Authors: Jin He
The assumption that the mass distribution of spiral galaxies is rational was suggested 11 years ago. The rationality means that on any spiral galaxy disk plane there exists a special net of orthogonal curves. The ratio of mass density at one side of a curve (from the net) to the one at the other side is constant along the curve. Such curve is called a proportion curve. Such net of curves is called an orthogonal net of proportion curves. I also suggested that the arms and rings are the disturbance to the rational structure. To achieve the minimal disturbance, the disturbing waves trace the orthogonal or non-orthogonal proportion curves. I proved 6 years ago that exponential disks and dual-handle structures are rational. Recently, I have also proved that rational structure satisfies a cubic algebraic equation. Based on these results, this paper ultimately demonstrates visually what the orthogonal net of proportion curves looks like if the superposition of a disk and dual-handle structures is still rational. That is, based on the natural solution of the equation, the rate of variance along the 'radial' direction of the logarithmic mass density is obtained. Its image is called the 'basket graph'. The myth of galaxy structure will possibly be resolved based the further study of 'basket graphs'.
Comments: 13 pages. In chinese
[v1] 23 Mar 2011
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