标题： 三体问题中的阿诺德扩散 显示英文标题

标题： Arnold Diffusion in the Full Three-Body Problem

摘要： 我们证明了平面全三体问题中存在Arnold扩散，该问题可以表示为Kepler问题和平面圆型限制性三体问题的摄动，其中摄动参数是最小质量天体的质量。 在此背景下，我们以能量转移的形式得到了Arnold扩散，转移的能量量与摄动参数无关，涉及Kepler问题和限制性三体问题之间。 我们的论证基于一种基于正确对齐窗口的拓扑方法，并将其纳入计算机辅助证明中。 这种方法可以应用于物理相关的天体质量，例如海王星-海卫一-小行星系统中的质量。 在这种情况下，我们可以得到摄动参数范围和扩散时间的具体估计。 显示英文摘要

摘要： We show the existence of Arnold diffusion in the planar full three-body problem, which is expressed as a perturbation of a Kepler problem and a planar circular restricted three-body problem, with the perturbation parameter being the mass of the smallest body. In this context, we obtain Arnold diffusion in terms of a transfer of energy, in an amount independent of the perturbation parameter, between the Kepler problem and the restricted three-body problem. Our argument is based on a topological method based on correctly aligned windows which is implemented into a computer assisted proof. This approach can be applied to physically relevant masses of the bodies, such as those in a Neptune-Triton-asteroid system. In this case, we obtain explicit estimates for the range of the perturbation parameter and for the diffusion time.