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Table 4

Observed and derived parameters for the Kepler-87 (KOI 1574) system.

Observed parameters
Quantity Best fit Median 1σ error

LinearP01[d] 114.73635 114.73631 ± 0.00015
a01/R 57.4 56.8
r01/R 0.06855 0.06859
b01/R 0.727 0.732
LinearP02[d] 191.2318 191.2315 ± 0.0015
a 02 80.7 79.9
r02/R 0.03123 0.03119
b02/R 0.579 0.591
P03 [d] 5.833904 5.833902
T mid,3 a 517.6762 517.6753
a 03 7.88 7.80
r03/R 0.00856 0.00853
b03/R 0.567 0.591
P04 [d] 8.97741 8.97730 ± 0.00011
a 04 10.50 10.40
T mid,4 519.4697 519.4679
r04/R 0.00983 0.00925
b04/R 0.746 0.742

Stellar parameters derived from spectroscopy

M [M] 1.1 ±0.05
R [R] 1.82 ±0.04
Age [Gyr] 7−8

Parameters from dynamical modeling
Quantity Mean Median 1σ error

M [M] 1.05 1.08 ±0.06
m01 [M] 324.2 326.1 ±8.8
a01t [AU] 0.471 0.474 ±0.010
P01 [d] 114.7309 114.7310 ±0.0005
e 01 0.036 0.039 ±0.009
ω01 [°] 238.6 255.3 ±27.6
M01 [°] 293.0 296.7 ±23.6
m02 [M] 6.4 6.5 ±0.8
a02 [AU] 0.664 0.668 ±0.013
P02 [d] 192.363 192.389 ±0.074
e 02 0.039 0.042 ±0.012
ω02 [°] 223.2 240.1 ±18.8
M02 [°] 291.4 297.3 ±14.4

Derived physical parameters
Quantity Best fit Median 1σ error

r01   [R] 13.49 13.49
a01   [AU]b 0.481 0.476
i01   [°] 89.274 89.262
ρ01   [g  cm-3] 0.729 0.728
Teq,01   [K] 478.1 480.5 ± 4.3
r02   [R] 6.14 6.14
a02   [AU]b 0.676 0.669
i02   [°] 89.588 89.576
ρ02   [g  cm-3] 0.152 0.153
Teq,02   [K] 403.3 405.2 ± 3.6
r03   [R] 1.68 1.68
a03   [AU]b 0.0660 0.0654
i03   [°] 85.87 85.66
Teq,03   [K] 1291 1297 ± 12
r04   [R] 1.93 1.82
a04   [AU]b 0.0880 0.0871
i04   [°] 85.93 85.91
Teq,04   [K] 1117.9 1123.3 ± 10.0

Notes. Subscript XX is understood to be the relevant parameter for signal 1574.XX. All times are BJD-2454833.

(a)

A secondary solution, disfavored by Δχ2 ≈ 5 is 517.6524;

(b)

calculated using R times aXX/R, not from dynamics.

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