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May 18, 2022 at 8:09 comment added TimRias A side note about internal structure being higher order. While it is true that these terms come in only at 5PN order, their coefficients tend to scale with $R^5/(GM)^5$ where R is the size of the object. So these terms may become relevant well before on would naively expect based on the PN order alone!
May 17, 2022 at 14:45 comment added Andrew @JiaxiangZhu Yes, indeed. It is actually a very difficult thing to measure (but also very interesting if you can measure it!). There's some information in the following paper: arxiv.org/abs/1805.11581
May 17, 2022 at 14:26 comment added Jiaxiang Zhu Thanks! So treating the binary neutron stars as two mass point is indeed a good approximation for the early stage of merge. The point of view that the internal structure is a higher order is really new and interesting to me.
May 17, 2022 at 14:15 history answered Andrew CC BY-SA 4.0