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    Post-Newtonian dynamics of compact binaries with mass transfer

    Zi-Han Zhang1,2,*, Tan Liu3,4,†, and Zong-Kuan Guo3,4,5,‡

    • *Contact author: zhangzihan242@mails.ucas.ac.cn
    • †Contact author: lewton@mail.ustc.edu.cn
    • ‡Contact author: guozk@itp.ac.cn

    Phys. Rev. D 112, 064083 – Published 29 September, 2025

    DOI: https://doi.org/10.1103/qhf1-v5jr

    Abstract

    Taking into account the mass transfer effect, we derive the equations of motion of a compact binary system at the second-half post-Newtonian order. Applying such equations of motion to quasicircular orbits, we obtain the time derivative of the orbital frequency, which is consistent with the angular momentum balance equation. Numerical estimates of the phase of gravitational waves are provided for typical mass transfer rates. Our result can be used to improve the waveforms of gravitational waves emitted by compact binaries with mass transfer.

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