Shadow function - Contribution to the theory of the motion of artificial satellites

Computer Science – Numerical Analysis

Scientific paper

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Artificial Satellites, Earth Orbits, Orbit Perturbation, Radiation Pressure, Solar Radiation, Numerical Analysis, Pressure Effects, Ray Tracing, Satellite Tracking, Shadows

Scientific paper

A more precise version of the theory of the shadow function is presented. Considered are the following geometrical factors: the mutual position of Sun, Earth and satellite, the shape of the conical surface shadows and the effect of refraction. Further the following physical effects are taken into account: light diffusion due to refraction, atmospheric absorption, light diffusion and the effect of ozone. The influence of the shadow function introduced in the present paper compared to the shadow functions, given earlier, displays differences in the orbital elements amounting to 0.1% to 1% of the total value of the solar radiation pressure.

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