Variational Maximum Likelihood Method and Its Application to Aerospace Navigation

Authors

  • Viacheslav Mironov St. Petersburg Institute for Informatics and Automation of the Russian Academy of Sciences
  • Yury Mironov St. Petersburg Institute for Informatics and Automation of the Russian Academy of Sciences
  • Boris Sokolov St. Petersburg Institute for Informatics and Automation of the Russian Academy of Sciences https://orcid.org/0000-0002-5151-8147
  • Rafael Yusupov St. Petersburg Institute for Informatics and Automation of the Russian Academy of Sciences https://orcid.org/0000-0001-8827-4089

DOI:

https://doi.org/10.2478/itms-2013-0003

Keywords:

Boundary conditions, boundary problem, maximum likelihood method, navigation, quality analysis, statistical estimation

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.

References

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Published

30.12.2021

Issue

Vol. 16 No. 1 (2013): Information Technology and Management Science

Section

Articles