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March 27, 20260 citationsOpen Access

Simple Gravity III: Orbital Dynamics and Partial Perihelion Shift

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EREdnilson Rodrigues

Key Points

  • The study aims to refine the dynamical description of orbital mechanics in the Simple Gravity framework.
  • Developed a Newtonian-type equation of motion.
  • Utilized a nonlinear scalar field for analysis of orbital dynamics.
  • Calculated perihelion precession values.
  • Produced a perihelion precession value of one-sixth of the relativistic prediction.
  • Identified a need for a more precise dynamical model.

Abstract

This work develops the dynamical sector of the Simple Gravity framework using a Newtonian-type equation of motion in the nonlinear scalar field. The resulting orbital dynamics naturally produce perihelion precession, yielding a value equal to one-sixth of the relativistic prediction. This identifies the need for a refined dynamical description. This is the third paper in the Simple Gravity series.

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Cite This Study

Ednilson Rodrigues (2026) studied this question.

synapsesocial.com/papers/69c61fa915a0a509bde1825ehttps://doi.org/10.5281/zenodo.19210753
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