Mathematical Physics

    

From the Kinematics of Elliptical Motion to the Law of Gravitation

Authors: Viktor Strohm

The law of force governing the motion of a material point along an elliptical orbit is derived using a purely kinematic approach. Starting from the differential equations of motion in a Cartesian coordinate system, an angular equation of motion is obtained that directly leads to Kepler’s second law. It is shown that the acceleration is directed toward the focus of the ellipse and is inversely proportional to the square of the distance. The derived expressions are applied to the Earth—Moon system. Forces calculated using Newton’s second law are compared with those given by Newton’s law of universal gravitation. The relative discrepancy does not exceed 1.1%, confirming their equivalence.

Comments: 4 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references)

Download: PDF

Submission history

[v1] 2026-02-09 21:36:20

Unique-IP document downloads: 118 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