19 citations · 31 across the 8 of their papers we have counts for
6 papers · 1 filter
The planar 3-body problem II:reduction to pure shape and spherical geometry (2nd version)
Wu-Yi Hsiang, Eldar Straume
Geometric reduction of the Newtonian planar three-body problem is investigated in the framework of equivariant Riemannian geometry, which reduces the study of trajectories of three…
Symbol correspondences for spin systems
Pedro de M Rios, Eldar Straume
The present monograph explores the correspondence between quantum and classical mechanics in the particular context of spin systems, that is, SU(2)-symmetric mechanical systems. He…
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…