Lumped Geopotential Coefficients (C Bar Sub 15,15) and (S Bar Sub 15,15) Obtained from Resonant Variation in the Orbit of Ariel 3.

Abstract

The orbital inclination of the satellite Ariel 3 unexpectedly decreased early in 1968. This decrease may now be explained as the consequence of a 15th-order resonance with the earth's gravitational field. Analysis of the resonance leads to a derivation of 'lumped' values of the harmonic coefficients C bar sub(15,15) and S bar sub(15,15) appropriate to the inclination (80 degrees) and height (500 km) of Ariel 3, viz. (-19.9 plus or minus 1.2) x 10 to the minus 9th power and (-7.7 plus or minus 0.8) x 10 to the minus 9th power respectively. The steady residual decrease in inclination indicates that the average rotational speed of the upper atmosphere at a height of 500 km is only 0.7 times that of the earth. (Author)

Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1971
Accession Number
AD0730365

Entities

People

  • Robert H. Gooding

Organizations

  • Royal Aircraft Establishment

Tags

Communities of Interest

  • Space

DTIC Thesaurus Topics

  • Artificial Satellites
  • Atmospheres
  • Coefficients
  • Geopotential
  • Gravitational Fields
  • Gravity
  • Orbital Inclination
  • Residuals
  • Resonance

Readers

  • Mathematics or Statistics
  • Space Exploration and Orbital Mechanics.

Technology Areas

  • Space
  • Space - Orbital Debris