  We calculate the real-space trajectory and spin precession of a generic
spinning compact binary inspiral at any time instant using the dynamical
renormalization group formalism. This method leads to closed-form analytic
solutions to the binary motion through treating radiation reaction as
perturbations and resumming the secular growth of perturbative terms. We
consider the spin-orbit effects at leading order and the 2.5PN radiation
reaction without orbit averaging or precession averaging for arbitrary
individual masses and spin magnitudes and orientations. The solutions are
written in a moving reference frame, with the orbital angular momentum and
binary radial directions aligned along two of the axes. The resummed solutions
show improved accuracy compared to adiabatic solutions while also being an
order of magnitude faster computationally compared to numerical integration
methods.
