Newton's gravitational law and its derived Kapler's orbit of planetary motions are the very first triumph of science,which confirms that a purely human's invention of mathematics is able to accurately describe observations in nature.For the past three centuries,the frontier of science has moved to almost all areas of human experience,yet some basic problem in celestial mechanics has remained unsolved,despite the effort of many great minds like Newton (1687),Euler (1760) and Lagrange (1776),among others.