Gravitational waves from compact binaries to the fourth post-Newtonian order

Understand

The precise knowledge of the gravitational phase evolution of compact binaries is crucial to the data analysis for gravitational waves.

• Until recently, it was known analytically (for non-spinning systems) up to the 3.5 post-Newtonian (PN) order, i.e.
• up to the $(v/c)^7$ correction beyond the leading order quadrupole formula.
• Using a PN-multipolar-post-Minkowskian algorithm, we have pushed the accuracy to the next 4PN level.