Kinematic geometry of triangles and the study of the three-body problem

zbMath1118.53011arXivmath-ph/0608060MaRDI QIDQ2373915

Eldar J. Straume, Wu-yi Hsiang

Publication date: 16 July 2007

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0608060

zbMATH Keywords

Newtonian potentialCeva-type trigonometrymoving eigenframetriple collision motions

Mathematics Subject Classification ID

Three-body problems (70F07) Applications of differential geometry to physics (53Z05) Differential geometric aspects in kinematics (53A17) Kinematics (70B99)

Related Items (6)

Global geometry of non-planar 3-body motions ⋮ Existence and differential geometric properties of continuous families of periodic three-body motions with non-uniform mass distributions ⋮ Geometric reduction of the three-body problem ⋮ Global geometry of 3-body motions with vanishing angular momentum. I ⋮ Global geometry of planary 3-body motions ⋮ Symmetry reduction of the three-body problem based on Euler angles

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