- Rhee, Myung-Hyun
- 韓國宇宙科學會誌 = Journal of astronomy & space sciences
- 9, n.1
- pp.11-29
- 1992
- 원문 바로보기
In 1963, Toomre built up classes of mass models for the highly flattened galaxies which have free parameters n, <TEX>$a_n$</TEX> and <TEX>$C_n$</TEX>. In order to keep the universal dimension, we adopt parameters <TEX>$b_n({C_n}^2={a_n}^{2n}+^2{b_n}^2/(n-1)!)$</TEX> insteal of <TEX>$C_n$</TEX>. Series of the normalized Toomre's mass models (G = <TEX>$V_{max}$</TEX> =<TEX>$R_{max}$</TEX> = 1, n = 1 to 7) are derived and the normalized parameters <TEX>$a_n$</TEX> and <TEX>$b_n$</TEX> are determined by the iteration method. Replacing parameters <TEX>$a_n$</TEX> and <TEX>$b_n$</TEX> to <TEX>${a_n}^l(=a_nr_{max})$</TEX> and <TEX>${b_n}^l(=b_n\cdotV_{max}/r_{max})$</TEX>, we can get the generalization of Toomre's mass model.