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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    Titel :

    Nonlinear Mapping of Uncertainties in Celestial Mechanics


    Beteiligte:
    Valli, M. (Autor:in) / Armellin, R. (Autor:in) / Di Lizia, P. (Autor:in) / Lavagna, M. R. (Autor:in)

    Erschienen in:

    Erscheinungsdatum :

    2012-12-04


    Format / Umfang :

    16 pages




    Medientyp :

    Aufsatz (Zeitschrift)


    Format :

    Elektronische Ressource


    Sprache :

    Englisch




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