Planets orbiting other stars can be detected from the shadows they cast as they pass in front of their stellar disk each orbit, but only if their orbital plane aligns with our viewpoint by chance. The Kepler spacecraft mission has discovered thousands of candidate planets by simply staring at more than one hundred thousand stars for four years, and has revealed a new class of planet with sizes between the Earth and the ice giants. This talk will describe the techniques for discovering planets within the Kepler data, and a new approach for finding dynamically interacting planets that can be missed without accounting for their interactions. The planets can have their masses and radii measured, in some cases by only using data from the Kepler spacecraft, which is beginning to shape our understanding of how these planetary systems formed.
