论文标题
评估行星体系结构鲁棒性的数值标准；申请$ \ upsilon $andromedæ系统
A numerical criterion evaluating the robustness of planetary architectures; applications to the $\upsilon$ Andromedæ system
论文作者
论文摘要
我们重新审查了在极性行星系统中存在KAM Tori的问题。具体来说，我们通过使用三体问题对其进行建模来考虑$ \ upsilon $andromedæ系统。这项初步研究使我们能够引入一种自然的方法来评估行星轨道的鲁棒性，这很容易在数值探索中实施。我们将标准应用于选择合适的轨道配置的问题，该轨道配置具有强大的稳定性，并且与可用于$ \ upsilon $andromedæ系统本身的观察数据兼容。
We revisit the problem of the existence of KAM tori in extrasolar planetary systems. Specifically, we consider the $\upsilon$ Andromedæ system, by modelling it with a three-body problem. This preliminary study allows us to introduce a natural way to evaluate the robustness of the planetary orbits, which can be very easily implemented in numerical explorations. We apply our criterion to the problem of the choice of a suitable orbital configuration which exhibits strong stability properties and is compatible with the observational data that are available for the $\upsilon$ Andromedæ system itself.
