Abstract

LOPEZ-SUSPES, Framsol  and  GONZALEZ, Guillermo A.. THICK DISKS WITH NEWTONIAN MULTIPOLAR MOMENTS. Rev. acad. colomb. cienc. exact. fis. nat. [online]. 2013, vol.37, n.144, pp.301-305. ISSN 0370-3908.

We present a new family of stable thick discs from known displace, cut, fill and reflect method (González & Letelier, 2004; Vogt & Letelier, 2005) is presented. Solutions of the Laplace equation in cylindrical coordinates are considered, these one represent the gravitational field of objects with only external multipole moments. The physical quantities in the plane of the disk, are defined and calculated such as, the epicyclic frequency, k, the vertical frequency, n, and the circular velocity, u_c of particles. The surface density, s, density of thick disk, r, and stability of thick disks through of specific angular momentum or Rayleigh criterion (Rayleigh, 1917), and (Landau, 1987) were calculated. Finally, the physical properties are shown for only some parameters considering only until quadrupolar term in the expasion gravitational potential multipolar

Keywords : Thick disk; Rayleigh; epicyclic frequency; multipole.

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