Transit Timing Observations from Kepler: II. Confirmation of Two Multiplanet Systems via a Non-parametric Correlation Analysis
Creators: name: Ford, Eric B.
name: Fabrycky, Daniel C.
name: Steffen, Jason H.
name: Carter, Joshua A.
name: Fressin, Francois
name: Holman, Matthew J.
name: Lissauer, Jack J.
name: Moorhead, Althea V.
name: Morehead, Robert C.
name: Ragozzine, Darin
name: Rowe, Jason F.
name: Welsh, William F.
name: Allen, Christopher
name: Batalha, Natalie M.
name: Borucki, William J.
name: Bryson, Stephen T.
name: Buchhave, Lars A.
name: Burke, Christopher J.
name: Caldwell, Douglas A.
name: Charbonneau, David
name: Clarke, Bruce D.
name: Cochran, William D.
name: Désert, Jean-Michel
name: Endl, Michael
name: Everett, Mark E.
name: Fischer, Debra A.
name: Gautier, Thomas N.
name: Gilliland, Ron L.
name: Jenkins, Jon M.
name: Haas, Michael R.
name: Horch, Elliott
name: Howell, Steve B.
name: Ibrahim, Khadeejah A.
name: Isaacson, Howard
name: Koch, David G.
name: Latham, David W.
name: Li, Jie
name: Lucas, Philip
name: MacQueen, Phillip J.
name: Marcy, Geoffrey W.
name: McCauliff, Sean
name: Mullally, Fergal R.
name: Quinn, Samuel N.
name: Quintana, Elisa
name: Shporer, Avi
name: Still, Martin
name: Tenenbaum, Peter
name: Thompson, Susan E.
name: Torres, Guillermo
name: Twicken, Joseph D.
name: Wohler, Bill
Publisher: name: arXiv
Year: 2012
Subjects: subject: Earth and Planetary Astrophysics (astro-ph.EP)
subject: FOS: Physical sciences
subject: FOS: Physical sciences

description: We present a new method for confirming transiting planets based on the combination of transit timingn variations (TTVs) and dynamical stability. Correlated TTVs provide evidence that the pair of bodies are in the same physical system. Orbital stability provides upper limits for the masses of the transiting companions that are in the planetary regime. This paper describes a non-parametric technique for quantifying the statistical significance of TTVs based on the correlation of two TTV data sets. We apply this method to an analysis of the transit timing variations of two stars with multiple transiting planet candidates identified by Kepler. We confirm four transiting planets in two multiple planet systems based on their TTVs and the constraints imposed by dynamical stability. An additional three candidates in these same systems are not confirmed as planets, but are likely to be validated as real planets once further observations and analyses are possible. If all were confirmed, these systems would be near 4:6:9 and 2:4:6:9 period commensurabilities. Our results demonstrate that TTVs provide a powerful tool for confirming transiting planets, including low-mass planets and planets around faint stars for which Doppler follow-up is not practical with existing facilities. Continued Kepler observations will dramatically improve the constraints on the planet masses and orbits and provide sensitivity for detecting additional non-transiting planets. If Kepler observations were extended to eight years, then a similar analysis could likely confirm systems with multiple closely spaced, small transiting planets in or near the habitable zone of solar-type stars.
description: 23 pages, 8 figures, 4 tables, 1 electronic table, accepted to ApJ