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 B.1

Model parameters: new and previous results.

Estimate	e	f	χ	ω ₂	i	Ω	ϖ	V	K ₁	K ₂	Reference
		(d^-1)		(rad)	(rad)	(rad)	(mas)	(km s^-1)	(km s^-1)	(km s^-1)

	0.5304	0.0486 89388	0.93322	4.9771	1.0530	1.8381	38.74	−6.02	58.84	57.16
	0.5299	0.0486 89403	0.93315	4.9779	1.0528	1.8374	38.69	−6.20	58.60	57.39
	0.5295	0.0486 89409	0.93294	4.9784	1.0527	1.8365	38.91	−6.04	58.41	56.97
	0.5281	0.0486 89438	0.93244	4.9807	1.0515	1.8346	39.02	−6.02	58.21	56.83
I _HPD,50%	0.5282	0.0486 89341	0.93227	4.9751	1.0513	1.8345	38.13	−6.93	57.14	55.47
I _HPD,50%	0.5317	0.0486 89467	0.93379	4.9806	1.0549	1.8397	39.66	−5.21	60.21	58.47
I _HPD,68.27%	0.5270	0.0486 89295	0.93175	4.9735	1.0500	1.8327	37.74	−7.31	56.18	54.69
I _HPD,68.27%	0.5326	0.0486 89509	0.93430	4.9825	1.0558	1.8411	40.06	−4.68	60.84	5923
I _HPD,95%	0.5152	0.0486 88907	0.92550	4.9653	1.0383	1.8165	35.73	−9.96	51.77	50.35
I _HPD,95%	0.5380	0.0486 90031	0.93860	5.0019	1.0615	1.8485	42.24	−2.08	64.54	63.16
I _HPD,99%	0.4905	0.0486 88483	0.91472	4.9530	1.0134	1.7790	34.24	−12.40	46.87	45.66
I _HPD,99%	0.5451	0.0486 90874	0.94285	5.0423	1.0699	1.8593	45.02	0.22	67.05	66.49
Lit. estimate	0.537	0.0486 8881 ^a	0.93487 ^a	4.9595	...	...	...	−5.64	58.04 ^c	57.03 ^c	(1)
Uncertainty	0.004	... ^b	... ^b	0.0201	...	...	...	0.15	0.70	0.80	(1)
Lit. estimate	0.5354	0.0486 89403 ^a	0.93524 ^a	4.9620	1.0559	1.850	39.4	...	58.33 ^d	56.69 ^d	(2)
Uncertainty	0.0025	0.0000 00119	0.00097	0.0052	0.0052	0.007	0.3	...	2.40	2.33	(2)

Notes. For definitions of the estimates, see Sect. 2.2.2.

^(a)

Literature values and uncertainties are calculated from t₁ and the original parameters P and T according to Table 2.

^(b)

Uncertainties are missing for P in Prevot (1961) and thus for f and χ.

^(c)

K₁ and K₂ are derived from K_alt,1 and K_alt,2 via e according to Table 2.

^(d)

K₁ and K₂ are derived from and i using Eqs. (40), (44) and (47).

References. (1) Prevot (1961); (2) Hummel et al. (1998)

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