3 papers
math-ph2025
Pair Space in Classical Mechanics III. Some Four-Body Central Configurations
Alon Drory
We study central configurations in the four body problem, i.e., configurations in which the forces on all the bodies point to a fixed, single point in space. The newly formulated p…
math-ph2024
Pair Space in Classical Mechanics I. The Three-Body Problem
Alon Drory
I introduce an extended configuration space for classical mechanical systems, called pair-space, which is spanned by the relative positions of all the pairs of bodies. To overcome…
math-ph2024
Pair Space in Classical Mechanics II. N-Body Central Configurations
Alon Drory
A previous work introduced pair space, which is spanned by the center of mass of a system and the relative positions (pair positions) of its constituent bodies. Here, I show that i…