2 papers
math.DS2026
From the Lagrange Triangle to the Figure Eight Choreography: Proof of Marchal's Conjecture
Renato Calleja, Carlos GarcÃa-Azpeitia, Olivier Hénot +2
For the three body problem with equal masses, we prove that the most symmetric continuation class of Lagrange's equilateral triangle solution, also referred to as the fami…
math.DS2026
Dynamics of perturbed elliptical billiard tables
Patrick Bishop, Summer Chenoweth, Emmanuel Fleurantin +2
Dynamical billiards consist of a particle on a two-dimensional table, bouncing elastically off a boundary curve. The state of the system is given by two numbers: one describing the…