Preprint Brief Report Version 1 Preserved in Portico This version is not peer-reviewed

On a variant of Newton-Coulomb's law

Version 1 : Received: 30 December 2020 / Approved: 30 December 2020 / Online: 30 December 2020 (07:40:53 CET)

How to cite: Haraux, A. On a variant of Newton-Coulomb's law. Preprints 2020, 2020120741. Haraux, A. On a variant of Newton-Coulomb's law. Preprints 2020, 2020120741.


A variant of the usual formulas for gravitational and electrostatic fields, differing from those by a logarithmic term, is introduced in order to solve some questions connected with a possible atomic contraction phenomenon at large time scale and the so-called hidden mass problem in cosmology. This approach is conceptuallly related to the MOND theory of M. Milgrom but allows a reversal of attracting forces when the distance becomes very small. The asymptotic behavior of solutions of a related dissipative ODE is studied, we obtain that all bounded trajectories converge to a point where the field vanishes.


attracting field; logarithmic perturbation; reversal of force; dissipative ODE


Physical Sciences, Mathematical Physics

Comments (0)

We encourage comments and feedback from a broad range of readers. See criteria for comments and our Diversity statement.

Leave a public comment
Send a private comment to the author(s)
* All users must log in before leaving a comment
Views 0
Downloads 0
Comments 0
Metrics 0

Notify me about updates to this article or when a peer-reviewed version is published.
We use cookies on our website to ensure you get the best experience.
Read more about our cookies here.