Solar Radiation Pressure Modeling Issues for High Altitude Satellite

Mathematics

Scientific paper

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High Altitude, Solar Radiation, Artificial Satellites, Mathematical Models, Solar Flux, Orbit Determination, Specular Reflection, Earth (Planet)

Scientific paper

Current satellite orbit propagation techniques employ a solar radiation pressure model that makes simplifying assumptions concerning the satellite and its orbital geometry. Solar radiation pressure, a non-gravitational perturbation, significantly affects satellite motion at high altitudes. The model currently in use by the Air Force for orbit determination includes the following assumptions: a constant cross-sectional area projected to the Sun, cylindrical Earth shadow for eclipse, and specular reflection. In reality, the satellite's cross-sectional area with respect to the Sun constantly changes, the Earth's shadow is conical, and reflection is both specular and diffuse. Additionally, the solar flux received at the Earth can be either assumed constant or variably dependent on the distance from the Sun. These four higher order effects may be modeled in lieu of the simplifying assumptions to obtain greater accuracy in orbit predictions. Comparison of a baseline that embodies the Air Force's current solar radiation pressure model, and a truth model that simulates the four solar radiation pressure effects will be presented. The most significant effect relating to solar radiation pressure is the changing cross-sectional area of the satellite projected to the Sun.

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