How to find a planet from transit variations

Here we describe the story behind the discovery of Kepler-46, which was the first exoplanetary system detected and characterized from a method known as the transit timing variations (TTVs). The TTV method relies on the gravitational interaction between planets orbiting the same star. If transits of at least one of the planets are detected, precise measurements of its transit times can be used, at least in principle, to detect and characterize other non-transiting planets in the system. Kepler-46 was the first case for which this method was shown to work in practice. Other detections and characterizations followed (e.g., Kepler-88). The TTV method plays an important role in addressing the incompleteness of planetary systems detected from transits.