Table 6.
Results of the analysis of V4142 Sgr ASAS V-band light-curve obtained by solving the inverse problem for the Roche model with an accretion disk around the more-massive (hotter) gainer in the critical non-synchronous rotation regime.
Quantity | Quantity | ||
---|---|---|---|
n | 806 | ℳh[ℳ⊙] | 3.86 ± 0.30 |
Σ(O − C)2 | 5.3250 | ℳc[ℳ⊙] | 1.11 ± 0.20 |
σrms | 0.0813 | ℛh[ℛ⊙] | 6.35 ± 0.20 |
i[° ] | 81.5 ± 0.3 | ℛc[ℛ⊙] | 19.4 ± 0.2 |
Fd | 0.656 ± 0.03 | log gh | 3.42 ± 0.05 |
Td[K] | 3105 ± 100 | log gc | 1.90 ± 0.05 |
de[aorb] | 0.132 ± 0.005 |
![]() |
−3.19 ± 0.20 |
dc[aorb] | 0.031 ± 0.005 |
![]() |
−0.57 ± 0.10 |
aT | 0.46 ± 0.05 | aorb[R⊙] | 70.2 ± 0.3 |
fh | 23.8 ± 1.1 | ℛd[ℛ⊙] | 22.8 ± 0.3 |
Fh | 1.000 | de[R⊙] | 9.3 ± 0.2 |
Th[K] | 14380 ± 700 | dc[R⊙] | 2.2 ± 0.2 |
Ahs = Ths/Td | 1.43 ± 0.06 | ||
θhs[° ] | 19.7 ± 2.6 | ||
λhs[° ] | 339.0 ± 6.2 | ||
θrad[° ] | 28.4 ± 5.5 | ||
Abs = Tbs/Td | 1.39 ± 0.06 | ||
θbs[° ] | 41.4 ± 8.0 | ||
λbs[° ] | 236.5 ± 9.1 | ||
Ωh | 13.789 ± 0.030 | ||
Ωc | 2.437 ± 0.020 |
Notes. FIXED PARAMETERS: q = ℳc/ℳh = 0.287 is the mass ratio of the components, Tc = 4500 K is the temperature of the less-massive (cooler) donor, Fc = 1.0 is the filling factor for the critical Roche lobe of the donor, fc = 1.00 is the non-synchronous rotation coefficients of the donor, Fh = Rh/Rzc is the filling factor for the critical non-synchronous lobe of the hotter, more-massive gainer (ratio of the stellar polar radius to the critical Roche lobe radius along z-axis for a star in critical non-synchronous rotation regime), βh = 0.25, βc = 0.08 represents the gravity-darkening coefficients of the components, Ah = 1.0, Ac = 0.5 is the albedo coefficients of the components. Note: n – number of observations, Σ(O − C)2 is the final sum of squares of residuals between observed (LCO) and synthetic (LCC) light-curves, σrms is the root-mean-square of the residuals; i is the orbit inclination (in arc degrees), Fd = Rd/Ryc is the disk dimension factor (the ratio of the disk radius to the critical Roche lobe radius along y-axis), Td is the disk-edge temperature, de, dc, are the disk thicknesses (at the edge and at the center of the disk, respectively) in the units of the distance between the components, aT is the alpha disk temperature distribution coefficient, fh is the non-synchronous rotation coefficient of the more massive gainer (in the critical non-synchronous rotation regime), Th is the temperature of the gainer, Ahs, bs = Ths, bs/Td are the hot spot temperature coefficients, θhs, bs and λhs, bs are the spot angular dimension and longitude (in arc degrees), θrad is the angle between the line perpendicular to the local disk edge surface and the direction of the hot-spot maximum radiation, Ωh, c are the dimensionless surface potentials of the hotter gainer and cooler donor, ℳh,c[ℳ⊙], ℛh,c[ℛ⊙] – stellar masses and mean radii of stars in solar units, log gh, c is the logarithm (base 10) of the system components effective gravity, are the absolute stellar bolometric magnitudes, aorb [R⊙], ℛd[ℛ⊙], de[R⊙], dc[R⊙] are the orbital semi-major axis, disk radius, and disk thicknesses at its edge and center, respectively, given in solar units.
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