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.
Maximum A Posteriori Estimation of Hamiltonian Systems with High Order Taylor Polynomials
J Astronaut Sci
The Journal of the Astronautical Sciences ; 69 , 2 ; 511-536
2022-04-01
26 pages
Article (Journal)
Electronic Resource
English
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