Galaxies with supermassive binary black holes: (III) The Roche Lobes and Jiang-Yeh Lobe in a core system

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...

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Bibliographic Details
Published in:Astrophysics and space science 2016-10, Vol.361 (10), p.1-13, Article 350
Main Authors: Yeh, Li-Chin, Jiang, Ing-Guey
Format: Article
Language:English
Subjects:
Astrobiology
Astronomy
Astrophysics
Astrophysics and Astroparticles
Binary stars
Binary systems (materials)
Black holes
Black holes (astronomy)
Cosmology
Galaxies
Lobes
Mathematical analysis
Mathematical models
Numerical analysis
Observations and Techniques
Original Article
Physics
Physics and Astronomy
Space Exploration and Astronautics
Space Sciences (including Extraterrestrial Physics
Stars & galaxies
Topology
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Summary: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.
ISSN:0004-640X
1572-946X
DOI:10.1007/s10509-016-2939-1