Murray N, Holman M
Canadian Institute for Theoretical Astrophysics, University of Toronto, 60 St. George Street, Toronto, Ontario M5S 3H8, Canada. Harvard-Smithsonian Center for Astrophysics, 60 Garden Street, Cambridge, MA 02138, USA.
Science. 1999 Mar 19;283(5409):1877-81. doi: 10.1126/science.283.5409.1877.
Classical analytic theories of the solar system indicate that it is stable, but numerical integrations suggest that it is chaotic. This disagreement is resolved by a new analytic theory. The theory shows that the chaos among the jovian planets results from the overlap of the components of a mean motion resonance among Jupiter, Saturn, and Uranus, and provides rough estimates of the Lyapunov time (10(7) years) and the dynamical lifetime of Uranus (10(18) years). The jovian planets must have entered the resonance after all the gas and most of the planetesimals in the protoplanetary disk were removed.
经典的太阳系分析理论表明它是稳定的，但数值积分结果却显示它是混沌的。一种新的分析理论解决了这一分歧。该理论表明，类木行星之间的混沌是由木星、土星和天王星之间平均运动共振分量的重叠导致的，并给出了李雅普诺夫时间（10^7年）和天王星动力学寿命（10^18年）的粗略估计。类木行星必定是在原行星盘中所有气体和大部分小行星体被清除之后进入共振的。
