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    Pulsar timing array correlation functions induced by peculiar velocities

    Neha Anil Kumar*, Keisuke Inomata†, and Marc Kamionkowski‡

    • William H. Miller III Department of Physics and Astronomy, Johns Hopkins University, 3400 North Charles Street, Baltimore, Maryland 21218, USA

    • *Contact author: nanilku1@jhu.edu
    • †Contact author: inomata@jhu.edu
    • ‡Contact author: kamion@jhu.edu

    Phys. Rev. D 114, 063518 – Published 9 September, 2026

    DOI: https://doi.org/10.1103/qvc8-45nd

    Abstract

    Several papers have recently calculated the contribution to pulsar timing array overlap reduction functions (ORFs) induced by our peculiar velocity with respect to the rest frame of the stochastic gravitational-wave background. Here we show that a harmonic-space calculation confirms the most recent result. We note that, with the harmonic-space calculation, the ORFs for spin-1 GWs and the correlations with astrometry measurements are also easily obtained.

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