论文标题
通过计算机代数在太阳系中混乱的起源
The origin of chaos in the Solar System through computer algebra
论文作者
论文摘要
太阳系中行星混乱的运动的发现可以追溯到30多年来。尽管如此，到目前为止，还没有令人满意地解决混乱的起源。在计算机代数系统旅行中实施规范的扰动理论，我们系统地检索了内部行星强迫长期动力学的轨道解决方案工作中的世俗共振。我们将其半宽度的时间统计量与最大Lyapunov指数的集成分布进行比较，并以公正的方式建立混乱的动态源。该理论预测了新的共振，并根据太阳系的直接整合进行检查。内在行星的纠缠动力学的图像出现了。
The discovery of the chaotic motion of the planets in the Solar System dates back more than 30 years. Still, no analytical theory has satisfactorily addressed the origin of chaos so far. Implementing canonical perturbation theory in the computer algebra system TRIP, we systematically retrieve the secular resonances at work along the orbital solution of a forced long-term dynamics of the inner planets. We compare the time statistic of their half-widths to the ensemble distribution of the maximum Lyapunov exponent and establish dynamical sources of chaos in an unbiased way. New resonances are predicted by the theory and checked against direct integrations of the Solar System. The image of an entangled dynamics of the inner planets emerges.
