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 a satellite orbiting an oblate planet is a subject that has merited great interest because of its theoretical and practical implications. Here, a complete first- order perturbation solution, including the effects of the J2 terms in the planet's potential, is given in terms of standard orbital parameters. The simple formulas provide a fast method for predicting satellite orbits that is more accurate than the two-body formulas. These predictions are shown to agree well with those of a completely numerical code and with actual satellite data. Also, in an appendix, it is rigorously proven that a satellite having negative mechanical energy remains for all time within a spherical annulus with radii approximately equal to the perigee and apogee of its initial osculating ellipse. ... Perturbation solution, Oblate planet, Orbital parameters.

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Document Details

Document Type
Technical Report
Publication Date
May 06, 1993
Accession Number
ADA265779

Entities

People

  • C. P. Sagovac
  • D. A. Danielson
  • G. E. Latta
  • J. R. Snider
  • S. D. Krambeck

Organizations

  • Naval Postgraduate School

Tags

DTIC Thesaurus Topics

  • Artificial Satellites
  • Celestial Mechanics
  • Coordinate Systems
  • Differential Equations
  • Energy
  • Equations
  • Equations Of Motion
  • Geometry
  • Mathematics
  • Mechanical Energy
  • Mechanics
  • Orbital Elements
  • Orbits
  • Perturbations
  • Polar Orbits
  • Satellite Orbits
  • Space Sciences

Fields of Study

  • Mathematics
  • Physics

Readers

  • Astronomy/Astrophysics
  • Space/Atmospheric Physics.
  • Structural Dynamics.

Technology Areas

  • Space
  • Space - Orbital Debris