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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-4764.01, P = 31.42 days [Plot avg. error bars = ± 15.45 min.]
TTV_minimum: 357.82 ± 83.54 days, Amp_ttv_minimum: -41.07 ± 14.71 min.
TTV_maximum: 851.88 ± 109.33 days, Amp_ttv_maximum: 60.98 ± 14.71 min.
TTV_minimum: 1345.93 ± 144.88 days, Amp_ttv_minimum: -41.07 ± 14.71 min.
P_ttv: 988.12 ± 90.15 days.
Amp_ttv: 102.05 ± 20.81 minutes.
Lomb-Scargle periodogram, candidate P_ttv: 1006.85 days; Power: 6.02; FAP: 0.0175.
Linear ephemeris (this work): Tc = 31.41972572(Tc#) + 65.76397970


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-4764.01 (KIC-6043562) 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.