Parameter Estimation of Tidally-Deformed White Dwarf Binaries with LISA

The LISA mission, currently planned to launch in 2034, will introduce exceptional observation capabilities in the millihertz regime of the gravitational wave spectrum. Galactic compact binaries, including white dwarf binaries, are a primary science target of the mission. At least one well-established verification binary has been categorized as tidally deformed by electromagnetic observations. We investigate the capability of GW observations to measure the tidal effects, as well as other relevant parameters, in tidally deformed systems. To do so, we employ Fisher analysis to estimate the parameter uncertainties for a given waveform. We review time domain Fisher analysis, which previous authors have applied to such binaries, and introduce a frequency domain Fisher calculation.