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     Kepler KOI-1078 (Kepler-267; KIC-10166274) 4-(or more?)-Planet System

Discussion:
A sinusoidal curve-fit of the [(O-C) vs. Time] data for KOI-1078.03 (Kepler-267d) showed (Figure below) a periodicity (P_ttv) of 332.78 ± 8.52 days; a Lomb-Scargle Periodogram (LSP) of the same data gave a low-credibility periodicity of 334.39 days.  Potentially, a 4th non-transiting planet is gravitationally interacting with KOI-1078.03 in this stellar system.

TTVs are derived from Q1-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-1078.03, P = 28.46 days [Plot avg. error bars = ± 7.26 min.]
TTV_maximum: 185.05 ± 22.39 days, Amp_ttv_maximum: 9.98 ± 4.30 min.
TTV_minimum: 351.43 ± 23.66 days, Amp_ttv_minimum: -18.32 ± 4.30 min.
TTV_maximum: 517.82 ± 25.59 days, Amp_ttv_maximum: 9.98 ± 4.30 min.
TTV_minimum: 684.21 ± 28.03 days, Amp_ttv_minimum: -18.32 ± 4.30 min.
TTV_maximum: 850.60 ± 30.87 days, Amp_ttv_maximum: 9.98 ± 4.30 min.
TTV_minimum: 1016.99 ± 34.00 days, Amp_ttv_minimum: -18.32 ± 4.30 min.
TTV_maximum: 1183.37 ± 37.36 days, Amp_ttv_maximum: 9.98 ± 4.30 min.
TTV_minimum: 1349.76 ± 40.89 days, Amp_ttv_minimum: -18.32 ± 4.30 min.
TTV_maximum: 1516.15 ± 44.55 days, Amp_ttv_maximum: 9.98 ± 4.30 min.
P_ttv: 332.78 ± 8.52 days.
Amp_ttv: 28.29 ± 6.09 minutes.
Lomb-Scargle periodogram, candidate P_ttv: 334.39 days; Power: 4.83; FAP: 0.122.
Linear ephemeris (this work): Tc = [28.46452808](Tc#) + [91.04180886]


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

26 May 2015