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Variational Maximum Likelihood Method and Its Application to Aerospace Navigation

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  • Mironov Viacheslav

    (St. Petersburg Institute for Informatics and Automation of the Russian Academy of Sciences Contact data: 14th line, 39, St.Petersburg, 199178, Russia)

  • Mironov Yury
  • Sokolov Boris
  • Yusupov Rafael

    (St. Petersburg Institute for Informatics and Automation of the Russian Academy of Sciences)

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.

Suggested Citation

  • Mironov Viacheslav & Mironov Yury & Sokolov Boris & Yusupov Rafael, 2013. "Variational Maximum Likelihood Method and Its Application to Aerospace Navigation," Information Technology and Management Science, Sciendo, vol. 16(1), pages 27-32, December.
    • Handle: RePEc:vrs:itmasc:v:16:y:2013:i:1:p:27-32:n:3
    DOI: 10.2478/itms-2013-0003
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