  We examine the ability of the Transiting Exoplanet Survey Satellite (TESS) to
detect and improve our understanding of planetary systems in the Kepler field.
By modeling the expected transits of all confirmed and candidate planets
detected by Kepler as expected to be observed by TESS, we find that TESS has a
greater than 50% chance of detecting 260 of these planets at the 3 sigma level
in one sector of observations and an additional 120 planets in two sectors.
Most of these are large planets in short orbits around their host stars,
although a small number of rocky planets are expected to be recovered. Most of
these systems have only one known transiting planet; in only ~5 percent of
known multiply-transiting systems do we anticipate more than one planet to be
recovered. When these planets are recovered, we expect TESS to be a powerful
tool to characterizing transit timing variations. Using Kepler-88 (KOI-142) as
an example, we show that TESS will improve measurements of planet-star mass
ratios and orbital parameters, and significantly reduce the transit timing
uncertainty in future years. Since TESS will be most sensitive to hot Jupiters,
we research whether TESS will be able to detect tidal orbital decay in these
systems. We find two confirmed planetary systems (Kepler-2 b and Kepler-13 b)
and five candidate systems that will be good candidates to detect tidal decay.
