classical analysis of the rotational dynamic of spiral galaxies

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Classical analysis of the rotational dynamic of spiral galaxies E. López-Sandoval Centro Brasileiro de Pesquisas Físicas, Rua Dr. Xavier Sigaud, 150 CEP 22290-180, Rio de Janeiro, RJ, Brazil. E-mail: [email protected] In this paper we study like a “stellar dynamic” model, the stars' rotational dynamics of spiral galaxies: with a distribution of its own mass, rotating around its centre (with a higher density), by means of a classical calculus we obt ain the rotat ion al vel oci ties of a sta r around its rot ati on axi s (cen te r of the ga la xy ), considerin g that it is in side a smoothed distribution of matter. Two kinds of matter distribution are supposed: one with constant density, and other with radial and angular distribution. The stars are supposed to be particles and their distribution in the galaxy is modeled as a matter distribution inversely proportional to its distance from its centre. Two types of galaxy symmetry are also considered: sp heri cal and oblate el li ps oi da l. Using only cl assi cal mechanics arguments it is shown that the calculated velocity distribution inside a gal axy is similar to tha t obtained from ast ron omi cal observati ons , without the necessity of suppose the existence of dark matter or other  phenomena.  Keywords: Spiral Galaxies; Rotational Dynamic; Dark Matter.  

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