Dynamical model compensation for near-earth satellite orbit determination

Physics

Scientific paper

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Digital Simulation, Dynamic Models, Earth Orbits, Kalman Filters, Orbit Calculation, Satellite Orbits, Acceleration (Physics), Error Analysis, Error Correcting Codes, Network Synthesis, Statistical Analysis, Stochastic Processes, White Noise

Scientific paper

Operational requirements in modern space applications often demand orbit determination accuracies which are limited by fundamental mathematical and computational restrictions. It is shown in realistic computer simulation studies how these difficulties can be alleviated for typical near-earth satellites by employing dynamical model compensation (DMC) and accurate observations in the extended Kalman filter. Unmodeled and unknown accelerations affecting the motion of the satellite are effectively compensated by treating them as a first-order, Gauss-Markov stochastic process. Although conventional state noise compensation (SNC) can provide satisfactory results for many applications, the DMC method offers a significant increase in estimation accuracy. Numerical behavior of the DMC structure is summarized as a function of a priori statistical parameters to aid in filter design analyses for operational applications.

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