This paper presents a new approach to Maximum A Posteriori (MAP) estimation for Hamiltonian dynamic systems. By representing probability density functions through Taylor polynomials and using Differential Algebra techniques, this work proposes to derive the MAP estimate directly from high order polynomials. The polynomial representation of the posterior probability density function leads to an accurate approximation of the true a posterior distribution, that describes the uncertainties of the state of the system. The new method is applied to a demonstrative orbit determination problem.


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    Title :

    Maximum A Posteriori Estimation of Hamiltonian Systems with High Order Taylor Polynomials


    Additional title:

    J Astronaut Sci


    Contributors:

    Published in:

    Publication date :

    2022-04-01


    Size :

    26 pages




    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    English




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