The integration of the motion equations of low-orbiting earth satellites using Taylor's method

Astronomy and Astrophysics – Astronomy

Scientific paper

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Astrodynamics, Earth Orbits, Equations Of Motion, Spacecraft Motion, Taylor Series, Atmospheric Effects, Center Of Gravity, Numerical Integration, Oblate Spheroids, Satellite Drag

Scientific paper

A method for the numerical integration of the equations of motion for a satellite is proposed, taking the earth's oblateness and atmospheric drag into account. The method is based on Taylor's representation of the solution to the corresponding polynomial system. The algorithm for choosing the integration step and error estimation is constructed. The method is realized as a subrouting package. The method is applied to a low-orbiting earth satellite and the results are compared with those obtained using Everhart's method.

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