We calculate the potential contributions of the motion of binary mass systems in gravity to the fifth post–Newtonian order ab initio using coupling and velocity expansions within an effective field theory approach based on Feynman amplitudes starting with harmonic coordinates and using dimensional regularization. Furthermore, the singular and logarithmic tail contributions are calculated. We also consider the non–local tail contributions. Further steps towards the complete calculation are discussed. We calculate all but the rational $O({\nu }^2)$ contributions to the bound state energy for circular motion and periastron advance $K(\hat{E},j)$. Comparisons are given to results in the literature.

我们在有效场论方法（基于基于谐波坐标的费曼振幅开始并使用尺寸正则化）的有效场论方法中，使用耦合和速度展开，计算了重力作用下二元质量系统运动对第五个后牛顿阶从头算起的潜在贡献。此外，计算了奇异和对数尾部贡献。我们还考虑了非本地尾部贡献。讨论了进一步计算的进一步步骤。我们计算除了理性之外的所有东西$Ø（{\nu }^{\mathrm{2个}}）$ 对圆周运动和圆周运动的束缚态能量的贡献 $ķ（\hat{E}，Ĵ）$。对文献中的结果进行了比较。