Physics
Scientific paper
Oct 1983
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983rspsa.389..349b&link_type=abstract
Royal Society (London), Proceedings, Series A - Mathematical and Physical Sciences (ISSN 0080-4630), vol. 389, no. 1797, Oct. 8,
Physics
5
Atmospheric Density, Orbit Perturbation, Precession, Satellite Orbits, Atmospheric Models, Bessel Functions, Diurnal Variations, Meridional Flow, Orbit Calculation, Upper Atmosphere
Scientific paper
The atmospheric model presently used to determine the effect of upper atmospheric motion on satellite orbits of small eccenricity allows for oblateness, and has a density profile which approximates the observed day-to-night variation. Under the assumption that the density scale height is constant, an integration is made of the equations governing the changes due to zonal and meridional winds in the right ascension of the orbital plane's ascending node, over the course of one satellite anomalistic period. Compact expressions are given for the orbital plane change and its ratio to orbital period change, when the density scale height varies linearly with height. It is shown that there is, generally, no constant density scale height value that yields an exact equivalence between variable and constant density scale height equations in the presence of a diurnal density variation.
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