Satellite Motion Around an Oblate Planet: A Perturbation Solution for all Orbital Parameters

Abstract

The search for a universal solution of the equations of motion for satellite orbiting an oblate planet is a subject that has merited great interest because of its theoretical implications and practical applications. The discovery of such a solution should motivate a reassessment of both the theories that exhibit singularities and the physical effects implied by singularities. The practical importance of such a solution is the efficiency of simple analytic formulas in predicting simultaneously the paths of large numbers of satellites in a multitude of orbits. Here, a complete first order solution to the problem of a satellite, perturbed only by the oblateness of the Earth, is displayed. The orbit is free of singularities for all parameters and is valid for 1000 revolutions with a relative error of the order J-sq approx. = .000001. (jhd)

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1989
Accession Number
ADA216176

Entities

People

  • James R. Snider

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • Space

DTIC Thesaurus Topics

  • Angular Momentum
  • Artificial Satellites
  • Celestial Mechanics
  • Computational Science
  • Coordinate Systems
  • Differential Equations
  • Equations
  • Equations Of Motion
  • Equatorial Orbits
  • Gravitational Fields
  • Orbital Elements
  • Perturbation Theory
  • Radiation Pressure
  • Solar Radiation
  • Spacecraft
  • Two Dimensional
  • United States

Fields of Study

  • Physics

Readers

  • Astronomy/Astrophysics
  • Fluid Dynamics.
  • Theoretical Analysis.

Technology Areas

  • Space
  • Space - Orbital Debris