具有超大质量双星黑洞的星系：（III）核系统中的Roche瓣和Jiang-Yeh瓣
Galaxies with Supermassive Binary Black Holes: (III) The Roche Lobes and Jiang-Yeh Lobe in a Core System
摘要：
本文讨论了含有超大质量双星黑洞的星系系统的三维等势面。本文研究了重要曲面Roche Lobe和Jiang-Yeh Lobe的拓扑转换条件。此外，Jacobi曲面的数学性质进行了分析研究。最后，提出了一个确定罗氏叶和江叶区域的数值方法。
英文摘要：
Three-dimensional equi-potential surfaces of a galactic system with supermassive binary black holes are discussed herein. The conditions of topological transitions for the important surfaces, i.e. Roche Lobes and Jiang-Yeh Lobe, are studied in this paper. In addition, the mathematical properties of the Jacobi surfaces are investigated analytically. Finally, a numerical procedure for determining the regions of the Roche Lobes and Jiang-Yeh Lobe is suggested.
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