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Table 1.

UFD properties.

Ultra-faint dwarf galaxy properties

N = 82 000 stars

Q = 0.5

rvir = 50 pc

Plummer model density, Kroupa 2001 initial mass function

No external tidal field

Simulation time = 13 700 Myr

trel, c ≈ 6000 Myr; trel, hm ≈ 43 000 Myr

tdf, c ≈ 2000 Myr; tdf, hm ≈ 14 200 Myr

Z = 0.01

fb = 0, 0.1, 0.2, 0.3, 0.4, 0.5 of stars

Random coupling for binaries (1), (2)

Log uniform distribution of semimajor axis a in the 0.1 − 50 AU range

Thermal distribution of eccentricities e

Model names: U0, U10, U20, U30, U40, U50, according to the binary fraction

Notes. Settings of the UFD models and its binaries, illustrating the general properties and the binaries properties. N is the number of stars, Q is the virial ratio of the cluster, rvir is the virial radius, the Plummer model is the density profile distribution, trel, c and trel, hm are the relaxation time at the core radius (the radius where the density of the cluster is half of the central density) and the half-mass radius region (the numerical equivalent of the half-light radius, counting the number of stars instead of the luminosity). tdf, c and tdf, hm are the dynamical friction timescales, which we assumed to be one-third of the relaxation time (see text). Z is the absolute metallicity of the UFD. For the binaries, we define fb as the fraction of the total number of stars that are in binary systems, so 50%, for N = 82 000 stars, means that 41 000 stars are in a 20 500 binary systems. (1) Weidner et al. (2009); (2) Wang et al. (2015).

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