匈牙利小行星所占区域的动态图像：火星的影响
Dynamic portrait of the region occupied by the Hungaria Asteroids: The influence of Mars
摘要：
匈牙利小行星所占据的区域具有高度的动力学复杂性。本文通过构造初始条件图，分析了已知小行星的主要动力学结构及其影响。我们进化一组测试粒子放置在一个完美的矩形网格的初始条件下，在3万年的太阳和八个行星的引力影响下，从水星到海王星。此外，我们使用的方法MEGNO，以获得一个完整的动态画像的区域。我们的地图与真实物体的分布比较，使我们能够检测到主要的动力学机制，如平均运动和长期共振的研究领域。我们的主要结果是在一个稳定的区域内存在一个小区域，其中放置了匈牙利小行星。我们发现，火星的影响对该地区的动态结构具有重要作用，确定了小行星数量的限制。我们的结果是在协议与以前的研究，这表明了重要性的偏心率的火星匈牙利小行星的稳定性。然而，我们发现，由于耦合的近日点岁差产生的长期共振，建议作为匈牙利地区的限制，不能决定这个人口的小行星。
英文摘要：
The region occupied by the Hungaria asteroids has a high dynamical complexity. In this paper, we analyse the main dynamic structures and their influence on the known asteroids through the construction of maps of initial conditions. We evolve a set of test particles placed on a perfectly rectangular grid of initial conditions during 3 Myr under the gravitational influence of the Sun and eight planets, from Mercury to Neptune. Moreover, we use the method MEGNO in order to obtain a complete dynamical portrait of the region. A comparison of our maps with the distribution of real objects allows us to detect the main dynamical mechanisms acting in the domain under study such as mean-motion and secular resonances. Our main results is the existence of a small area inside a stable region where are placed the Hungaria asteroids. We found that the influence of Mars has an important role for the dynamic structure of the region, defining the limits for this population of asteroids. Our result is in agreement with previous studies, which have indicated the importance of the eccentricity of Mars for the stability of Hungaria asteroids. However, we found that the secular resonance resulting from the precession of perihelion due to a coupling with that of Jupiter proposed as limit for the Hungaria region could not be determinant for this population of asteroids.
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