用相对论引力定律解析计算水星近日点进动及其与广义相对论的比较
Analytical computation of the Mercury perihelion precession via the relativistic gravitational law and comparison with general relativity
摘要：
让$r(φ)$表示水星的轨道。我们比较了通过广义相对论获得的$r(φ)$和相应的近日点进动角$Δφ$的公式，通过相对论引力定律，$F=GMmγ^6/r^2$获得的公式。后一个定律可以从牛顿引力定律推导出来，通过使用太阳和水星的引力而不是静止质量。值得注意的是，发现$r(φ)$的主导部分的两个表达式是相同的，并且$Δφ$的两个表达式也是相同的。
英文摘要：
Let $r(φ)$ denote the orbit of Mercury. We compare the formulae obtained via general relativity for $r(φ)$ and for the corresponding perihelion precession angle $Δφ$, with the formulae obtained via the relativistic gravitational law, $F=GMmγ^6/r^2$. The latter law can be derived from Newton's gravitational law by employing the gravitational rather than the rest masses of the Sun and Mercury. Remarkably, it is found that the two expressions for the dominant part of $r(φ)$ are identical and that the two expressions for $Δφ$ are also identical.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
