The Roche-Lobe Radius in Newtonian and Non-Newtonian Gravity

2026/08/05 by A. M. Velasquez-Toribio
Physics and Astronomy · #astro-ph.GA

paper · pdf · doi:10.1007/s10509-026-04611-2

published as Astrophysics and Space Science (2026) 371:76 · Accepted for publication in Astrophysics and Space Science

arxiv created 2026/08/05 · arxiv updated 2026/08/07

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.

Citations

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• Anthropic prediction in a large toy landscape
• Roche lobe shapes for testing MOND-like modified gravities
• Roche Lobe Sizes in Deep-MOND Gravity
• Torsion balance experiments: A low-energy frontier of particle physics
• Evolutionary Processes in Close Binary Systems