论文标题
单个星光白矮人系统的高分辨率谐振肖像
High-resolution resonant portraits of a single-planet white dwarf system
论文作者
论文摘要
当其母恒星离开主序列时，由于平均运动谐振相互作用而引起的小行星的动态激发会增强。然而，对序列后序列模拟中共振结果的数值研究在计算上是昂贵的，这限制了进行了详细的谐振分析的程度。在这里，我们结合了高性能计算机群集的使用和Gallardo等人的一般半分析文库宽度公式。 （2021）为了量化恒星进化的谐振稳定性，强度和变异，用于在交叉和非交叉轨道上含有小行星的单个星球系统。我们发现，通过计算最大库宽度作为小行星经度的函数，可以将共振的不稳定性与主要序列值进行准确的束缚。我们还量化了在巨型分支和白色矮人阶段期间，不同阶的平均运动共振的相对效率稳定与破坏稳定的小行星轨道。 4：1、3：1和2：1共振代表了白矮人的有效污染者，即使在轨道交叉方案中，4：3和3：3：3：3：3：3：3：3：3：3：3的共振都可以保留在稳定的轨道中的小行星储层中，整个巨大的分支和白色dwarf进化。这项研究代表了表征简化的柯克伍德间隙结构如何发展超出主要序列的初步步骤。
The dynamical excitation of asteroids due to mean motion resonant interactions with planets is enhanced when their parent star leaves the main sequence. However, numerical investigation of resonant outcomes within post-main-sequence simulations is computationally expensive, limiting the extent to which detailed resonant analyses have been performed. Here, we combine the use of a high-performance computer cluster and the general semianalytical libration width formulation of Gallardo et al. (2021) in order to quantify resonant stability, strength and variation instigated by stellar evolution for a single-planet system containing asteroids on both crossing and non-crossing orbits. We find that resonant instability can be accurately bound with only main-sequence values by computing a maximum libration width as a function of asteroid longitude of pericentre. We also quantify the relative efficiency of mean motion resonances of different orders to stabilize versus destabilize asteroid orbits during both the giant branch and white dwarf phases. The 4:1, 3:1 and 2:1 resonances represent efficient polluters of white dwarfs, and even when in the orbit-crossing regime, both the 4:3 and 3:2 resonances can retain small reservoirs of asteroids in stable orbits throughout giant branch and white dwarf evolution. This investigation represents a preliminary step in characterising how simplified extrasolar Kirkwood gap structures evolve beyond the main-sequence.
