General perturbation satellite theory

Computer Science – Numerical Analysis

Scientific paper

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Global Positioning System, Perturbation Theory, Satellite Tracking, Equations Of Motion, Numerical Analysis, Satellite Orbits

Scientific paper

The theory considers the satellite orbit perturbations due to an arbitrary zonal harmonic gravitational field of the Earth and the accelerations due to Sun and Moon. First-order short-period terms are determined by the von Zeipel technique. The remaining long-periodic equations of motion are integrated numerically with step sizes on the order of 0.25 days.

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