Astrometry and exoplanets in the Gaia era: a Bayesian approach to detection and parameter recovery

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Table 1

Probability distributions of randomised parameters for the single-planet simulations.

Parameter	Distribution
RA, Dec	Uniform over the celestial sphere
Δα₀ (mas)	Normal (0, 0.04)
Δδ₀ (mas)	Normal (0, 0.04)
d (pc)	log-normal (, 0.6)
ϖ (mas)	1000/d
μ_α, μ_δ (mas yr⁻¹)	taken randomly from Gaia DR1
	stars with distance ~d
T_p (yr)	Uniform (0, P)
Ω	Uniform (0, 180°)
ω	Uniform (− 180°, 180°)
cos i	Uniform (− 1, 1)

Notes. The parameters for the normal distribution are mean and sigma; for the log-normal they are log-mean and sigma; for the uniform they are thebounds of the allowed interval.

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