Astronomers are utilizing the Kepler space telescope to observe a point in space 4.2 light years away, despite its limited resolution of 0.1 arcseconds. The presence of distant planets is inferred through stellar light curves, where the light intensity from a star dips as a planet transits in front of it. Additionally, the Doppler shift method detects the wobble of stars caused by orbiting planets, allowing for the estimation of a planet's mass and orbital radius. Concerns were raised about the potential number of planets that may be missed due to non-transiting orbits. The discussion highlights the challenges and advancements in exoplanet observation techniques.