19 citations · 31 across the 8 of their papers we have counts for
8 papers
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…
A Survey of the Development of Geometry up to 1870
Eldar Straume
This is an expository treatise on the development of the classical geometries, starting from the origins of Euclidean geometry a few centuries BC up to around 1870. At this time cl…
Revisiting the mathematical synthesis of the laws of Kepler and Galileo leading to Newton's law of universal gravitation
Wu-Yi Hsiang, Eldar Straume
Newton's deduction of the inverse square law from Kepler's ellipse and area laws together with his "superb theorem" on the gravitation attraction of spherically symmetric bodies, a…
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…