The VLT/NaCo large program to probe the occurrence of exoplanets and brown dwarfs at wide orbits - III. The frequency of brown dwarfs and giant planets as companions to solar-type stars

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Table 1

Planet and BD distributions: model values.

Parameter	Values

α_BD	1.25^a
α_pl	−0.31 ^b
a_{c_BD}	50 AU^c
σ_BD	1.68^c
β_pl	0.39^b
f_BD	0.61 for [q = 0.08–1] & all separations^c
f_pl	0.0329 for [1–13 M_J] & [0.3–2.5 AU]^d
m_{min_BD}	5 M_Jupiter
m_{max_BD}	80 M_Jupiter
a_{min_BD}	0.1 AU
a_{max_BD}	10 000 AU
m_{min_pl}	–
m_{max_pl}	0.1 × M_star
a_{min_pl}	–
a_{max_pl}	r_cutoff^e

Notes.

^(a)

Reggiani & Meyer (2013), measured for stellar companions, but extrapolated to the BD regime.

^(b)

Heinze et al. (2010), based on Cumming et al. (2008), and extrapolated to larger separations.

^(c)

Raghavan et al. (2010), measured for stellar companions, but extrapolated to the BD regime.

^(d)

Heinze et al. (2010), based on Fischer & Valenti (2005).

^(e)

It is a free parameter in our analysis.

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