Oscillations of rotating polytropic gas discs
نویسندگان
چکیده
منابع مشابه
Acoustic oscillations of rapidly rotating polytropic stars
Context. With the launch of space missions devoted to asteroseismology (like COROT), the scientific community will soon have accurate measurements of pulsation frequencies in many rapidly rotating stars. Aims. The present work focuses on the effects of rotation on pulsations of rapidly rotating stars when both the Coriolis and centrifugal accelerations require a non-perturbative treatment. Meth...
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We give a Lax description for the system of polytropic gas equations. The special structure of the Lax function naturally leads to the two infinite sets of conserved charges associated with this system. We obtain closed form expressions for the conserved charges as well as the generating functions for them. We show how the study of these generating functions can naturally lead to the recursion ...
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A new non-perturbative method to compute accurate oscillation modes in rapidly rotating stars is presented. In this paper, the effect of the centrifugal force is fully taken into account while the Coriolis force is neglected. This assumption is valid when the time scale of the oscillation is much shorter than the inverse of the rotation rate and is expected to be suitable for high radial order ...
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An iterative method is presented for solving the problem of a uniformly rotating, selfgravitating ring without a central body in Newtonian gravity by expanding about the thin ring limit. Using this method, a simple formula relating mass to the integrated pressure is derived to the leading order for a general equation of state. For polytropes with the index n = 1, analytic coefficients of the it...
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ژورنال
عنوان ژورنال: Monthly Notices of the Royal Astronomical Society
سال: 1984
ISSN: 0035-8711,1365-2966
DOI: 10.1093/mnras/207.3.491