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:

    Published in:

    Publication date :

    2012-06-01


    Size :

    21 pages




    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    English




    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. / de Gosson, Maurice A. / Maruskin, J. M. | Online Contents | 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