Abstract
A new non–singular analytical theory for the contraction of high eccentricity satellite orbits under the influence of air drag is developed in terms of the K–S elements, utilizing a spherically symmetrical atmospheric model. The series expansions include up to sixth power in terms of an independent variable λ, used by King–Hele in his theory. Numerical experimentation establishes a supremacy of the present theory over that of King–Hele over a wide range of the involved orbital parameters. The theory can be used effectively for the orbital decay of geostationary transfer orbits and during the mission planning of aeroassisted orbital transfer orbits.
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