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Gravitational waves (GWs) from binary neutron stars (NSs) have opened uniqueopportunities to constrain the nuclear equation of state by measuring tidaleffects associated with the excitation of characteristic modes of the NSs. Thisincludes gravitomagnetic modes associated with the Coriolis effect, whosefrequencies are proportional to the NS's spin frequency, and for which the spinorientation determines the subclass of modes that are predominantly excited. Weadvance the GW models for these effects that are needed for data analysis byfirst developing a description for the adiabatic signatures fromgravitomagnetic modes in slowly rotating NSs. We show that they can beencapsulated in an effective Love number which differs before and after a moderesonance. Combining this with a known generic model for abrupt changes in theGWs at the mode resonance and a point-mass baseline leads to an efficientdescription which we use to perform case studies of the impacts ofgravitomagnetic effects for measurements with Cosmic Explorer, an envisionednext-generation GW detector. We quantify the extent to which neglecting(including) the effect of gravitomagnetic modes induces biases (significantlyreduces statistical errors) in the measured tidal deformability parameters,which depend on the equation of state. Our results substantiate the importanceof dynamical gravitomagnetic tidal effects for measurements with thirdgeneration detectors.

Effect of dynamical gravitomagnetic tides on measurability of tidal parameters for binary neutron stars using gravitational waves