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Serbian Astronomical Journal 2017 Issue 195, Pages: 53-58
https://doi.org/10.2298/SAJ1795053M
Full text ( 453 KB)

Satellite orbit under influence of a drag - analytical approach

Martinović M.M. (Faculty of Mathematics, Department of Astronomy, Belgrade)
Šegan S.D. (Faculty of Mathematics, Department of Astronomy, Belgrade)

The report studies some changes in orbital elements of the artificial satellites of Earth under influence of atmospheric drag. In order to develop possibilities of applying the results in many future cases, an analytical interpretation of the orbital element perturbations is given via useful, but very long expressions. The development is based on the TD88 air density model, recently upgraded with some additional terms. Some expressions and formulae were developed by the computer algebra system Mathematica and tested in some hypothetical cases. The results have good agreement with iterative (numerical) approach.

Keywords: Atmospheric effects, Celestial mechanics

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