2019/08/15 by Zixin Yang, Adam K. Leibovich · 1 citation
Mathematics · Physics and Astronomy · #Adiabatic process #Angular momentum #Binary number #Classical mechanics #Cosmology and Gravitation Theories #Gamma-ray bursts and supernovae #Mathematical physics #Mathematics #Orbit (dynamics) #Physics #Precession #Pulsars and Gravitational Waves Research #Quantum mechanics #Renormalization group #Spin (aerodynamics) #gr-qc
paper · pdf · doi:10.1103/physrevd.100.084021
published as Phys. Rev. D 100, 084021 (2019) · 23 pages, 4 figures
arxiv created 2019/08/15 · openalex created_date 2019/08/22 · openalex publication_date 2019/10/11 · arxiv updated 2019/10/16 · openalex updated_date 2026/08/05
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 2.5 PN 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.