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Table A.8.

Apsidal motion and/or orientation parameters from AME and dynamical fits

KIC No. Panom a1 e1 ω1 τ1 Papse im i1 i2 ΔΩ Pnode
(days) (R) (deg) (MJD) (years) (deg) (deg) (deg) (deg) (years)
4758368 3.75048(6) 0.004(1) 340(7) 54958.92(7) 77(10)
4851217 2.4703961(1) 0.03179(2) 348.9(3) 54954.418(2) 153(2)
5039441 2.1513865(2) 0.007(5) 294(15) 54955.49(9) 3573(185)
5288543 3.4574(1) 0.00184(3) 334(5) 54965.42(4) 118(48)
6965293 5.07784(9) 0.0105(6) 192(16) 54956.4(2) 774(741)

2576692 87.87923(1) 119.4(2) 0.193(3) 317.4(9) 55035.1(2) 21158 7.2(7) 89 91 7.1(7) −7729
3247294 67.422032(3) 90.9(6) 0.444(1) 157.0(5) 54955.0(1) 17672 21(2) 89 95 20(2) −3926
3345675 119.992116(9) 112(1) 0.4434(8) 349.5(6) 55094.4(1) −3315 61.2(6) 89: 68 −59.1(6) −4585
3544694 3.84763242(9) 11.4(6) 0.00143(2) 356(3) 55741.57(3) 21.3 0 83 83 0 −17.0
3938073 31.024399(7) 60(2) 0.4337(2) 5.1(4) 54964.79(3) 14497(1566) 0 88 88 0 −12570
4079530 17.727605(1) 33(1) 0.266(3) 323(1) 54996.35(3) 2022 0 86: 86 0 −28
4753988 7.3044960(2) 21.7(2) 0.027(5) 80(9) 54971.5(2) 36689 44(12) 89 110 40(11) −52200
4909707 2.30239303(4) 11.2(8) 0.0067(5) 203(10) 54953.50(6) 569 10(5) 88: 93 8(4) −525
4940201 8.8179382(4) 22.2(4) 0.00132(3) 187(5) 54965.3(1) 153 0 86 86 0 −131
5080652 4.14362482(8) 14(1) 0 0 87 87 0 −79
5095269 18.6121418(1) 40.32102 0.5032 288.34 54967.138959(6) 5121 31(11) 85 73 30(11) −153
5255552 32.45864(7) 54.8(9) 0.237(2) 110.2(1) 54957.18(2) 177 3(1) 88 90 3(1) −131
5384802 6.08125035(9) 20.4(9) 0 0 83 83 0 −65
5393558 10.2171140(3) 22(2) 0.24(3) 275.4(6) 54970.34(1) 25938 0 88 88 0 −9852
5632781 11.0252224(2) 26.52(9) 0.2798(3) 205.2(1) 54974.562(3) 16445(175) 2(2) 89 90 −2(2) −8640
5650317 2.14029507(2) 10.9(5) 0 0 88 88 0 −58
5653126 38.50620(2) 70.9(6) 0.319(6) 300.4(8) 54987.51(5) 316 15.3(9) 87 85 −15.2(9) −210
5731312 7.94638200(8) 18.6(1) 0.435(4) 162(3) 54966.83(6) −6368 38.15(6) 87 88 −38.2(1) −911
5771589 10.784681(2) 25.0(4) 0.0134(3) 242(3) 54961.26(8) 6.79 1.3(5) 86 85 0.7(4) −6.21
5952403 0.90547513(1) 4.79(8) 0 0.8 87 88 0 −13.8
6146838 27.4677544(4) 49.8(6) 0.282(7) 301(2) 54978.0(1) 39000 14.9(8) 89 76 −8.0(7) −18990
6233903 5.9908471(5) 17.8(2) 0.008(2) 73(45) 55004.4(8) 5064 0 87 87 0 −4574
6525196 3.42052772(1) 11.9(2) 0 15(4)a 85 95 −11(6) −505
6531485 0.676913205(7) 3.1(3) 0 0 80: 80 0 −18
6545018 3.99241(1) 12.2(1) 0.00278(2) 181(1) 54964.85(1) 46.0(6)b 0 87 87 0 −22
6546508 6.1071516(2) 18(1) 0.005(2) 80(7) 55192.7(1) 1869 0 85 85 0 −1750
6877673 36.7592372(8) 53.92(9) 0.1491(2) 48.65(1) 55001.992(4) 6613 28(3) 90 99 26(3) −6505
7177553 17.9964861(4) 36.1(4) 0.39185(7) 182.1(5) 54952.32(2) 46335(192) 32(2) 88 85 32(2) −304
7289157 5.2672593(2) 15.9(5) 0.095(2) 68.5(6) 54972.23(1) 103 8(3) 81 90 0(3) −81
7668648 27.91210(4) 44(1) 0.0388(6) 81.0(5) 54976.53(4) 24.8 4(1) 89 86 −3(1) −21
7690843 0.78615097(4) 4.40(7) 0 0 80 80 0 −21
7812175 17.797913(1) 31(2) 0.1568(4) 325.6(2) 55004.688(8) 217 0 88 88 0 −169
7821010 24.2382708(1) 48.18(8) 0.667(2) 238.1(2) 54969.283(5) 57120(128) 14(3) 90 91 −14(3) −1098
7837302 23.838001(2) 45.3(9) 0.27(1): 272(8): 54983.0(3): 1799: 8(2) 86: 78 1(2) −907
8023317 16.5790020(3) 34(1) 0.258(2) 165(2) 54976.2(1) −637 57(2) 87 104 55(2) −921
8143170 28.78644(1) 65.9(6) 0.153(2) 290.4(3) 54971.31(2) 811 37.9(2) 89: 111 −31.6(3) −781
8210721 22.678148(2) 39.5(5) 0.1363(4) 162.3(4) 54965.34(4) 285 0.9(9) 88 89 −0.06(7) −240
8211618 0.33744683(4) 2.50(7) 0 0 82: 82 0 −2827
8553907 42.0321296(4) 79.6(3) 0.543(1) 327.6(3) 54959.78(1) −66015 61.8(2) 90 55 −55.1(2) −80375
8560861 31.9732355(7) 61.30(7) 0.037(1) 187(6) 54959.8(5) 24236 0 87 87 0 −17520
8719897 3.15130127(1) 10.3(4) 0 0 83 83 0 −276
9007918 1.387205051(2) 6.6(1) 0 0 81 81 0 −2706
9028474 124.93719(2) 138.1(7) 0.8139(4) 345.6(3) 55012.79(2) −109417 46(1) 88 91 −47(1) −3101
9451096 1.250421903(3) 6.8(3) 0.00052(4) 149(13) 54954.31(4) 137 0 80 80 0 −115
9664215 3.3195521(1) 10.7(5) 0.0036(2) 136(2) 54963.70(2) 1424 0 86: 86 0 −1313
9714358 6.47470(2) 14.8(2) 0.031(1) 115(1) 54964.62(2) 300(18) 0.4(3) 88 88 0.4(3) −19.9
9850387 2.74848703(3) 11.5 0 6(9) 82 85 5(7) −2060
9963009 40.070257(2) 71(1) 0.27(3) 260(2) 54985.4(1) −3428 36(4) 89: 55 12(11) −946
10095512 6.0175275(1) 15(1) 0.00120(5) 204(6) 54952.8(1) 309 0 85 85 0 −282
10223616 29.14894(8) 48.6(7) 0.08(1) 66(5) 54987.5(5) 95 11(3) 91 95 −10(3) −77
10268809 24.708999(5) 41(1) 0.321(6) 141(2) 54965.4(2) 5229 27(3) 89 89 −27(3) −2232
10296163 9.29678447(3) 24(1) 0.40(1) 44.2(1) 54961.79(4) −15595 56.1(9) 88 126 −44.2(8) −22266
10483644 5.11068306(6) 16.6(9) 0 0 85 85 0 −704
10549576 9.0895504(8) 27.9(7) 0.0104(8) 66(2) 54976.00(4) 15547 28(7) 87 114 −10(10) −1509
10613718 1.1757927(2) 6.1(2) 0 0 86: 86 0 −54
10666242 87.246994(6) 102(5) 0.22(4) 139.8(3) 54960(1) 13761 28(6) 90 97 27(6) −2818
10979716 10.6844567(4) 23.8(8) 0.083(5) 104.4(9) 54962.25(3) 867 20(2) 88 69 7(2) −599
11502172 25.431989(3) 41(2) 0.0920(6) 351(2) 54973.6(1) 4795 4(4) 89: 85 2(2) −4520
11519226 22.163248(1) 45.0(8) 0.18729(5) 357.4(3) 54977.05(2) 877 14(2) 87 90 -14(2) −540
11558882 73.913277(9) 86.3(9) 0.31(1) 185.69(7) 54977.5(3) −5170 46.1(8) 89 84 −45.9(8) −4210
12302391 25.321357(1) 64.3(3) 0.20(1) 299(2) 54974.04(8) −6602 44(1) 90: 48 −18(2) −6152
12356914 27.308455(3) 55(1) 0.43(2) 253.8(8) 54976.06(3) −6365 42.0(4) 90 121 −29.5(7) −1614

Notes. (a)This would predict an inclination variation of Δi1 ≈ +2° for today from the beginning of the Kepler observations; (b)Papse was set to be an adjusted parameter.

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