S2-like星轨道进动对$R^n$引力的约束：质量整体分布的一个例子
Constraints on $R^n$ gravity from precession of orbits of S2-like stars: a case of a bulk distribution of mass
摘要：
在这里，我们调查可能的应用程序的观测恒星轨道围绕银河系中心的约束R $^n$引力在银河系尺度。为此，我们模拟了类S2恒星围绕银河系中心大质量黑洞的轨道，并研究了当前和下一代大型望远镜对R $^n$引力的限制。结果表明，R $^n$引力对模拟轨道的影响与牛顿引力中物质（包括星团和暗物质分布）的整体分布在性质上类似.在扩展质量密度较高的情况下，由于扩展质量和$R^n$引力共同引起轨道逆行，R $^n$引力中参数$β$的最大允许值明显较小。
英文摘要：
Here we investigate possible applications of observed stellar orbits around Galactic Center for constraining the R$^n$ gravity at Galactic scales. For that purpose, we simulated orbits of S2-like stars around the massive black hole at Galactic Center, and study the constraints on the R$^n$ gravity which could be obtained by the present and next generations of large telescopes. Our results show that R$^n$ gravity affects the simulated orbits in the qualitatively similar way as a bulk distribution of matter (including a stellar cluster and dark matter distributions) in Newton's gravity. In the cases where the density of extended mass is higher, the maximum allowed value of parameter $β$ in R$^n$ gravity is noticeably smaller, due to the fact that the both extended mass and $R^n$ gravity cause the retrograde orbital precession.
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