The problem of nonlinear uncertainty propagation represents a crucial issue in celestial mechanics. In this paper, a method for nonlinear propagation of uncertainty based on differential algebra is presented. Working in the differential algebra framework enables a general approach to nonlinear uncertainty propagation that can provide highly accurate estimate with low computational cost. The nonlinear mapping of the statistics is shown here, adopting the two-body problem as the working framework, including coordinate system transformations. The general feature of the proposed method is also demonstrated by presenting long-term integrations in complex dynamic systems, such as the n -body problem or the simplified general perturbation model.


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    Title :

    Nonlinear Mapping of Uncertainties in Celestial Mechanics


    Contributors:
    Valli, M. (author) / Armellin, R. (author) / Di Lizia, P. (author) / Lavagna, M. R. (author)

    Published in:

    Publication date :

    2012-12-04


    Size :

    16 pages




    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    English




    Nonlinear Management of Uncertainties in Celestial Mechanics (AAS 12-264)

    Valli, M. / Armellin, R. / Di Lizia, P. et al. | British Library Conference Proceedings | 2012


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