We discuss various aspects of the post-Newtonian approximation in general relativity. After presenting the foundation based on the Newtonian limit, we show a method to derive post-Newtonian equations of motion for relativistic compact binaries based on a surface integral approach and the strong field point particle limit. As an application we derive third post-Newtonian equations of motion for relativistic compact binaries which respect the Lorentz invariance in the post-Newtonian perturbative sense, admit a conserved energy, and are free from any ambiguity.

中文翻译：

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相对论紧致双星的后牛顿近似。

我们讨论广义相对论中后牛顿近似的各个方面。在提出基于牛顿极限的基础之后，我们展示了一种基于表面积分方法和强场点粒子极限推导相对论致密双星的后牛顿运动方程的方法。作为一种应用，我们推导出相对论紧致双星的第三个后牛顿运动方程，该方程尊重后牛顿微扰意义上的洛伦兹不变性，承认能量守恒，并且没有任何歧义。