Designer basis functions for potentials in galactic dynamics
نویسندگان
چکیده
منابع مشابه
Designer Basis Functions for Potentials in Galactic Dynamics
Existing methods for solving Poisson's equation using basis functions can be made considerably more exible, yet simpler, by using non-orthogonal basis functions. The rst part of this paper describes how such basis sets can be constructed. The second part gives explicit formulas (up to quadratures and matrix inversions) for basis functions being spherical harmonics times radial functions; two ba...
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Potential-Density Basis Sets for Galactic Disks
A class of complete potential-density basis sets in cylindrical (R,φ, z) coordinates is presented. This class is suitable for stability studies of galactic disks in three dimensions and includes basis sets tailored for disks with vertical density profiles that are exponential (e−|z|/z0), Gaussian (e−(z/z0) 2 ) or locally isothermal ( sech(z/z0) ). The basis sets are non-discrete and non-biortho...
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This paper focuses on symmetric potentials subjected to periodic driving. Four unperturbed potentials V0(r) were considered, namely the Plummer potential and Dehnen potentials with γ = 0.0, 0.5, and 1.0, each subjected to a time-dependence of the form V (r, t) = V0(r)(1 +m0 sinωt). In each case, the orbits divide clearly into regular and chaotic, distinctions which appear absolute. In particula...
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Two of the world’s leading astrophysicists, James Binney and Scott Tremaine, here present a comprehensive review of the theory of galactic dynamics at a level suitable for both graduate students and researchers. Their work in this volume describes our present understanding of the structure and dynamics of stellar systems such as galaxies and star clusters. Nicknamed “the Bible of galactic dynam...
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ژورنال
عنوان ژورنال: Monthly Notices of the Royal Astronomical Society
سال: 1993
ISSN: 0035-8711,1365-2966
DOI: 10.1093/mnras/262.4.1062