Physics
Scientific paper
Sep 1982
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982rspsa.383..127s&link_type=abstract
Royal Society (London), Proceedings, Series A - Mathematical and Physical Sciences, vol. 383, no. 1784, Sept. 8, 1982, p. 127-14
Physics
32
Aerodynamic Drag, Atmospheric Density, Diurnal Variations, Satellite Drag, Satellite Orbits, Altitude, Atmospheric Models, Bessel Functions, Density Distribution
Scientific paper
The effect of air drag on satellite orbits of small eccentricity (e less than 0.2) is considered. A model of the atmosphere that allows for oblateness is adopted, in which the density behavior approximates to the observed diurnal variation. The equations governing the changes due to drag in the semi-major axis a, and in x = ae, during one revolution of the satellite are integrated, the density scale-height H being assumed constant. The resulting expressions for delta a and delta x are presented to third order in e. Compact expressions for the gradient da/dx, and for the mean air density at perigee altitude rho sub 1 are obtained, when H is allowed to vary with altitude. An equivalence between the variable-H and the constant-H equations is demonstrated, provided that the value of H used in the latter is chosen appropriately.
Boulton W. J.
Swinerd Graham G.
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