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New biorthogonal potential-density basis functions

Rahmati, A ; Sharif University of Technology | 2009

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  1. Type of Document: Article
  2. DOI: 10.1111/j.1365-2966.2008.14226.x
  3. Publisher: 2009
  4. Abstract:
  5. We use the weighted integral form of spherical Bessel functions and introduce a new analytical set of complete and biorthogonal potential-density basis functions. The potential and density functions of the new set have finite central values and they fall off, respectively, similar to r-(1+ l) and r-(4+ l) at large radii, where l is the latitudinal quantum number of spherical harmonics. The lowest order term associated with l = 0 is the perfect sphere of de Zeeuw. Our basis functions are intrinsically suitable for the modelling of three-dimensional, soft-centred stellar systems and they complement the basis sets of Clutton-Brock, Hernquist & Ostriker and Zhao. We test the performance of our functions by expanding the density and potential profiles of some spherical and oblate galaxy models. © 2009 RAS
  6. Keywords:
  7. Celestial mechanics ; Galaxies: kinematics and dynamics ; Methods: analytical ; Methods: numerical ; Stellar dynamics
  8. Source: Monthly Notices of the Royal Astronomical Society ; Volume 393, Issue 4 , 2009 , Pages 1459-1466 ; 00358711 (ISSN)
  9. URL: https://academic.oup.com/mnras/article/393/4/1459/1007170