标题： 通过S2、S38和S55恒星的施瓦茨希尔德进动估计混合巴拿马引力模型的参数：整体质量分布的情况 显示英文标题

标题： Estimating the parameters of Hybrid Palatini gravity model with the Schwarzschild precession of S2, S38 and S55 stars: case of bulk mass distribution

摘要： 我们通过S星的施瓦茨希尔德进动来估计混合Palatini引力模型的参数，特别是S2、S38和S55星。我们也考虑了银河系中心附近整体质量分布的情况。我们假设提到的S星的施瓦茨希尔德轨道进动在所有研究情况下都与广义相对论（GR）中的相同。2020年，GRAVITY合作组织检测到了S2星围绕银河系中心超大质量黑洞（SMBH）的轨道进动，并表明它接近GR的预测。对S38和S55轨道的天文数据分析表明，在这些情况下轨道进动也接近GR的预测。基于这一观测事实，我们通过S2、S38和S55星的施瓦茨希尔德进动评估了混合Palatini引力模型的参数，并估算了混合Palatini引力模型的参数范围，使得所有三颗星的轨道进动都类似于GR。我们还评估了在扩展物质不同体密度分布情况下的混合Palatini引力模型的参数。我们认为所提出的方法是评估银河系中心引力势参数的有用工具。 显示英文摘要

摘要： We estimate the parameters of Hybrid Palatini gravity model with the Schwarzschild precession of S-stars, specifically of S2, S38 and S55 stars. We also take into account case of bulk mass distribution near Galactic Center. We assume that the Schwarzschild orbital precession of mentioned S-stars is the same like in General Relativity (GR) in all studied cases. In 2020 the GRAVITY Collaboration detected the orbital precession of the S2 star around the supermassive black hole (SMBH) at the Galactic Center and showed that it is close to the GR prediction. The astronomical data analysis of S38 and S55 orbits showed that also in these cases orbital precession is close to the GR prediction. Based on this observational fact, we evaluated parameters of the Hybrid Palatini Gravity model with the Schwarzschild precession of the S2, S38 and S55 stars and we estimated the range of parameters of Hybrid Palatini gravity model for which the orbital precession is like in GR for all tree stars. We also evaluated parameters of the Hybrid Palatini Gravity model in case of different values of bulk mass density distribution of extended matter. We believe that proposed method is a useful tool to evaluate parameters of the gravitational potential at the Galactic Center.