高斯长期动力学方法，软化
Gauss's method for secular dynamics, softened
摘要：
我们表明，高斯提出的算法来计算长期的引力相互作用开普勒环的演化自然延伸到软化的引力相互作用。由此产生的工具是理想的长期动力学演化的研究，近开普勒系统，如星团周围的黑洞在星系核，彗星云，或星子盘。我们说明了它的准确性，效率和多功能性的各种配置。特别是，我们研究了一个长期不稳定的不稳定系统的反旋转磁盘，并按照展开和饱和的不稳定性成一个全球性的，一致的进动，不平衡（m=1）模式。
英文摘要：
We show that the algorithm proposed by Gauss to compute the secular evolution of gravitationally interacting Keplerian rings extends naturally to softened gravitational interactions. The resulting tool is ideal for the study of the secular dynamical evolution of nearly Keplerian systems such as stellar clusters surrounding black holes in galactic nuclei, cometary clouds, or planetesimal discs. We illustrate its accuracy, efficiency and versatility on a variety of configurations. In particular, we examine a secularly unstable unstable system of counter-rotating disks, and follow the unfolding and saturation of the instability into a global, uniformly precessing, lopsided (m=1) mode.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
