arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1909.11531astro-ph.EPmath.DSnlin.CDphysics.space-ph
收藏

导航卫星的混沌输运

Chaotic transport of navigation satellites

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

备注：
Accepted for publication in Chaos: An Interdisciplinary Journal of Nonlinear Science
阅读 PDF
arXiv 页面 ↗HTML 原文 ↗

摘要：

从数值研究中得知，导航卫星位于动态敏感的环境中，这对其长期可持续性可能具有深远的重要性。我们推导出GNSS动力学的基本哈密顿量，并分析表明，近圆形轨迹位于一个正常双曲不变流形（NHIM），这是双曲的主要来源附近。准圆形轨道通过混沌传输逃逸，由NHIM的稳定和不稳定流形调节，遵循幂律逃逸时间分布$P(t) \sim t^{-α}$，其中$α\sim 0.8 - 1.5$。我们的研究是高度相关的卫星弃置轨道的设计，使用多方面的动力学。

英文摘要：

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 $P(t) \sim t^{-α}$, with $α\sim 0.8 - 1.5$. Our study is highly relevant for the design of satellite disposal trajectories, using manifold dynamics.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

↑