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
Unique-IP document downloads: 210 times
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