Linking Velocities and Brightness in Variable Stars: Toward Measuring the Total Mass of the Milky Way Out to 30 kpc

RR Lyrae (RRL) stars are pivotal in astronomy for their consistent variability, making them ideal standard candles – distance measurement tools within the Milky Way's (MW) stellar halo. The RRLs' intrinsic variability complicates the accurate determination of their radial velocities (RVs'). In this presentation, I will introduce RRL, the need to refine their RV measurements and errors, and our work-in-progress creating the largest dataset of RRLs with precise and phase-calibrated rvs. We calibrate rvs of the MW's RRLs using spectroscopic data from the Sloan Digital Sky Survey V (SDSSV), and photometric data from Gaia's 3rd Data Release. As of now, 2,500 RRL are available to work with. Gaia provides comprehensive phase-space data, including detailed magnitude-phase relationships, as a complement to SDSSV's rv measurements. Linking these datasets, we construct a catalog of precise RRL rvs with other intrinsic properties aiding their utility as cosmic distance indicators. Our efforts aim to compile the most extensive and precise dataset of RRL rvs catalog to date, containing 50,000 RRL stars of obtained spectra and precise magnitude measurements in SDSSV. In the future, these precise rv measurements will not only enhance our understanding of the dynamics of the MW but also enable us to probe its mass distribution out to 30 kiloparsecs.