The Kepler mission, led by Professor Thomas Madigan, aims to identify Earth-like exoplanets within the habitable zones of sun-like stars using the transit method and extensive data sampling. The mission's goals include investigating the configuration of planetary systems, estimating the frequency of terrestrial planets, and characterizing their sizes, shapes, and densities. Key findings include the discovery of Kepler-22b, a super-Earth, and the Tatooine-like system Kepler-16.