中科院数学与系统科学研究院
数学研究所
学术报告会
报告人：Dr. Lei Zhao （Johann Bernoulli Institute, University of Groningen)
题 目：Almost-collision orbits in the spatial three-body problem
时 间：08.26（星期二）, 16:00--17:00
地 点：数学院南楼N913室
摘要：In a system of particles, Almost -collision orbits are collisionless orbits along which two bodies become arbitrarily close to each other-the lower limit of their distance is zero but the upper limit is strictly positive. The existence of such orbits was shown in the restricted planar circular three-body problem by A. Chenciner and J. Llibre, and later, in the planar three-body problem by J. Féjoz. In the spatial three-body problem, the existence of a set of positive measure of such orbits was predicted by C. Marchal. In this talk, I shall present a proof of Marchal’s prediction.
