太阳系中一个1151年的准共轭性：实证检测、统计特征以及天王星的异常排除
A 1151-Year Quasi-Commensurability of the Solar System: Empirical Detection, Statistical Characterization, and the Anomalous Exclusion of Uranus
AI总结：
研究通过实证检测太阳系中多行星的准共轭性，并发现天王星的异常排除可能与其动态历史有关，提出天王星轨道可能因早期灾难性碰撞而改变。
摘要：
我们报告了太阳系中多行星准共轭性的实证检测，并识别出可能影响天王星动态历史的异常排除。全面搜索确定T*=420,403天（约1,151年）为应用在七颗行星每日日心黄经上的系列比较相似性度量的全局最小值。在此间隔，七颗行星的平均同时角位移为13.4度，标准差为0.65度，持续时间长达一个世纪，且在1,200年参考时期内保持稳定。T*在2,600个候选者中排名第一，与第二名相差1.09度。没有子倍数能产生相似的结果。七颗行星中的七颗参与同步，唯一例外是天王星，其恒星周期余数在T*时为-108.3度，接近三分之一的完整轨道，而海王星的余数仅为-5.2度，是七颗行星中最小的之一。天王星和海王星之间的明显不对称性构成了一个独立的实证特征，支持天王星轨道可能因早期灾难性碰撞而显著改变的假设。1,151年被巴比伦天文学家识别为金星回归周期（de Jong 2019）；本研究显示，这一间隔同时对六颗额外行星最优。源代码和数据已公开。
英文摘要：
We report the empirical detection of a multi-planet quasi-commensurability in the Solar System and identify an anomalous exclusion that may bear on the dynamical history of Uranus. An exhaustive search identifies T* = 420,403 days (approx. 1,151 years) as the global minimum of a series-comparison similarity metric applied to daily heliocentric ecliptic longitudes of seven planets -- Mercury, Venus, Earth, Mars, Jupiter, Saturn, and Neptune -- computed from the DE441 ephemeris over +/-1,300 years. At this interval, the mean simultaneous angular displacement of all seven planets is 13.4 degrees, with a standard deviation of 0.65 degrees sustained over a century-long window and stable across 1,200 years of reference epochs. T* ranks first among all 2,600 candidates, with a gap of 1.09 degrees to the second best. No sub-multiple produces a comparable result. Seven of the eight planets participate in the synchronism. The sole exception is Uranus, whose sidereal residue at T* is -108.3 degrees -- nearly one-third of a full orbit -- while Neptune's residue is only -5.2 degrees, one of the smallest among all seven planets after Earth's. This sharp asymmetry between the two ice giants constitutes an independent empirical signature consistent with the hypothesis that Uranus's orbital period was substantially modified by a catastrophic early impact. The interval 1,151 years was identified by Babylonian astronomers as the Venus return period (de Jong 2019); the present work shows it is simultaneously optimal for six additional planets. Source code and data are publicly available.
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