The Fundamental Plane of Spiral Galaxies: Search from Observational Data

preprint2001arXivOpen access

Abstract

The fundamental plane of spiral galaxies was searched from observational data, which can be approximately represented in observational parameters by L∝V2R L \propto V^2 R , where LL, RR, and VV are the luminosity, the linear size of galactic disk, and the rotation velocity. This plane exists at all optical bands in our samples of more than 500 spiral galaxies in total. It is more fundamental than the relationship between any two of the parameters, and can reduce the residual of the Tully--Fisher LL--VV relations by about 50\%. Noticed that the power index of VV is doubled from that of RR, which implies that the total mass and the mass distribution of galaxies plays an important role in forming the fundamental plane. Involving the third parameter of galactic size has a strong physical implication on galaxy formation and the dark--mass distribution.

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