报告简介：The famous three-body problem, originating from the Sun-Earth-Moon system under the Newtonian gravita- tion field, is particularly attractive, for which Oscar I- I, King of Sweden, established a prize in 1887 for anyone who could find the solution. The prize was finally awarded to Henri Poincaré, who first found that there is no general analytical solution. It is now recognized that the ensemble of its orbits has an enormous complexity. Recently, thanks to the advance of computational techniques, some breakthroughs begin to emerge: a figure-eight orbit was discovered numerically by Moore in 1993, and 13 new distinct periodic orbits are found by Suvakov and Dmitrasinovic in 2013, when three masses are equal with zero angular momentum. In 2017, Li and Liao, Li et al. reported a further major advance: 695 periodic orbits with equal masses, and 1223 periodic orbits found later with unequal masses. In 2018, Sun proposed a Kepler’s third law for 3-body and n-body system.