An Analytical Treatment of Resonance Effects on Satellite Orbits

Abstract

A first order analytical approximation of the tesseral harmonic resonance perturbations of the Keplerian elements is presented, and the mean elements (the Keplerian elements with the long period portions averaged out) will also be given in closed form. The results of a numerical test, which compares the analytical solution against a numerical integration of the Lagrange equations of motion, will be summarized, and the implementation of the solution in the analytical orbit determination routine ANODE will be outlined. Keywords: Perturbation theory; Resonance; Tesseral harmonics; Simple pendulum.

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Document Details

Document Type
Technical Report
Publication Date
Aug 19, 1988
Accession Number
ADA200318

Entities

People

  • Mark T. Lane

Organizations

  • Massachusetts Institute of Technology

Tags

DTIC Thesaurus Topics

  • Accuracy
  • Algorithms
  • Artificial Satellites
  • Computational Science
  • Computations
  • Computer Programs
  • Differential Equations
  • Equations
  • Equations Of Motion
  • Geosynchronous Satellites
  • Jet Propulsion
  • Longitude
  • Mathematics
  • Numerical Integration
  • Orbits
  • Satellite Orbits
  • Solar Radiation

Fields of Study

  • Physics

Readers

  • Control Systems Engineering.
  • Space Exploration and Orbital Mechanics.

Technology Areas

  • Space
  • Space - Orbital Debris