Minimum-Variance Estimation of Reentry Debris Trajectories

A minimum-variance estimator is developed for reentry debris trajectories using discrete-time multiple sensor line-of-sight measurements. An integral state model is used for the unknown drag ballistic coefe cient and lift ballistic coefe cient. An extended Kalman e lter is developed for the forward estimate and a Rauch ‐Tung‐Striebel smootherisdeveloped forthebackward estimate.Themethod istestedonnonlifting and lifting reentry trajectories that are synthesized using a high-e delity trajectory simulator. The results of this research show that reentry debris trajectoriescanbeestimatedusing theapproach developeddespitethelack ofaccuratemodelsfortheaerodynamic coefe cients.

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