Linear stability of periodic three-body orbits with zero angular momentum and topological dependence of Kepler’s third law: a numerical test

DOI10.1088/1751-8121/aaca41zbMath1429.70005arXiv1705.03728OpenAlexW3098629822MaRDI QIDQ4689448

Ayumu Sugita, V. Dmitrašinović, Ana Hudomal, Mitsuru Shibayama

Publication date: 16 October 2018

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.03728

zbMATH Keywords

celestial mechanicsnonlinear dynamics and chaosthree-body systems in Newtonian gravity

Mathematics Subject Classification ID

Three-body problems (70F07) Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Celestial mechanics (70F15)

Related Items (3)

A database of high precision trivial choreographies for the planar three-body problem ⋮ On ``generalized Kepler's third law and mass dependence of periods of three-body orbits ⋮ A guide to hunting periodic three-body orbits with non-vanishing angular momentum

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