DEVELOPMENT OF THE TECHNIQUE FOR COVARIANCE PREDICTION USING THE GRAVITY COLOR NOISE
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The conventional approach to estimation and prediction of orbits uncertainty is based on using the equations of motion, in which the random disturbances are either not taken into account, or assumed to be represented by white noise. The following questions are considered in the paper: 1. Basis of the technique for covariance prediction. The analysis of the differential equations for forecasting a correlation matrix of state vector errors and their solution are executed. It is necessary to take into account mutual correlation of state vector errors with colored noise for maintenance of a correctness of results. The technique for estimation of matrix function of mutual correlation during orbit determination is considered. 2. Statistical characteristics of the gravity disturbing forces. The problem on a choice of harmonics degree which is taken into account in the motion model is considered. The dependence of the recommended degree on altitude and accuracy of constants Cnm and Snm is constructed. The estimation of correlation functions of gravity disturbing forces in the Body-fixed, and also in the Earth-centered inertial coordinate systems is presented. The correlation functions for the resonance satellites in the LEO and GEO, and also for the objects of GPS type are considered in detail.
author list (cited authors)
Nazarenko, A. I., & Alfriend, K. T.