ON THE MOTION OF AN ARTIFICIAL EARTH SATELLITE

Abstract

The periodic position and velocity perturbations of an artificial earth satellite are developed to the first order for all Jn, based on the theory by Brouwer as extended by Giacagliz. An explicit formulation is also provided for the subset J2, J3, J4. The use of a position and velocity formulation circumvents the equatorial and circular orbit singularities found in conventional developments. The definition of the mean elements of the theory is modified to reduce the complexity of the position perturbations, as suggested by Merson's Theory, and the resulting changes to the secular terms are developed. In order to facilitate an empirical correction for drag, the observed mean motion is introduced as a mean element in place of the semi-major axis.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1966
Accession Number
AD0640315

Entities

People

  • J. B. Frazer

Organizations

  • MITRE Corporation

Tags

Communities of Interest

  • Space

DTIC Thesaurus Topics

  • Abstracts
  • Air Force
  • Artificial Satellites
  • Cartesian Coordinates
  • Contracts
  • Control Systems
  • Defense Systems
  • Equations
  • Frequency
  • Government Procurement
  • Governments
  • Law
  • Massachusetts
  • Models
  • Radiation Pressure
  • Solar Radiation
  • System Software

Readers

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

Technology Areas

  • Space
  • Space - Orbital Debris