4 citations · 8 across the 4 of their papers we have counts for
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Global geometry of planary 3-body motions
Wu-Yi Hsiang, Eldar Straume
In a recent paper (arXiv:math-ph/0609076) the authors investigated the basic global geometry of congruence moduli curves and shape curves of 3-body motions with vanishing angular m…
Global geometry of 3-body motions with vanishing angular momentum, I
Wu-Yi Hsiang, Eldar Straume
Following Jacobi's geometrization of Lagrange's least action principle, trajectories of classical mechanics can be characterized as geodesics on the configuration space M with resp…
A geometric study of many body systems
Eldar Straume
A n n-body system is a labelled collection of n point masses in Euclidean space, and their congruence and internal symmetry properties involve a rich mathematical structure which i…
Kinematic geometry of triangles and the study of the three-body problem
W. Y. Hsiang, E. Straume
This monograph describes a Riemannian geometric reduction approach to the three-body problem. The fundamental theorems are presented in the introductory part, whereas their proofs…