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The EFT approach to the binary inspiral problem is a Lagrangian formalism of non-relativistic general relativity within the PN expansion. Calculated using the field theory language of Feynman rules and Feynman diagrams, the EFT approach considerably simplifies the calculations and presents a physical understanding in the picture of the interactions of potential gravitons and radiation gravitons. Currently, the binary dynamics has been calculated up to 4PN for non-spinning systems and extended to spin effects by the EFT approach for both conservative and radiative systems.