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A 2-hr binary period for the black hole transient MAXI J0637-430

We revisit various sets of published results from X-ray and optical studies of the Galactic black hole (BH) candidate MAXI J0637-430, which went into outburst in 2019. Combining the previously reported values of peak outburst luminosity, best-fitting radii of inner and outer accretion disk, viewing angle, exponential decay timescale and peak-to-peak separation of the He II 4686 disk emission line, we improve the constraints on the system parameters. We estimate a heliocentric distance d = (8.7 +/- 2.3) kpc, a projected Galactocentric distance R = (13.2 +/- 1.8) kpc and a height |z| = (3.1 +/- 0.8) kpc from the Galactic plane. It is the currently known Milky Way BH candidate located farthest from the Galactic Centre. We infer a BH mass M_1 = (5.1 +/- 1.6) M_{sun}, a spin parameter a* <~ 0.25, a donor star mass M_2 = (0.25 +/- 0.07) M_{sun}, a peak Eddington ratio lambda = 0.17 +/- 0.11 and a binary period P_{orb} = 2.2^{+0.8}_{-0.6} hr. This is the shortest period measured or estimated so far for any Galactic BH X-ray binary. If the donor star is a main-sequence dwarf, such a period corresponds to the evolutionary stage where orbital shrinking is driven by gravitational radiation and the star has regained contact with its Roche lobe (low end of the period gap). The three Galactic BHs with the shortest period (<~3 hr) are also those with the highest vertical distance from the Galactic plane (>~2 kpc). This is probably because binaries with higher binding energies can survive faster natal kicks.