Fig. 1.

Download original image
Left: Expected Aell for a 1 M⊙ MS star with an 8 M⊙ dark companion (i.e. mass ratio q = 8) at a range of orbital periods (denoted in days in the legend) as a function of orbital inclination cos i (0 is edge-on, 1 is face-on). Because the probability distribution of cos i is uniform for a randomly oriented orbit, every y value plotted here is equally likely. We note that this binary system will overflow its Roche lobe at a period of ≈0.37 days. Middle: Derived values of qmin for the same binary systems, assuming perfect knowledge of M1 and R1. The differences between the curves in this panel come solely from neglecting of the Gomel et al. (2021c) correction factor, C, which depends on Roche lobe filling factor. Neglecting C also explains why values of qmin > 8 are possible, as is discussed in the text. The dotted grey line shows the true value of q. We do not plot the Porb = 0.4 day model here, as the large value of C produces an unphysical value of ℳell > 1 and causes a breakdown of the qmin calculation. Right: Derived values of MMMR for the same binary systems. We note that most binary configurations result in MMMR < 1, and even the Porb = 0.4 day track produces MMMR > 1 for less than half of the range of cos i.
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.