Special Session 38: Recent advances in the n-body problem

Distance estimates for action-minimizing solutions of the n-body problem
Bo-Yu Pan
Department of Applied Mathematics, National Chung Hsing University, Taiwan
Taiwan
Co-Author(s):    Kuo-Chang Chen
Abstract:
In this talk, we estimate mutual distances of action minimizing solutions for the n-body problem. We will present some quantitative estimates for these solutions, including their action values and bounds for their mutual distances. These estimates will facilitate numerical explorations to locate and search for new orbits effectively.