On Analytic Modeling of Lunar Perturbations of Artificial Satellites of the Earth

Abstract

Two different procedures for analytically modeling the effects of the Moon's direct gravitational force on artificial Earth satellites are discussed from theoretical and numerical viewpoints. One is developed using classical series expansions of inclination and eccentricity for both the satellite and the Moon, and the other employs the method of averaging. Both solutions are seen to have advantages, but it is shown that while the former is more accurate in special situations, the latter is quicker and more practical for the general orbit determination problem where observed data are used to correct the orbit in near real time. Keywords: Perturbation theory; Third body effects; Analytical solutions; Legendre polynomials; Method of averaging; Series expansion method.

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Document Details

Document Type
Technical Report
Publication Date
Jun 13, 1989
Accession Number
ADA210440

Entities

People

  • M. T. Lane

Organizations

  • Massachusetts Institute of Technology

Tags

Communities of Interest

  • Space

DTIC Thesaurus Topics

  • Abstracts
  • Accuracy
  • Air Force
  • Altitude
  • Artificial Satellites
  • Computations
  • Differential Equations
  • Eccentricity
  • Elevation
  • Ephemerides
  • Equations
  • Equations Of Motion
  • High Altitude
  • Longitude
  • Mathematics
  • Numerical Integration
  • Satellite Orbits

Readers

  • Computational Modeling and Simulation
  • Fluid Dynamics.
  • Space Exploration and Orbital Mechanics.

Technology Areas

  • Space
  • Space - Orbital Debris