Geopotential Harmonics of Order 15 and Odd Degree from Analysis of Resonant Orbits.

Abstract

The authors have analyzed the variations of inclination in 13 satellite orbits as they pass slowly, under the action of air drag, through 15th-order resonance with the geopotential, when successive equatorial crossings are 24 degrees apart and the ground track repeats after 15 revolutions. The size and form of the change in inclination are determined mainly by the values of the geopotential harmonics of 15th order and odd degree, C sub l, 15 and S sub l, 15 (with l = 15, 17, 19 ...) in the usual notation. The analysis gives values of these coefficients up to l = 33. Four of the orbits analyzed also yield good values for lumped harmonics of 30th order. The evaluation of individual 30th-order coefficients should be possible when results from a few more resonant orbits have accumulated.

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1975
Accession Number
ADA014527

Entities

People

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

Organizations

  • Royal Aircraft Establishment

Tags

Communities of Interest

  • Space

DTIC Thesaurus Topics

  • Artificial Satellites
  • Coefficients
  • Crossings
  • Geopotential
  • Harmonics
  • Notation
  • Orbits
  • Resonance
  • Revolutions
  • Satellite Orbits
  • Spacecraft
  • Spacecraft Orbits
  • Test And Evaluation

Fields of Study

  • Physics

Readers

  • Approximation Theory.
  • Space Exploration and Orbital Mechanics.

Technology Areas

  • Space
  • Space - Orbital Debris