Equilibrium figures with polar rings | Zendy

Kondratyev B.P. | Zendy

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Equilibrium figures with polar rings

Author(s) -

Kondratyev B.P.

Publication year - 2013

Publication title -

astronomische nachrichten

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.394

H-Index - 63

eISSN - 1521-3994

pISSN - 0004-6337

DOI - 10.1002/asna.201311926

Subject(s) - equator , physics , ellipsoid , polar , perpendicular , polar coordinate system , plane (geometry) , ring (chemistry) , galaxy , classical mechanics , differential equation , differential rotation , spherical coordinate system , mathematical analysis , geometry , astrophysics , stars , mathematics , quantum mechanics , astronomy , chemistry , organic chemistry , latitude

We study the dynamics of a spheroidal galaxy with a gravitating polar ring whose plane is perpendicular to the equator. We consider this problem in the tidal approximation and derive a closed set of equations, which we reduce to a seventh‐order differential equation. We solve the resulting equation to find that perturbations from the polar ring deform the spheroid into a non‐stationary rotating triaxial ellipsoid with linear internal velocity field. (© 2013 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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