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 -body problem or the simplified general perturbation model.
Nonlinear Mapping of Uncertainties in Celestial Mechanics
Journal of Guidance, Control, and Dynamics ; 36 , 1 ; 48-63
2012-12-04
16 pages
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
Nonlinear Management of Uncertainties in Celestial Mechanics (AAS 12-264)
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