Steffen, Jason H.Fabrycky, Daniel C.Ford, Eric B.Carter, Joshua A.Désert, Jean-MichelFressin, FrancoisHolman, MatthewLissauer, Jack J.Moorhead, Althea V.Rowe, Jason F.Ragozzine, DarinWelsh, William F.Batalha, Natalie M.Borucki, William J.Buchhave, Lars A.Bryson, SteveCaldwell, Douglas A.Charbonneau, DavidCiardi, David R.Cochran, William D.Endl, MichaelEverett, Mark E.Gautier, Thomas N.Gilliland, Ron L.Girouard, Forrest R.Jenkins, Jon M.Horch, ElliottHowell, Steve B.Isaacson, HowardKlaus, Todd C.Koch, David G.Latham, DavidLi, JieLucas, PhilipMacQueen, Phillip J.Marcy, Geoffrey W.McCauliff, SeanMiddour, Christopher K.Morris, Robert L.Mullally, Fergal R.Quinn, Samuel N.Quintana, Elisa V.Shporer, AviStill, MartinTenenbaum, PeterThompson, Susan E.Twicken, Joseph D.Van Cleve, Jeffery2017-01-172012Steffen, Jason H., Daniel C. Fabrycky, Eric B. Ford, Joshua A. Carter, Jean-Michel Désert, Francois Fressin, Matthew J. Holman, et al. 2012. “Transit Timing Observations from Kepler: III. Confirmation of Four Multiple Planet Systems by a Fourier-Domain Study of Anticorrelated Transit Timing Variations.” Monthly Notices of the Royal Astronomical Society 421 (3) (February 22): 2342–2354. doi:10.1111/j.1365-2966.2012.20467.x.0035-8711http://nrs.harvard.edu/urn-3:HUL.InstRepos:29990199We 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.en-UScelestial mechanicsstars: individual (KIC 4349452, KIC 9757613, KIC 5792202, KIC 6949607)methods: data analysistechniques: photometricTransit timing observations from Kepler: III. Confirmation of four multiple planet systems by a Fourier-domain study of anticorrelated transit timing variationsJournal Article2017-01-1710.1111/j.1365-2966.2012.20467.x