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)
TL;DR
This paper analyzes the topological and mathematical properties of Roche Lobes and Jiang-Yeh Lobes in galactic systems with supermassive binary black holes, providing analytical insights and a numerical method for their determination.
Contribution
It offers a detailed analysis of the conditions for topological transitions and the mathematical properties of these surfaces in such galactic systems, which is a novel contribution.
Findings
Conditions for topological transitions are identified.
Mathematical properties of Jacobi surfaces are analytically derived.
A numerical procedure for determining Roche and Jiang-Yeh Lobes is proposed.
Abstract
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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