中科院数学与系统科学研究院

数学研究所

动力系统研究中心

学术报告会

报告人：Prof. Tiancheng Ouyang（Brigham Young University, USA）

题   目：Variational Method of N-body Problem in Celestial Mechanics

时   间：07.25（星期五）, 9:00--10:00 

地   点：数学院南楼N913室

Abstract：In this talk, I will give a brief introduction on the variational methods of N-body problem in celestial mechanics from 2001-2014 with emphasizing the work of our collaborate research group.According to Newton's second law, the motion of N point bodies with positive masses m₁, m₂,…,m_N located at positions  is governed by the system of second-order nonlinear vector difference equations

where the derivative is with respect to the time variable t, and G is the universal gravitational constant.By using examples I will demonstrate the new variational method on the discovering new periodic orbits of the n-body problem in celestial mechanics.The original ideas combine with vivid numerical simulation will be presented in this talk.