A proof of Saari's homographic conjecture

2022/12/20 by Pieter Tibboel, Tibboel, Pieter
Physics and Astronomy · Engineering · #Astronomical and nuclear sciences #Nuclear physics research studies #Spacecraft Dynamics and Control

paper · pdf · doi:10.48550/arxiv.2212.10148

Abstract

We prove Saari's homographic conjecture for a large class of n-body problems with power law potentials, including the classical n-body problem.

Related

• Saari's Homographic Conjecture of the Three-Body Problem
• A proof of Saari's conjecture
• Saari's Conjecture and Variational Minimal Solutions for N-Body Problems
• Saari's Conjecture for Elliptical Type N-Body Problem and An Application
• Saari's Conjecture is True for Generic Vector Fields