Variational Maximum Likelihood Method and Its Application to Aerospace Navigation

Viacheslav Mironov, Yury Mironov, Boris Sokolov, Rafael Yusupov

Abstract


Variational approach to statistical evaluation of a maximum likelihood state in a nonlinear dynamic system is proposed. Mathematical justification of the approach and comparison with the direct methods showed its advantages concerning the obtained estimates, accuracy, and computational efficiency. Numerical examples of autonomous orbit determination according to navigational data are considered.

Keywords:
Boundary conditions; boundary problem; maximum likelihood method; navigation; quality analysis; statistical estimation

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References


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