三体轨迹之美，沉浸式体验。【4K 纯享】

2026-7-8 15:35| 发布者: admin8| 查看: 2| 评论: 0|文章／视频分享来自: 李永乐老师

三体轨迹之美，沉浸式体验。【4K 纯享】

视频内容：
三体问题（英语：Three-body problem）是天体力学中的基本力学模型。它是指三个质量、初始位置和初始速度都是任意的可视为质点的天体，在相互之间万有引力的作用下的运动规律问题。

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参考资料：
https://www.wikiwand.com/zh-sg/articles/三体问题

https://arxiv.org/html/2508.08568v1

https://observablehq.com/@rreusser/periodic-planar-three-body-orbits

https://arxiv.org/pdf/1705.00527

https://github.com/sjtu-liao/three-body/tree/main?tab=readme-ov-file

https://www.scl.rs/theses/msc_ahudomal.pdf

https://arxiv.org/pdf/1303.0181

http://three-body.ipb.ac.rs/

C. Burrau, Numerische Berechnung eines Spezialfalles des Dreikörperproblems, Astronomische Nachrichten, 196(4692), 113 (1913).

C. Moore, Braids in classical dynamics, Physical Review Letters, 70(24), 3675 (1993).

M. Šuvakov, Numerical Search for Periodic Solutions in the Vicinity of the Figure-Eight Orbit: Slaloming around Singularities on the Shape Sphere, Celest. Mech. Dyn. Astron. 119, 369 (2014).

R. Broucke, D. Boggs, On relative periodic solutions of the planar general three-body problem, Celest. Mech. 12, 439 (1975).

M. Hénon, A family of periodic solutions of the planar three-body problem, and their stability, Celestial Mechanics 13, 267 (1976), Table I.

X. Li, S. Liao, Collisionless periodic orbits in the free-fall three-body problem (2018).

Matthew Sheen, "3 Body Problem - Periodic Solutions" (2016).

V. Dmitrašinović, A. Hudomal, M. Shibayama, A. Sugita, Newtonian Periodic Three-Body Orbits with Zero Angular Momentum: Linear Stability and Topological Dependence of the Period (2015).

X. Li, S. Liao, More than six hundred new families of Newtonian periodic planar collisionless three-body orbits, Science China-Physics, Mechanics & Astronomy, Vol. 60, No.12, 129511 (2017).

Li et al., Discovery of 10,059 new three-dimensional periodic orbits of general three-body problem, arXiv:2308.13289 (2023).

M. Šuvakov and V. Dmitrašinović, Three Classes of Newtonian Three-Body Planar Periodic Orbits, Phys. Rev. Lett. 110, 114301 (2013). arXiv:1303.0181

Liao, Li, & Jing, Three-body problem - from Newton to supercomputer plus machine learning, New Astronomy Reviews, 90, 101650 (2020).

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