Geometric chaos indicators and computations of the spherical hypertube manifolds of the spatial circular restricted three-body problem

DOI10.1016/j.physd.2018.02.003zbMath1392.70004OpenAlexW2777414953WikidataQ130093095 ScholiaQ130093095MaRDI QIDQ1656656

Elena Lega, Massimilliano Guzzo

Publication date: 10 August 2018

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2018.02.003

zbMATH Keywords

three-body problemregularizationcenter manifoldschaos indicatorsstable-unstable manifolds

Mathematics Subject Classification ID

Three-body problems (70F07) Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Complex behavior and chaotic systems of ordinary differential equations (34C28) Invariant manifolds for ordinary differential equations (34C45)

Related Items (7)

Integrability of close encounters in the spatial restricted three-body problem ⋮ Theory and applications of fast Lyapunov indicators to model problems of celestial mechanics ⋮ Resonances in the Earth's space environment (invited article) ⋮ Finding regions of bounded motion in binary asteroid environment using Lagrangian descriptors ⋮ A novel method to identify initial values of chaotic maps in cybersecurity ⋮ Structure of the centre manifold of the \(L_1\), \(L_2\) collinear libration points in the restricted three-body problem ⋮ Transits close to the Lagrangian solutions L ₁, L ₂ in the elliptic restricted three-body problem

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