Motion of a man-made satellite in the earth's atmosphere represented by spherical harmonic functions

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Atmospheric Effects, Satellite Drag, Satellite Orbits, Satellite Perturbation, Spherical Harmonics, Upper Atmosphere, Atmospheric Density, Atmospheric Models, Intercosmos Satellites, Orbital Elements

Scientific paper

The paper describes a special simplified model of the upper atmosphere which is based on the development of the density value in a specific layer into spherical harmonic functions and its application to computing the changes of orbital elements. The analytical theory is elaborated using the averaging method to remove the short-period terms. The theory is used to compute the perturbations of the orbital elements of the INTERKOSMOS 17 satellite. The results are compared to those computed using another theory (King-Hele) and also to the observed values of the changes of the orbital elements.

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