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<p>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 (<InlineEquation ID="IEq1"> <EquationSource Format="MATHML"><math> <msub> <mi>R</mi> <mi>L</mi> </msub> </math></EquationSource> <EquationSource Format="TEX">$R_{L}$</EquationSource> </InlineEquation>) 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.</p>

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The Roche-lobe radius in Newtonian and non-Newtonian gravity

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年7月28日

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  • A. M. Velásquez-Toribio

摘要

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 $R_{L}$ ) 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.