Special Session 42: Hamiltonian Dynamics and Celestial Mechanics

Mass constraints of some planar central configurations
Kuochang Chen
National Tsing Hua University
Taiwan
Co-Author(s):    Ke-Ming Chang
Abstract:
Determining relations between central configurations and masses is a challenging task in celestial mechanics. In this talk we will demonstrate some nontrivial techniques and criteria for the existence and uniqueness of some central configurations with 5 or 6 bodies. In particular, we will show criteria for rhomboidal and kite configurations with non-parallel masses.