论文标题
在2pn的围角序中，相对论的一般理论以及最近发现的sgr a $^as ast $中的快速旋转的S-Star
On the 2PN pericentre precession in the general theory of relativity and the recently discovered fast orbiting S-stars in Sgr A$^\ast$
论文作者
论文摘要
最近，本文作者分析了世俗的周期序列，以示意性的开普勒轨道元素的形式计算出与高斯方程式的第二个牛顿（2pn）订单，以便与潜在利益的天文学和天文学风景紧密接触。发现了其他作者以前结果的差异。此外，同一作者的一些此类发现被认为是互不一致的。在本文中，证明实际上两个计算错误困扰了本作者的最新计算。他们被明确披露和纠正。结果，一旦对所采用的参数化进行了适当的转换，所有检查的方法相互同意，共同同意总2pn的2pn Percentre prepession。还表明，将来，至少在原则上，对于最近发现的SGR A $^\ ast $中的一些短期S-Stars，例如S62和S4714，它可能会变得可衡量。
Recently, the secular pericentre precession was analytically computed to the second post-Newtonian (2PN) order by the present author with the Gauss equations in terms of the osculating Keplerian orbital elements in order to obtain closer contact with the observations in astronomical and astrophysical scenarios of potential interest. A discrepancy with previous results by other authors was found. Moreover, some of such findings by the same authors were deemed as mutually inconsistent. In this paper, it is demonstrated that, in fact, two calculational errors plagued the most recent calculation by the present author. They are explicitly disclosed and corrected. As a result, all the examined approaches mutually agree yielding the same analytical expression for the total 2PN pericentre precession once the appropriate conversions from the adopted parameterizations are made. It is also shown that, in future, it may become measurable, at least in principle, for some of the recently discovered short-period S-stars in Sgr A$^\ast$ like S62 and S4714.
