  The Kepler space telescope was responsible for the discovery of over 2,700
confirmed exoplanets, more than half of the total number of exoplanets known
today. These discoveries took place during both Kepler's primary mission, when
it spent 4 years staring at the same part of the sky, and its extended K2
mission, when a mechanical failure forced it to observe different parts of the
sky along the ecliptic. At the very end of the mission, when Kepler was
exhausting the last of its fuel reserves, it collected a short set of
observations known as K2 Campaign 19. So far, no planets have been discovered
in this dataset because it only yielded about a week of high-quality data.
Here, we report some of the last planet discoveries made by Kepler in the
Campaign 19 dataset. We conducted a visual search of the week of high-quality
Campaign 19 data and identified three possible planet transits. Each planet
candidate was originally identified with only one recorded transit, from which
we were able to estimate the planets' radii and estimate the semimajor axes and
orbital periods. Analysis of lower-quality data collected after low fuel
pressure caused the telescope's pointing precision to suffer revealed
additional transits for two of these candidates, allowing us to statistically
validate them as genuine exoplanets. We also tentatively confirm the transits
of one planet with TESS. These discoveries demonstrate Kepler's exoplanet
detection power, even when it was literally running on fumes.
