Covariance Control of Longitudinal Spacecraft Motion in the Earth’s Atmosphere

The paper introduces a covariance regulator in the deterministic formulation, which is capable to maintain a high-precision feedback. This covariance regulator is developed for the mathematical model of the longitudinal spacecraft motion in the Earth’s atmosphere within divergences. The algorithm of covariance control synthesis, previously developed by the authors, is considered the basis of the regulator synthesis. This algorithm was developed with the help of original decomposition of the spacecraft motion model. Relatively simple analytical formulae for calculating the covariance regulator are obtained. The results of the modelling of program reentry trajectory tracking for an individual flight segment are presented.

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