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Table 4.

Change in the orbital elements.

Model ȧ/a (ȧ/a)DK16 ė/e (ė/e)DK16 (ė/e)tides
yr−1 yr−1 yr−1 yr−1 yr−1
Q2e0 −8.43 × 10−7 5.20 × 10−6
Q2e02 8.28 × 10−7 5.77 × 10−6 −1.18 × 10−6 −2.40 × 10−6 −1.10 × 10−4
Q2e04 2.77 × 10−6 6.22 × 10−6 −9.58 × 10−7 −1.53 × 10−6 −1.91 × 10−5
Q2e06 4.56 × 10−6 6.49 × 10−6 −5.37 × 10−7 −8.67 × 10−7 −4.41 × 10−6
Q2e08 6.15 × 10−6 6.81 × 10−6 −2.16 × 10−7 −3.33 × 10−7 −9.22 × 10−7
Q2e06v1 −1.58 × 10−6 4.15 × 10−6 −1.66 × 10−6 −1.97 × 10−6 −4.41 × 10−6
MMe05 −6.88 × 10−6 −3.18 × 10−6 6.41 × 10−6 −3.91 × 10−6 −5.10 × 10−6

Notes. ȧ/a and ė/e correspond to the changes in semi-major axis and eccentricity, respectively, as measured dynamically from the simulations. The values of ȧ/a and ė/e with the subscript DK16 correspond to the analytical values for these quantities as derived from Eqs. (81) and (82) in Dosopoulou & Kalogera (2016). (ė/e)tides is the expected change in the eccentricity due to tidal interaction, as derived from Eq. (12).

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