The Perihelion Precession of Mercury via a Heuristic Velocity-Dependent Potential

A heuristic toy model is proposed. Velocity dependence is directly incorporated into an effective mass ($M_{eff}$) which mathematically mimics the weak-field limit of General Relativity without having to solve the full Einstein field equations. The perihelion precession of Mercury is calculated as a demonstration.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-24
DOI
https://doi.org/10.5281/zenodo.22931786
Primary Topic
Quantum and Classical Electrodynamics
Type
preprint
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preprint

The Perihelion Precession of Mercury via a Heuristic Velocity-Dependent Potential

Siddhartha Manmothe
Zenodo (CERN European Organization for Nuclear Research)
Quantum and Classical Electrodynamics
preprint

The Perihelion Precession of Mercury via a Heuristic Velocity-Dependent Potential

Siddhartha Manmothe
preprint en

Abstract

A heuristic toy model is proposed. Velocity dependence is directly incorporated into an effective mass ($M_{eff}$) which mathematically mimics the weak-field limit of General Relativity without having to solve the full Einstein field equations. The perihelion precession of Mercury is calculated as a demonstration.

Zenodo (CERN European Organization for Nuclear Research)
Quantum and Classical Electrodynamics
DOIOpen Access PDFOpenAlex
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The Perihelion Precession of Mercury via a Heuristic Velocity-Dependent Potential — Siddhartha Manmothe · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS