I used data from K2 to confirm the existence of TRAPPIST-1h, determine its orbital period, measure the rotation period of the star, and establish that all seven planets in TRAPPIST-1 are in the most complex known chain of three-body Laplace resonances. Check out the links above for the code and the paper.

Figure 1 Long cadence light curve of TRAPPIST-1 observed by K2, before (top) and after (bottom) de-trending with my everest software. The photometric precision afforded by everest made it possible to detect planet h, the smallest and farthest out planet in the TRAPPIST-1 system.

Figure 2 Short cadence light curve of TRAPPIST-1 observed by K2, de-trended with everest and folded on the period of planet h. The orange line shows the binned data and the red line shows the transit model obtained from the single Spitzer observation prior to the K2 measurements; the agreement is excellent.