Eight Planets in Four Multi-planet Systems via Transit Timing Variations in 1350 Days
Ming Yang, Hui-Gen Liu, Hui Zhang, Ji-Lin Zhou

TL;DR
This study confirms eight new exoplanets in four multi-planet systems using transit timing variations from Kepler data, notably including the longest-period planet near a first-order resonance.
Contribution
It introduces an improved method for analyzing long-period TTVs, enabling confirmation of planets with periods over 35 days near mean-motion resonances.
Findings
Confirmed 8 planets in 4 multi-planet systems via TTV analysis.
Identified the longest-period planet near a first-order MMR to date.
Demonstrated effectiveness of the improved TTV method for long-period planets.
Abstract
Analysis of the transit timing variations (TTVs) of candidate pairs near mean-motion resonances (MMRs) is an effective method to confirm planets. Hitherto, 68 planets in 34 multi-planet systems have been confirmed via TTVs. We analyze the TTVs of all candidates from the most recent Kepler data with a time span as long as about 1350 days (Q0-Q15). The anti-correlations of TTV signals and the mass upper limits of candidate pairs in the same system are calculated, using an improved method suitable for long-period TTVs. If the false alarm probability (FAP) of a candidate pair is less than 10^{-3} and the mass upper limit for each candidate is less than 13 M_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,…
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