Transit Timing Observations from Kepler: III. Confirmation of 4 Multiple Planet Systems by a Fourier-Domain Study of Anti-correlated Transit Timing Variations
Jason H. Steffen (1), Daniel C. Fabrycky (2,3), Eric B. Ford (4),, Joshua A. Carter (5,3), Jean-Michel Desert (5), Francois Fressin (5), Matthew, J. Holman (5), Jack J. Lissauer (6), Althea V. Moorhead (1), Jason F. Rowe, (7,6), Darin Ragozzine (5), William F. Welsh (8)

TL;DR
This paper introduces a Fourier-Domain method to confirm multi-planet systems by analyzing anti-correlated transit timing variations, leading to the discovery of four new planetary systems with multiple planets.
Contribution
The study presents a novel Fourier-Domain analysis technique for confirming exoplanets in multi-planet systems based on transit timing variations.
Findings
Confirmed four multi-planet systems with eight planets and one candidate
Demonstrated the effectiveness of Fourier analysis in detecting anti-correlated TTVs
Provided dynamical stability constraints supporting planetary confirmations
Abstract
We present a method to confirm the planetary nature of objects in systems with multiple transiting exoplanet candidates. This method involves a Fourier-Domain analysis of the deviations in the transit times from a constant period that result from dynamical interactions within the system. The combination of observed anti-correlations in the transit times and mass constraints from dynamical stability allow us to claim the discovery of four planetary systems Kepler-25, Kepler-26, Kepler-27, and Kepler-28, containing eight planets and one additional planet candidate.
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