Mathematical Physics


Electrostatics, Gravity, and Galactic Force

Authors: Jack Bidnik

Electrostatics, Gravity, and Galactic Force © US 2015 by Jack Bidnik This paper is a continuation of my paper entitled Gravitational Forces Revisited (GFR), and may be considered as Chapter 2 of the concepts developed in that paper. Two corollaries of the derivation of Gs in GFR are elaborated here to show that the formula can be extended to include both the smallest and the largest masses and spaces. The same formula can give both the electrostatic force of the Hydrogen atom and also the force which counteracts the centrifugal force of large galaxies. I believe this development nullifies the most basic motive for postulating dark matter, which is that the gravitational force at such high speeds could not hold the galaxy together. Examples are given for galaxies of various size. The paper starts with continuing analysis of the mathematical conclusion in GFR that the derived force Ft is equivalent to the centripetal force of the orbit vo2/r. This analysis is perhaps superfluous since there is no other acceleration present radially than the one derived for Ft , but I present various looks at the math to dispel any nagging doubts. Another set of doubts to be dispelled involves the idea of frames of motion. It suffices to point out that when one uses the reduced mass, it is the equivalent of the motion of either mass in the frame of the other, since it is the equivalent of one mass being stationary.

Comments: 6 Pages.

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[v1] 2018-02-19 00:43:55

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