Applications of Symplectic Topology to Orbit Uncertainty and Spacecraft Navigation

作者：Scheeres Daniel J^*; de Gosson Maurice A; Maruskin J M

来源：Journal of the Astronautical Sciences, 2012, 59(1-2): 63-83.

Gromov%26apos;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%26apos;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.

• 出版日期2012-6