The contraction of satellite orbits under the influence of air drag. VII - Orbits of high eccentricity, with scale height dependent on altitude

Details The contraction of satellite orbits under the influence of air drag. VII - Orbits of high eccentricity, with scale height dependent on altitude The contraction of satellite orbits under the influence of air drag. VII - Orbits of high eccentricity, with scale height dependent on altitude

May 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987rspsa.411....1k&link_type=abstract

Royal Society (London), Proceedings, Series A - Mathematical and Physical Sciences (ISSN 0080-4630), vol. 411, no. 1840, May 8,

Physics

4

Aerodynamic Drag, Eccentric Orbits, Orbital Mechanics, Satellite Orbits, Scale Height, Atmospheric Density, Perigees, Satellite Lifetime, Satellite Perturbation

Scientific paper

Part III (King-Hele, 1962) of this series of papers developed the theory of high-eccentricity orbits (e greater than 0.2) in an atmosphere having an exponential variation of air density with height; that is, with the density scale height H taken as constant. Part IV (Cook and King-Hele, 1963) derived the appropriate theory for low-eccentricity orbits (e less than 0.2) in a more realistic atmosphere where H varies linearly with height y (and mu = dH/dy less than 0.2). The present paper treats the orbits of part III when they meet the air drag specified by the atmospheric model of part IV. Equations are derived showing how the perigee height varies with eccentricity, and the eccentricity varies with time, over the major part of the satellite's life. It is shown that the theory of part III remains valid, to order mu-squared, if H is evaluated at a specific height above perigee.

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