Table 2.
Evolution of a zero-age main-sequence binary toward SDSS J1257+5428.
Time | M1 | M2 | Type1 | Type2 | Orbital period | Event |
---|---|---|---|---|---|---|
(Myr) | (M⊙) | (M⊙) | (days) | |||
0.0000 | 3.920 | 1.204 | MS | MS | 3788.000 | Zero-age MS–MS binary |
188.5753 | 3.920 | 1.204 | SG | MS | 3788.104 | Change in primary type |
189.4994 | 3.920 | 1.205 | FGB | MS | 3788.482 | Change in primary type |
190.2362 | 3.919 | 1.205 | CHeB | MS | 3790.178 | Change in primary type |
225.0617 | 3.880 | 1.205 | E-AGB | MS | 3847.527 | Change in primary type |
226.6515 | 3.842 | 1.205 | TP-AGB | MS | 3831.904 | Change in primary type |
227.1598 | 2.818 | 1.250 | TP-AGB | MS | 3092.126 | Begin RLOF (primary is the donor) |
227.1598 | 2.818 | 1.250 | TP-AGB | MS | 3092.126 | CE evolution (αCE = 0.3) |
227.1598 | 0.850 | 1.250 | WD | MS | 7.070 | End RLOF |
5002.3338 | 0.850 | 1.246 | WD | SG | 7.092 | Change in secondary type |
5017.5672 | 0.850 | 1.246 | WD | SG | 1.155 | Begin RLOF (secondary is the donor) |
5066.7650 | 1.033 | 0.189 | WD | proto-WD | 0.197 | End RLOF |
5335.6121 | 1.034 | 0.184 | WD | WD | 0.204 | Change in secondary type |
6017.6280 | 1.034 | 0.184 | WD | WD | 0.190 | Binary looks like SDSS J1257+5428 |
Notes. For the pre-CE evolution and CE evolution we used the BSE code and for the post-CE evolution the MESA code. M1 and M2 and Type1 and Type2 are the masses and stellar types of the primary (progenitor of the hot WD) and secondary (progenitors of the cold WD), respectively. Porb is the orbital period and the last column corresponds to the event occurring to the binary at the given time in the first column. The row in which the binary has the present-day properties of SDSS J1257+5428 is highlighted in boldface. Abbreviations: MS (main-sequence star), SG (subgiant star), FGB (first giant branch star), CHeB (core helium burning star), E-AGB (early asymptotic giant branch star), TP-AGB (thermally pulsing asymptotic giant branch star), WD (white dwarf), RLOF (Roche lobe overflow), CE (common envelope).
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