Chaotic transport of navigation satellites

Ioannis Gkolias, Jerome Daquin, Despoina K. Skoulidou, Kleomenis Tsiganis, Christos Efthymiopoulos

Résultats de recherche: Contribution à un journal/une revueArticleRevue par des pairs


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 Global Navigation Satellite System 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. Quasicircular orbits escape through chaotic transport, regulated by NHIM's stable and unstable manifolds, following a power-law escape time distribution P (t) ∼ t - α, with α ∼ 0.8 - 1.5. Our study is highly relevant for the design of satellite disposal trajectories, using manifold dynamics.

langue originaleAnglais
Numéro d'article101106
journalChaos: an interdisciplinary journal of nonlinear science
Numéro de publication10
Les DOIs
Etat de la publicationPublié - 1 oct. 2019

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