13 citations · 27 across the 9 of their papers we have counts for
9 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 new local invariant and simpler proof of Kepler's conjecture and the least action principle on the crystalformation of dense type
Wu-Yi Hsiang
A new locally averaged density for sphere packing in R^3 is defined by a proper combination of the local cell (Voronoi cell) and Delaunay decompositions (§1.2.2), using only a sing…
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…
The epic journey from Kepler's laws to Newton's law of universal gravitation revisited
Hai-Chau Chang, Wu-Yi Hsiang
In this article, we review the main results of Volume I of Newton's Principia which relates Kepler's law of planets and universal gravitation. In order to clarify the reasoning of…
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…