Abstract
In this paper a new mathematical model is proposed for the study of the effects of the direct solar radiation pressure on the orbit of an artificial Earth satellite. The equations for the first order effects become canonical when a different definition for the orders of magnitude is adopted. This enables us the utilization of the method of Von Zeipel to eliminate all periodic terms. The model leads to the non-existence of pure secular perturbations owing to the direct solar radiation pressure on the metric elements: semi-major axis, eccentricity and inclination. Numerical examples built with an approximation for the shadow function show that the secular inequalities on the angle variables—longitude, perigee and node—are very small.
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Ferraz Mello, S. Analytical study of the Earth's shadowing effects on satellite orbits. Celestial Mechanics 5, 80–101 (1972). https://doi.org/10.1007/BF01227825
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DOI: https://doi.org/10.1007/BF01227825