## The Structuring Force of Galaxies

**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)

**Download:** **PDF**

### Submission history

[v1] 28 Mar 2011

[v2] 4 Apr 2011

[v3] 12 May 2011

[v4] 18 May 2011

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