标题： 长周期动力学稳定性在太阳系外部分：34个最大的海王星外天体的规则与混沌演化 显示英文标题

标题： Long-term Dynamical Stability in the Outer Solar System I: The Regular and Chaotic Evolution of the 34 Largest Trans-Neptunian Objects

摘要： 我们对太阳系外层的稳定性进行了广泛分析，利用频率分析技术对近十万颗测试粒子的短期积分进行了分析，并且还对200次持续1吉年（Gyr）的数值模拟进行了统计分析，这些模拟考虑了巨行星之间的相互扰动以及34个最大的海王星外天体（我们将这34个天体统称为“矮行星”（DPs），尽管可能只有其中最大的几个才是真正的DPs）。 从频率分析中，我们为$a$-$e$相空间平面的广阔区域生成了统计扩散图；我们还展示了轨道的平均扩散时间作为近日点的函数。 随后，我们将注意力转向这34个DPs，对每个天体进行了单独分析，并对其未来稳定性做出了初步估计。 从这34个DPs轨道演化的200种不同实现中，我们将样本分为三类，包括17个稳定的、11个不稳定的和6个处于共振状态的天体；我们还发现，从统计上看，样本中有2个天体将在接下来的吉年内离开海王星外区域，最有可能被太阳系弹出，但也存在不可忽略的概率进入海王星轨道以内，要么与巨行星相撞，甚至坠入内太阳系，在那里我们的模拟已无法再解析它们的连续演化。 显示英文摘要

摘要： We carried out an extensive analysis of the stability of the outer solar system, making use of the frequency analysis technique over short-term integrations of nearly a hundred thousand test particles, as well as a statistical analysis of 200, 1 Gyr long numerical simulations, which consider the mutual perturbations of the giant planets and the 34 largest trans-Neptunian objects (we have called all 34 objects ``dwarf planets'', DPs, even if probably only the largest of them are true DPs). From the frequency analysis we produced statistical diffusion maps for a wide region of the $a$-$e$ phase-space plane; we also present the average diffusion time for orbits as a function of perihelion. We later turned our attention to the 34 DPs making an individualized analysis for each of them and producing a first approximation of their future stability. From the 200 distinct realizations of the orbital evolution of the 34 DPs, we classified the sample into three categories including 17 Stable, 11 Unstable, and 6 Resonant objects each; we also found that statistically, 2 objects from the sample will leave the trans-Neptunian region within the next Gyr, most likely being ejected from the solar system, but with a non-negligible probability of going inside the orbit of Neptune, either to collide with a giant planet or even falling to the inner solar system, where our simulations are no longer able to resolve their continuous evolution.