STRUCTURE OF THE SPIRAL GALAXY NGC 300 -1. The generalzation of Toomre's mass model-

  • Rhee, Myung-Hyun (Department of Astronomy and Atmospheric Science Yonsei University) ;
  • Chun, Mun-Suk (Department of Astronomy and Atmospheric Science Yonsei University)
  • Published : 1992.06.01

Abstract

In 1963, Toomre built up classes of mass models for the highly flattened galaxies which have free parameters n, $a_n$ and $C_n$. In order to keep the universal dimension, we adopt parameters $b_n({C_n}^2={a_n}^{2n}+^2{b_n}^2/(n-1)!)$ insteal of $C_n$. Series of the normalized Toomre's mass models (G = $V_{max}$ =$R_{max}$ = 1, n = 1 to 7) are derived and the normalized parameters $a_n$ and $b_n$ are determined by the iteration method. Replacing parameters $a_n$ and $b_n$ to ${a_n}^l(=a_nr_{max})$ and ${b_n}^l(=b_n\cdotV_{max}/r_{max})$, we can get the generalization of Toomre's mass model.

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