We combine kinematic and gravitational lensing data to construct the Radial Acceleration Relation (RAR) of galaxies over a large dynamic range. We improve on previous weak-lensing studies in two ways. First, we compute stellar masses using the same stellar population model as for the kinematic data. Second, we introduce a new method for converting excess surface density profiles to radial accelerations. This method is based on a new deprojection formula which is exact, computationally efficient, and gives smaller systematic uncertainties than previous methods. We find that the RAR inferred from weak-lensing data smoothly continues that inferred from kinematic data by about 2.5 dex in acceleration. Contrary to previous studies, we find that early- and late-type galaxies lie on the same joint RAR when a sufficiently strict isolation criterion is adopted and their stellar and gas masses are estimated consistently with the kinematic RAR.

中文翻译：

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具有联合运动学和弱透镜数据的星系径向加速度关系

我们结合运动学和引力透镜数据来构建大动态范围内星系的径向加速度关系（RAR）。我们通过两种方式改进了之前的弱透镜研究。首先，我们使用与运动学数据相同的恒星种群模型来计算恒星质量。其次，我们引入了一种将多余表面密度分布转换为径向加速度的新方法。该方法基于新的反投影公式，该公式精确、计算高效，并且比以前的方法给出更小的系统不确定性。我们发现从弱透镜数据推断出的 RAR 与从运动学数据推断出的 RAR 平滑地延续了大约 2.5 dex 的加速度。与之前的研究相反，我们发现，当采用足够严格的隔离标准并且其恒星和气体质量与运动学 RAR 一致估计时，早型和晚型星系位于同一联合 RAR 上。