Authors: Jin He
The concept of rational structure was suggested in 2000. A flat material distribution is called the rational structure if there exists a special net of orthogonal curves on the plane, and 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. Eleven years have passed and a rational sufficient condition for given material distribution is finally obtained. This completes the mathematical basis for the study of rational structure and its galaxy application. People can fit the stellar distribution of a barred spiral galaxy with exponential disk and dual-hand structure by varying their parameter values. If the conjecture is proved that barred galaxies satisfy a rational suffcient condition then the assumption of galaxy rational origin will be established.
Comments: 45 pages (the final 28 pages are c++ program source file)
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