The Roche-Lobe Radius in Newtonian and Non-Newtonian Gravity
A. M. Velasquez-Toribio
astro-ph.GA
Submitted: 2026-08-05
Comments: Accepted for publication in Astrophysics and Space Science
Journal ref: Astrophysics and Space Science (2026) 371:76
DOI: 10.1007/s10509-026-04611-2
License: http://creativecommons.org/licenses/by/4.0/
The gist: In this paper, we extend the standard calculation of the Roche lobe from the Newtonian potential to non-Newtonian models, specifically Yukawa-type and power-law potentials.
Terminology
Abstract
In this paper, we extend the standard calculation of the Roche lobe from the Newtonian potential to non-Newtonian models, specifically Yukawa-type and power-law potentials. These models are significant because they arise from unification theories, such as those involving extra dimensions or scalar-tensor gravity. Furthermore, we develop fitting formulas for the equivalent volume radius R L under these potentials, analogous to Eggleton s formula for the Newtonian case. We calibrate the fitting formulas of the non-Newtonian potentials with their corresponding numerical solutions.
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