Three-dimensional, axisymmetric cusps without chaos | Zendy

S. Sridhar | Zendy; J. Tourna | Zendy

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Three-dimensional, axisymmetric cusps without chaos

Author(s) -

S. Sridhar,

J. Tourna

Publication year - 1997

Publication title -

monthly notices of the royal astronomical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.058

H-Index - 383

eISSN - 1365-8711

pISSN - 0035-8711

DOI - 10.1093/mnras/292.3.657

Subject(s) - physics , rotational symmetry , oblate spheroid , chaos (operating system) , classical mechanics , mathematical analysis , geometry , mechanics , computer security , mathematics , computer science

We construct three dimensional axisymmetric, cuspy density distributions,whose potentials are of St\"ackel form in parabolic coordinates. As in Sridharand Touma (1997), a black hole of arbitrary mass may be added at the centre,without destroying the St\"ackel form of the potentials. The construction usesa classic method, originally due to Kuzmin (1956), which is here extended toparabolic coordinates. The models are highly oblate, and the cusps are "weak",with the density, $\rho \propto 1/r^k$, where $0

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