标题： Hilda小行星在圆型和椭圆型RTBP中的动力学研究 显示英文标题

标题： A dynamical study of Hilda asteroids in the Circular and Elliptic RTBP

摘要： 希尔达族是一组平均运动与木星呈3:2轨道共振的小行星。 在本文中，我们使用平面圆型限制三体问题（CRTBP）作为动力学模型，并展示了存在一组稳定的周期轨道，这些轨道被准周期运动的岛屿所包围。 我们计算了这些准周期运动的频率，并展示了希尔达族如何位于这些岛屿内部。 我们将这些结果与使用椭圆限制三体问题得到的结果进行了比较，结果相似，表明CRTBP模型的适用性。 结果表明，要判断一个给定的小行星是否属于希尔达族，最好是观察其在平面CRTBP中的频率，而不是像现在这样使用两体轨道元素。 显示英文摘要

摘要： The Hilda group is a set of asteroids whose mean motion is in a 3:2 orbital resonance with Jupiter. In this paper we use the planar Circular Restricted Three-Body Problem (CRTBP) as a dynamical model and we show that there exists a family of stable periodic orbits that are surrounded by islands of quasi-periodic motions. We have computed the frequencies of these quasi-periodic motions and we have shown how the Hilda family fits inside these islands. We have compared these results with the ones obtained using the Elliptic Restricted Three-Body Problem and they are similar, showing the suitability of the CRTBP model. It turns out that, to decide if a given asteroid belongs to the Hilda class, it is much better to look at its frequencies in the planar CRTBP rather than to use two-body orbital elements as it is commonly done today.