Long period nodal motion of sun synchronous orbits

Mathematics

Scientific paper

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Mathematical Models, Orbit Perturbation, Orbital Position Estimation, Synchronous Satellites, Approximation, Computerized Simulation, Harmonic Oscillation, Orbital Mechanics, Solar Gravitation

Scientific paper

An approximative model is formulated for assessing these perturbations that significantly affect long term modal motion of sun synchronous orbits. Computer simulations with several independent computer programs consider zonal and tesseral gravitational harmonics, third body gravitational disturbances induced by the sun and the moon, and atmospheric drag. A pendulum model consisting of evenzonal harmonics through order 4 and solar gravity dominated nodal motion approximation. This pendulum motion results from solar gravity inducing an inclination oscillation which couples into the nodal precession induced by the earth's oblateness. The pendulum model correlated well with simulations observed flight data.

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