http://arxiv.org/abs/1909.11531
Navigation satellites are known from numerical studies to reside in a dynamically sensitive environment, which may be of profound importance for their long-term sustainability. We derive the fundamental Hamiltonian of GNSS dynamics and show analytically that near-circular trajectories lie in the neighborhood of a Normally Hyperbolic Invariant Manifold (NHIM), which is the primary source of hyperbolicity. Quasi-circular orbits escape through chaotic transport, regulated by the NHIM’s stable and unstable manifolds, following a power-law escape time distribution $P(t) \sim t^{-\alpha}$, with $\alpha \sim 0.8 – 1.5$. Our study is highly relevant for the design of satellite disposal trajectories, using manifold dynamics.
I. Gkolias, J. Daquin, D. Skoulidou, et. al.
Thu, 26 Sep 19
23/61
Comments: Accepted for publication in Chaos: An Interdisciplinary Journal of Nonlinear Science
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