A change in the timing of a planet's transit caused by gravitational interactions with other bodies.Transit timing variation (TTV) is a subtle but powerful observational technique in exoplanet science. When a planet transits its host star, the exact time of the transit can be measured with high precision. If another planet in the system gravitationally perturbs the transiting planet, the transit times shift slightly — earlier or later than a strictly periodic schedule. These variations, often of minutes to hours, encode information about the masses and orbits of the perturbing bodies, even if those bodies never transit themselves.
The first detection of TTVs was reported in 2010 for the system Kepler-9, using data from the Kepler space telescope. The theoretical framework was developed earlier, notably by Agol et al. and Holman & Murray in 2005.
The gravitational interaction between planets causes their orbits to deviate from perfect Keplerian ellipses. The transiting planet's orbital period and phase change over time, leading to a cumulative shift in transit times. By modeling these TTVs, astronomers can infer the mass and orbital parameters of the unseen perturber. The effect is most pronounced when the planets are in or near mean-motion resonances, where the gravitational tug is amplified.
TTV is used to discover and characterize exoplanets in multi-planet systems, especially low-mass planets that are hard to detect via radial velocity. It has also been used to measure the masses of planets in resonant chains like TRAPPIST-1.
TTV can sometimes reveal the presence of a planet that never transits, acting as a 'gravitational fingerprint' of an invisible world.




