Abstract Gromov’s symplectic nonsqueezing theorem, a fundamental property from symplectic topology, is applied to the study of uncertainty analysis in Hamiltonian Dynamical systems with a particular emphasis on spacecraft trajectory uncertainty. Previous results published in the literature are rederived and shown to be similar to the uncertainty principle of quantum mechanics. The application of Gromov’s Theorem to uncertainty distributions in Hamiltonian Dynamical systems are discussed, including the effect of time mapping and measurement updates. Finally, we provide constraint relations on the phase volume of a distribution and the Gromov width.


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    Title :

    Applications of Symplectic Topology to Orbit Uncertainty and Spacecraft Navigation


    Contributors:


    Publication date :

    2012




    Type of media :

    Article (Journal)


    Type of material :

    Print


    Language :

    English



    Classification :

    BKL:    55.60 Raumfahrttechnik
    Local classification TIB:    770/7040



    Applications of Symplectic Topology to Orbit Uncertainty and Spacecraft Navigation

    Scheeres, D.J. / de Gosson, M.A. / Maruskin, J.M. et al. | British Library Conference Proceedings | 2012




    Applications of Symplectic Topology to Orbit Uncertainty and Spacecraft Navigation

    Scheeres, Daniel J. / Gosson, Maurice A. / Maruskin, J. M. | Springer Verlag | 2012


    Applications of Symplectic Topology to Orbit Uncertainty and Spacecraft Navigation (AAS 10-304)

    Scheeres, D.J. / de Gosson, M.A. / American Astronautical Society | British Library Conference Proceedings | 2011