Kepler KOI-3678 (KIC-4150804) 2-(or more?)-Planet System

TTV Evidence:
The presence of both a credible periodicity in the Lomb-Scargle Periodogram (LSP) and a corresponding pronounced one (P_ttv) in a sinusoidal distribution of [(O-C) vs. Time] ("TTVxy") data points is strongly suggestive of the presence of a second (possibly unseen, non-transiting) gravitationally-perturbing planetary object in a system.  This is the case for KOI-3678.01.

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TTVs are derived from Q0-Q17 Kepler data.  x-axes: “Observed Tc” (Mid-Transit Time): EXOFAST’s best-fits from Normalized PDCSAP_FLUX Kepler light flux vs. time (BJD_tdb - 2454900) data.  y-axes: “(O-C)”: difference between Observed Tc and the Calculated Tc from the graphically obtained linear ephemeris.

Figure: KOI-3678.01, P = 160.89 days [Plot avg. error bars = ± 0.86 min.]
TTV_minimum: 322.78 ± 5.25 days, Amp_ttv_minimum: -6.80 ± 0.39 min.
TTV_maximum: 520.75 ± 5.74 days, Amp_ttv_maximum: 9.91 ± 0.39 min.
TTV_minimum: 718.73 ± 6.40 days, Amp_ttv_minimum: -6.80 ± 0.39 min.
TTV_maximum: 916.70 ± 7.18 days, Amp_ttv_maximum: 9.91 ± 0.39 min.
TTV_minimum: 1114.67 ± 8.05 days, Amp_ttv_minimum: -6.80 ± 0.39 min.
TTV_maximum: 1312.64 ± 8.97 days, Amp_ttv_maximum: 9.91 ± 0.39 min.
P_ttv: 395.95 ± 2.26 days.
Amp_ttv: 16.71 ± 0.55 minutes.
Lomb-Scargle periodogram, periodicity (P_ttv): 392.58 days; Power: 3.23; FAP: 0.00324.
Linear ephemeris (this work): Tc = [160.88462636 ± 0.00060186](Tc#) + [210.50755032 ± 0.00300928]


Numerous literature and major Tc#, Tc, and TTV tabulation references can be found on my "Summary" webpage following the table.

18 Nov 2014