论文标题
由偏心行星激发的原星盘中的密度波：线性理论
Density waves in protoplanetary discs excited by eccentric planets: linear theory
论文作者
论文摘要
在原星盘中观察到的螺旋密度波经常被用来推断嵌入行星的存在。这种推论既取决于模拟，又依赖于在圆形轨道上为行星开发的行星盘相互作用的线性理论，以预测密度唤醒的形态。在这项工作中，我们开发并实施了一个线性框架，用于计算由偏心行星驱动的气体盘中密度波的结构。我们的方法考虑了问题的基本方位期和时间周期性，使我们能够处理任何周期性的扰动潜力（即不仅是怪异星球的潜力）。我们通过计算嵌入在全球等温盘中的怪异的低质量行星激发的密度波的形态来测试我们的框架，并将我们的结果与Zhu和Zhang对同一问题的最新直接数值模拟（和启发式小波分析）进行比较。我们发现与数值模拟的一致性非常吻合，捕获了所有复杂的偏心特征，包括螺旋分叉，波浪交叉和行星波脱离，与小波方法相比，精度和细节提高了。这说明了我们线性框架在复杂时间相关密度醒来的形态中的力量，将其作为对偏心行星盘相互作用的未来研究的宝贵工具。
Spiral density waves observed in protoplanetary discs have often been used to infer the presence of embedded planets. This inference relies both on simulations as well as the linear theory of planet-disc interaction developed for planets on circular orbits to predict the morphology of the density wake. In this work we develop and implement a linear framework for calculating the structure of the density wave in a gaseous disc driven by an eccentric planet. Our approach takes into account both the essential azimuthal and temporal periodicities of the problem, allowing us to treat any periodic perturbing potential (i.e. not only that of an eccentric planet). We test our framework by calculating the morphology of the density waves excited by an eccentric, low-mass planet embedded in a globally isothermal disc and compare our results to the recent direct numerical simulations (and heuristic wavelet analysis) of the same problem by Zhu and Zhang. We find excellent agreement with the numerical simulations, capturing all the complex eccentric features including spiral bifurcations, wave crossings and planet-wave detachments, with improved accuracy and detail compared with the wavelet method. This illustrates the power of our linear framework in reproducing the morphology of complicated time-dependent density wakes, presenting it as a valuable tool for future studies of eccentric planet-disc interactions.
