The Motion of an Artificial Satellite in a Nonspherical Gravitational Field and an Atmosphere with a Quadratic Scale Height.

Abstract

The report presents the development of a solution for satellite orbits in a nonrotating atmosphere and takes into account the second through fourth zonal harmonics of the gravitational potential. It is basically an extension of Lane's work in that his power-law representation of the atmospheric density function, which implies a linear density scale height, is replaced by a density function with a quadratic density scale height. The quadratic scale height is shown to provide a substantially better fit to the atmospheric density. To integrate the equations of motion analytically, it is necessary to expand the density function in a series. Limitations which appear in the Lane and the Brouwer and Hori theories for small eccentricities, low inclinations, and critical inclinations still exist. (Modified author abstract)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1974
Accession Number
AD0776244

Entities

People

  • R. E. Willey
  • V. L. Pisacane

Organizations

  • Johns Hopkins University Applied Physics Laboratory

Tags

Communities of Interest

  • Space

DTIC Thesaurus Topics

  • Abstracts
  • Artificial Satellites
  • Atmospheres
  • Atmospheric Density
  • Cooperation
  • Eccentricity
  • Equations
  • Equations Of Motion
  • Gravitational Fields
  • Harmonics
  • Mathematics
  • Molecular Dynamics
  • Orbits
  • Satellite Orbits
  • Spacecraft

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Control Systems Engineering.
  • Space Exploration and Orbital Mechanics.

Technology Areas

  • Space
  • Space - Orbital Debris