The advance of the perigee of a satellite in a rotating oblate atmosphere with a diurnal variation in density

Details The advance of the perigee of a satellite in a rotating oblate atmosphere with a diurnal variation in density The advance of the perigee of a satellite in a rotating oblate atmosphere with a diurnal variation in density

Oct 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983rspsa.389..433b&link_type=abstract

Royal Society (London), Proceedings, Series A - Mathematical and Physical Sciences (ISSN 0080-4630), vol. 389, no. 1797, Oct. 8,

Astronomy and Astrophysics

Astronomy

5

Aerodynamic Drag, Astrodynamics, Orbit Perturbation, Perigees, Satellite Orbits, Atmospheric Models, Diurnal Variations, Orbit Calculation, Space Density, Upper Atmosphere

Scientific paper

The effect of air drag on satellite orbits of small eccentricity (e greater than about 0.01 and less than about 0.2) is considered. A model of the atmosphere that allows for oblateness, and in which the density behavior approximates to the observed diurnal variation, is adopted. The equation governing the changes due to drag in the argument of perigee (omega), during one revolution of the satellite, is integrated with the assumption that the density scale height (H) is constant. The resulting expression for e(Delta omega) is presented to third order in e. Compact expressions for e(Delta omega) and e(Delta omega)/Delta T(D), where Delta T(D) is the corresponding change in the period, are obtained when H is allowed to vary with altitude. It is shown that there is an equivalence between the variable-H and the constant-H equations, provided that the value of H used in the latter is chosen appropriately.

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