Astrophysics

    

Dark Matter, the Correction to Newton's Law in a Disk

Authors: Yuri Heymann

The dark matter problem in the context of spiral galaxies refers to the discrepancy between the galactic mass estimated from luminosity measurements of galaxies with a given mass-to-luminosity ratio and the galactic mass measured from the rotational speed of stars using the Newton’s law. Newton’s law fails when applied to a star in a spiral galaxy. The problem stems from the fact that Newton’s law is applicable to masses represented as points by their barycenter. As spiral galaxies have shapes similar to a disk, we shall correct Newton’s law accordingly. We found that the Newton’s force exerted by the interior mass of a disk on an adjacent mass shall be multiplied by the coefficient ηdisk estimated to be 7.44±0.83 at a 99% confidence level. The corrective coefficient for the gravitational force exerted by a homogeneous sphere at it’s surface is 1.00±0.01 at a 99% confidence level, meaning that Newton’s law is not modified for a spherical geometry. This result was proven a long time ago by Newton in the shell theorem.

Comments: 8 Pages. Accepted for publication in Progress in Physics

Download: PDF

Submission history

[v1] 2016-07-19 23:11:49
[v2] 2016-07-21 00:59:04 (removed)
[v3] 2016-07-23 11:08:11 (removed)
[v4] 2016-08-09 14:21:51 (removed)
[v5] 2016-09-11 22:58:14

Unique-IP document downloads: 860 times

Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.

Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.

comments powered by Disqus