Targeted search for the kinematic dipole of the gravitational-wave background

There is growing interest in using current and future gravitational-wave interferometers to search for anisotropies the background. One guaranteed anisotropic signal kinematic dipole induced by our peculiar motion with respect cosmic rest frame, as measured other full-sky observables such microwave Our prior knowledge of amplitude direction this not explicitly accounted existing searches LIGO/Virgo/KAGRA but could provide crucial information help disentangle sources which contribute Here, we develop a targeted pipeline uses enable unbiased minimum-variance inference magnitude. generalizes methods allow time-dependent model, captures annual modulation due Earth's orbit. We validate on mock data, demonstrating that neglecting time dependence can bias inferred much $\mathcal{O}(10%)$. then run analysis full LIGO/Virgo $\mathrm{O}1+\mathrm{O}2+\mathrm{O}3$ dataset, obtaining upper limits are consistent results.