AI 中文总结
该研究将洛希瓣计算扩展至 Yukawa 型和幂律势等非牛顿模型，开发等效体积半径 R_L 的拟合公式并通过数值解校准，为相关引力理论研究提供关键工具。
AI 中文摘要
本文将洛希瓣的标准计算从牛顿势扩展到非牛顿模型，具体为 Yukawa 型和幂律势。这些模型源自统一理论（如涉及额外维度或标量-张量引力的理论），具有重要意义。此外，我们针对这些势下的等效体积半径 R_L 开发拟合公式，类似牛顿情形的 Eggleton 公式，并通过对应数值解校准非牛顿势的拟合公式。
英文摘要
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 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.
CommentsAccepted for publication in Astrophysics and Space Science
Journal refAstrophysics and Space Science (2026) 371:76
DOI：10.1007/s10509-026-04611-2
