Predictive models of the RV requirement to detect transiting planet masses or, how long does it take to detect all of the TESS planets?

With the launch of NASA's Transiting Exoplanet Survey Satellite this past Spring, thousands of nearby transiting planets will be discovered. Almost immediately, dozens of ground-based precision radial velocity spectrographs will begin to characterize the masses of many of these planets. The efficient RV characterization of a large number of TESS planets will benefit from a-priori knowledge of the number of RV observations required to measure the mass of any TESS planet with a particular spectrograph. I will present a pair of models that can be used to predict this RV observational requirement given parameters of the transiting planet, its host star, the employed spectrograph, and depending on whether the RV noise is assumed to be temporally uncorrelated or otherwise. The application of these models to the expected TESS planet yield reveals the total observing time to characterize individual TESS planet masses as well as the time required to complete various science goals of interest including the TESS level one science requirement of characterizing 50 planets smaller than 4 Earth radii. Our web-based calculator based on these models will be presented and demonstrated to inform potential users of its versatility and applicability to their science goals that stem from the measurement of precise RV masses of transiting planets. The results of such calculations are intended to help guide efficient campaigns of TESS RV follow-up, particularly campaigns that are already in place for existing and up-coming precision RV spectrographs.

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