time.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1990
Accession Number
ADA231560

Entities

People

  • Christopher P. Sagovac

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • Space

DTIC Thesaurus Topics

  • Angular Momentum
  • Artificial Satellites
  • Classification
  • Coordinate Systems
  • Eccentricity
  • Energy
  • Equations
  • Equations Of Motion
  • Mathematics
  • Mechanical Energy
  • Mechanics
  • Notation
  • Numerical Integration
  • Perturbations
  • Schools
  • Security
  • Space Systems

Fields of Study

  • Mathematics

Readers

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

Technology Areas

  • Space
  • Space - Orbital Debris