Galaxies with Supermassive Binary Black Holes: (III) The Roche Lobes and Jiang-Yeh Lobe in a Core System

(2) National Tsing-Hua University; Ing-Guey Jiang (2) ((1) National Hsinchu University of Education; Li-Chin Yeh (1); Taiwan; Taiwan)

arxiv: 1609.07620 · v1 · pith:C6XJ4TXEnew · submitted 2016-09-24 · 🌌 astro-ph.GA

Galaxies with Supermassive Binary Black Holes: (III) The Roche Lobes and Jiang-Yeh Lobe in a Core System

Li-Chin Yeh (1) , Ing-Guey Jiang (2) ((1) National Hsinchu University of Education , Taiwan , (2) National Tsing-Hua University , Taiwan) This is my paper

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keywords jiang-yehlobelobesrochesurfacesbinaryblackholes

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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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Galaxies with Supermassive Binary Black Holes: (III) The Roche Lobes and Jiang-Yeh Lobe in a Core System

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