Abstract

The estimation of the orbital states of a satellite is complicated by the fact that a realistic model of satellite dynamics is nonlinear and so is the observation model. Among the various schemes for nonlinear state estimation, it was found in previous work that a combination of invariant imbedding with stochastic approximation provides the best results. This method consists of starting estimation with invariant imbedding and switching over to stochastic approximation at a suitable instant. The present paper develops a criterion for switching by using the statistical properties of the innovations sequence. Results of simulation using data supplied by the Communications Research Centre of Canada, are included, and demonstrate the effectiveness of the proposed criterion.

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