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An intrusive approach to uncertainty propagation in orbital mechanics based on Tchebycheff polynomial algebra

Riccardi, Annalisa and Tardioli, Chiara and Vasile, Massimiliano (2015) An intrusive approach to uncertainty propagation in orbital mechanics based on Tchebycheff polynomial algebra. In: Astrodynamics 2015. Advances in Astrnautical Sciences . American Astronautical Society, San Diego, California, pp. 707-722. ISBN 9780877036296

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    Abstract

    The paper presents an intrusive approach to propagate uncertainty in orbital mechanics. The approach is based on an expansion of the uncertain quantities in Tchebicheff series and a propagation through the dynamics using a generalised polynomial algebra. Tchebicheff series expansions offer a fast uniform convergence with relaxed continuity and smothness requirements. The paper details the proposed approach and illustrates its applicability through a set of test cases considering both parameter and model uncertainties. This novel intrusive technique is then comapred against its non-intrusive counterpart in terms of approximation accuracy and computational cost.