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We calculate the real-space trajectory and spin precession of a genericspinning compact binary inspiral at any time instant using the dynamicalrenormalization group formalism. This method leads to closed-form analyticsolutions to the binary motion through treating radiation reaction asperturbations and resumming the secular growth of perturbative terms. Weconsider the spin-orbit effects at leading order and the 2.5PN radiationreaction without orbit averaging or precession averaging for arbitraryindividual masses and spin magnitudes and orientations. The solutions arewritten in a moving reference frame, with the orbital angular momentum andbinary radial directions aligned along two of the axes. The resummed solutionsshow improved accuracy compared to adiabatic solutions while also being anorder of magnitude faster computationally compared to numerical integrationmethods.

Analytic Solutions to Compact Binary Inspirals With Leading Order Spin-Orbit Contribution Using The Dynamical Renormalization Group