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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 1.: ONLINE Exofast, KOI-5023.01, P = 73.34 days [Plot avg. error bars = ± 1.71 min.]
TTV_maximum: 89.04 ± 19.57 days, Amp_ttv_maximum: 14.61 ± 2.89 min.
TTV_minimum: 281.88 ± 20.48 days, Amp_ttv_minimum: -12.61 ± 2.89 min.
TTV_maximum: 474.73 ± 22.22 days, Amp_ttv_maximum: 14.61 ± 2.89 min.
TTV_minimum: 667.57 ± 24.61 days, Amp_ttv_minimum: -12.61 ± 2.89 min.
TTV_maximum: 860.42 ± 27.48 days, Amp_ttv_maximum: 14.61 ± 2.89 min.
TTV_minimum: 1053.27 ± 30.70 days, Amp_ttv_minimum: -12.61 ± 2.89 min.
TTV_maximum: 1246.11 ± 34.18 days, Amp_ttv_maximum: 14.61 ± 2.89 min.
TTV_minimum: 1438.96 ± 37.83 days, Amp_ttv_minimum: -12.61 ± 2.89 min.
P_ttv: 385.69 ± 8.69 days.
Amp_ttv: 27.22 ± 4.08 minutes.
Lomb-Scargle periodogram, candidate P_ttv: 384.52 days; Power: 5.14; FAP: 0.00355.
Linear ephemeris (this work): Tc = 73.33778014(Tc#) + 69.58845260


Figure 2.: OFFLINE Exofast, KOI-5023.01, P = 73.34 days [Plot avg. error bars = ± 3.35 min.]

TTV_minimum: 291.24 ± 22.86 days, Amp_ttv_minimum: -12.92 ± 4.10 min.
TTV_maximum: 482.15 ± 24.69 days, Amp_ttv_maximum: 19.85 ± 4.10 min.
TTV_minimum: 673.06 ± 27.19 days, Amp_ttv_minimum: -12.92 ± 4.10 min.
TTV_maximum: 863.97 ± 30.20 days, Amp_ttv_maximum: 19.85 ± 4.10 min.
TTV_minimum: 1054.87 ± 33.58 days, Amp_ttv_minimum: -12.92 ± 4.10 min.
TTV_maximum: 1245.78 ± 37.23 days, Amp_ttv_maximum: 19.85 ± 4.10 min.
TTV_minimum: 1436.69 ± 41.07 days, Amp_ttv_minimum: -12.92 ± 4.10 min.
P_ttv: 381.82 ± 9.26 days.
Amp_ttv: 32.78 ± 5.80 minutes.
Lomb-Scargle periodogram, candidate P_ttv: 381.62 days; Power: 3.77; FAP: 0.0689.
Linear ephemeris (this work): Tc = 73.33810110(Tc#) + 69.58453433


Related TTV Tabulations and References:
• For Q0-6 TTV data (thru ~ 563 (BJD-2454900) days), see: Ford et al., 2012, arXiv-1201.1892.
• For Q0-10 TTV data (thru ~ 934 (BJD-2454900) days), see Rowe et al., 2014, arXiv-1402.6534.
• For Q0-12 TTV data (thru ~ 1116 (BJD-2454900) days), see: Mazeh et al., 2013, arXiv-1301.5499.
• For Q0-12 Calc. properties from TTVs, see: Hadden & Lithwick, 2013, arXiv-1310.7942.
• For Q0-14 TTV data, see Ji-Wei Xie's website: http://www.astro.utoronto.ca/~jwxie/TTV/TTV_Home.html
• Two ground-based Kepler-TTV-follow-up programs are in place at the moment:
 --- see: B Gary, "KAFO" project, see: http://brucegary.net/kafo/
 --- see: vonEssen et al., "KOINet", see: http://koinet.astro.physik.uni-goettingen.de/

27 Apr 2014
              Kepler KOI-5023.01 (KIC-3867593) 2-(or more?)-Planet System

TTV Evidence:
The presence of both a credible (i.e.: False Alarm Probability (FAP) < 0.1) periodicity in the Lomb-Scargle Periodogram (LSP) of [(O-C) vs. Time] ("TTVxy") data points, along with a sinusoidal distribution of the same points displaying a corresponding periodicity ("P_ttv") (see Figure(s) below), is strongly suggestive of the presence of an unseen (non-transiting), gravitationally perturbing planetary object in this system.