For my second book titled “Philosophy Unscrambles Dark Matter”, I was in need to explain flat rotation curves of galaxies. To visualize the mass distribution in the galaxy, I made a sort of simulation in MS Excel. Following was the final product of the mass distribution in terms of Newton’s Theorem XXXIII.
These are all square cells of MS Excel. One colored cell let’s say represents 1 billion solar masses. At the center, there is only one box. In the first layer around the center, there are 8 boxes. It means that first layer is 8 times massive than center. In the second layer, there are 16 boxes. In the third layer, boxes are 24. In the fourth layer, there are 32 boxes. Following is a closeup image up to this layer:
Its meaning is that for these simple settings for mass distribution in galaxy, mass keeps on increasing layer upon layer up to the end of central bulge area.
Outside of the central bulge area, mass in each successive layer remains EQUAL to the total mass of the outer layer of the central bulge. It means that from fifth layer and onward, each layer will contain 32 boxes. Not strict, but the rule is that ‘density’ remains the same within central bulge area whereas ‘mass’ remains the same in every layer outside of the central bulge area. And following will be the final result:
And this thing also successfully explains the flat rotation curve of galaxies:
For details, please see the free PDF relevant section of the book on following link: