Yang Ming, Liu Hui-Gen, Zhang Hui, Zhou Ji-Lin
Analysis of the transit timing variations (TTVs) of candidate pairs near mean-motion resonances (MMRs) is an effective method to confirm planets. Hitherto, 66 planets in 33 multi-planet systems have been confirmed via TTVs. We analyse the TTVs of all candidates from the most recent {\it{Kepler}} data with a time span as long as about 1350 days (Q0-Q15). The anti-correlations and mass upper limits of candidate pairs in the same system are calculated, using an improved method suitable for long-period TTVs. If the flase alarm probabality (FAP) of a candidate pair is less than $10^{-3}$ and the mass upper limit for each candidate is less than 13 $M_{\rm J}$, we confirm them as planets in the same system. Finally, 8 planets in 4 multi-planet systems are confirmed via analysis of their TTVs. All of the 4 planet pairs are near first-order MMRs, including KOI-2672 near 2:1 MMR, KOI-1236, KOI-1563 and KOI-2038 near 3:2 MMR. Four planets have relatively long periods ($>$ 35 day). KOI-2672.01 has a period of 88.51658 day and a mass upper limit about $17.086 M_\oplus$. It is the second longest periodical planet confirmed via TTVs.
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http://arxiv.org/abs/1308.0996
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