Satellite orbit under influence of a drag - analytical approach
2017
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.
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