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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 1.: KOI-1598.01, P = 56.48 days [Plot avg. error bars = ± 3.91 min.]
TTV_minimum: 140.13 ± 24.66 days, Amp_ttv_minimum: -8.44 ± 2.60 min.
TTV_maximum: 299.36 ± 25.69 days, Amp_ttv_maximum: 8.23 ± 2.60 min.
TTV_minimum: 458.60 ± 27.36 days, Amp_ttv_minimum: -8.44 ± 2.60 min.
TTV_maximum: 617.83 ± 29.58 days, Amp_ttv_maximum: 8.23 ± 2.60 min.
TTV_minimum: 777.07 ± 32.23 days, Amp_ttv_minimum: -8.44 ± 2.60 min.
TTV_maximum: 936.30 ± 35.20 days, Amp_ttv_maximum: 8.23 ± 2.60 min.
TTV_minimum: 1095.54 ± 38.44 days, Amp_ttv_minimum: -8.44 ± 2.60 min.
TTV_maximum: 1254.78 ± 41.87 days, Amp_ttv_maximum: 8.23 ± 2.60 min.
TTV_minimum: 1414.01 ± 45.46 days, Amp_ttv_minimum: -8.44 ± 2.60 min.
P_ttv: 318.47 ± 8.64 days.
Amp_ttv: 16.67 ± 3.68 minutes.
Lomb-Scargle periodogram, candidate P_ttv: 319.94 days; Power: 4.77; FAP: 0.0374.
Linear ephemeris (this work): Tc = [56.47583155 ± 0.00017550](Tc#) + [76.81239081 ± 0.00265601]


Figure 2.: KOI-1598.02, P = 92.88 days [Plot avg. error bars = ± 6.68 min.]
TTV_minimum: 180.94 ± 34.21 days, Amp_ttv_minimum: -17.16 ± 5.96 min.
TTV_maximum: 389.36 ± 36.75 days, Amp_ttv_maximum: 20.35 ± 5.96 min.
TTV_minimum: 597.78 ± 40.77 days, Amp_ttv_minimum: -17.16 ± 5.96 min.
TTV_maximum: 806.21 ± 45.89 days, Amp_ttv_maximum: 20.35 ± 5.96 min.
TTV_minimum: 1014.63 ± 51.78 days, Amp_ttv_minimum: -17.16 ± 5.96 min.
TTV_maximum: 1223.05 ± 58.21 days, Amp_ttv_maximum: 20.35 ± 5.96 min.
TTV_minimum: 1431.47 ± 65.02 days, Amp_ttv_minimum: -17.16 ± 5.96 min.
P_ttv: 416.84 ± 16.23 days.
Amp_ttv: 37.50 ± 8.43 minutes.
Lomb-Scargle periodogram, candidate P_ttv: 418.32 days; Power: 4.08; FAP: 0.0473.
Linear ephemeris (this work): Tc = [92.87461014 ± 0.00070732](Tc#) + [78.94044266 ± 0.00622682]


Figure 3.: KOI-1598.03, P = 13.93 days [Plot avg. error bars = ± 10.68 min.]
Linear ephemeris (this work): Tc = [13.93068744 ± 0.00011092](Tc#) + [67.42933216 ± 0.00698975]


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

1 Jun 2015
     Kepler KOI-1598 (Kepler-310, KIC-10004738) 4-(or more?)-Planet System

Discussion:
A sinusoidal curve-fit of the [(O-C) vs. Time] data for KOI-1598.01 Kepler-310c) showed (Figure 1.) a periodicity (P_ttv) of 318.47 ± 8.64 days; a Lomb-Scargle Periodogram (LSP) of the same data gave a medium-credibility periodicity of 319.94 days.  Potentially, a non-transiting planet is gravitationally interacting with KOI-1598.01 in this system.

A sinusoidal curve-fit of the [(O-C) vs. Time] data for KOI-1598.02 (Kepler-310d) showed (Figure 2.) a periodicity (P_ttv) of 416.84 ± 16.23 days; a Lomb-Scargle Periodogram (LSP) of the same data gave a medium-credibility periodicity of 418.32 days.  Potentially, a non-transiting planet is gravitationally interacting with KOI-1598.02 in this system.

The innermost known planet, KOI-1598.03 (Kepler-310b), showed no TTV (see Figure 3.).

For 1598.01 and 1598.02, the differences in the their P_ttv values, the lack of anti-correlation of their sinusoidal curves, and their the non-[
j ÷ (j-1) ] period ratio all suggest that they are not responsible for each others observed TTVs.  Thus, there could be (1) a 4th non-transiting planet between them, interacting with both, or (2) a 4th and 5th non-transiting planet each interacting separately.