Geopotential Harmonics of Order 15 and Even Degree, from Changes in Orbital Eccentricity at Resonance.

Abstract

When a satellite orbit decaying slowly under the action of air drag experiences 15th-order resonance with the Earth's gravitational field, so that the ground track repeats after 15 revolutions, the orbital eccentricity may suffer appreciable changes due to perturbations from the gravitational harmonics of order 15 and even degree (16,18,20 ...). In this paper the changes in eccentricity at resonance for six satellites in near-circular orbits at inclinations between 56 degrees and 90 degrees have been analyzed to obtain 11 pairs of equations linking the harmonic coefficients of order 15 and (even) degree l, C ave(sub l,15) and S ave(sub l,15) in the usual notation.

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1974
Accession Number
ADA005266

Entities

People

  • Desmond King-Hele
  • Doreen Walker
  • Robert H. Gooding

Organizations

  • Royal Aircraft Establishment

Tags

Communities of Interest

  • Space

DTIC Thesaurus Topics

  • Artificial Satellites
  • Circular Orbits
  • Coefficients
  • Eccentricity
  • Equations
  • Geopotential
  • Gravitational Fields
  • Harmonics
  • Mathematics
  • Notation
  • Orbits
  • Perturbations
  • Resonance
  • Revolutions
  • Satellite Orbits

Fields of Study

  • Physics

Readers

  • Space Exploration and Orbital Mechanics.

Technology Areas

  • Space
  • Space - Orbital Debris