Bayesian analysis of exoplanet and binary orbits - Demonstrated using astrometric and radial-velocity data of Mizar A

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Volume 545 (September 2012)

A&A, 545 (2012) A79

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Table 2

Quantities derived from model parameters.

				Mode ^a		Data types ^b


Definition	Designation	Unit	Equations	N	B	AM	RV	AM+RV


P ≡ f^-1	period	d		×	×	×	×	×
	time of periapsis	d	(27)	×	×	×	×	×
	distance	pc			×			×
	binary mass ratio	1	(40), (44)		×		×	×
	alternative RV semi-amplitude ^c	ms^-1		×	×		×	×
	component mass	M _⊙	(44), (45)		×			×
	semi-major axis of component’s orbit around CM	AU	(44)		×			×
	semi-major axis of secondary’s orbit around primary	AU	(44)		×			×
	semi-major axis of stellar orbit times sine of inclination	AU	(44)	×			×
	minimum planetary mass ^d	M _J	(44)	×			×
	maximum semi-major axis of planetary orbit	AU	(40)	×			×

Notes.

^(a)

The modes in which each derived quantity appears. Abbreviations: N (normal), B (binary).

^(b)

The types of data for which each derived quantity is relevant. Abbreviations: AM (astrometry), RV (radial velocities).

^(c)

Refers to the star or any of the binary components, respectively.

^(d)

The implicit function of minimum planetary mass m_p,min is solved numerically. The planet’s minimum mass equals its real mass if the orbit is edge-on, viz. sini = 1.

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