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Table 3.

Orbital parameters of the Vela X-1/HD 77581 system as derived by a selection of authors over the years.

Reference Time Phase zero Orbital period Semimajor axis Eccentricity Longitude of
basis [MJD] Porb [d] aX sin i [lt-s] e periastron ω
Forman et al. (1973) Tecl 41446.04 ± 0.07 8.95 ± 0.02 0.14 ± 0.05
Hutchings (1974) (H74) Tphot 41593.40 ± 0.56 8.966 ± 0.001
Rappaport et al. (1976) Tecl 42611.501 ± 0.12 (H74) 111.4 ± 3.3 0.126 ± 0.041 146 ± 23
Ögelman et al. (1977) (Ö77) Tecl 42446.03 ± 0.06 8.9643 ± 0.0005 113.0 ± 4.0 162 ± 25
van Paradijs et al. (1977a) 8.9681 ± 0.0016 0.136 ± 0.046
Watson & Griffiths (1977) Tecl 42620.30 ± 0.05 8.9640 ± 0.0005
Rappaport et al. (1980) Tperi 42822.90 ± 0.13 8.9649 ± 0.0002 113.0 ± 0.8 0.092 ± 0.005 154 ± 5
Nagase et al. (1983) Tecl 41446.02 ± 0.05 8.9640 ± 0.0006
Nagase et al. (1984a) Tperi 45329.05 ± 0.06 8.9642 ± 0.0006 114.10 ± 0.50 0.080 ± 0.006 157.3 ± 2.1
van der Klis & Bonnet-Bidaud (1984) Tπ/2 42727.750 ± 0.024 (Ö77) (Ö77) 0.116 ± 0.022 166 ± 7
– ditto – Tπ/2 42966.628 ± 0.019 (Ö77) 113.4 ± 1.7 0.085 ± 0.022 121 ± 16
– ditto – Tπ/2 44170.937 ± 0.021 (Ö77) 113.20 ± 1.4 0.102 ± 0.024 177 ± 15
Boynton et al. (1986) Tπ/2 43821.3604 ± 0.0056 8.96443 ± 0.00022 112.70 ± 0.47 0.0881 ± 0.0036 152.8 ± 2.2
Deeter et al. (1987b) Tπ/2 43955.8261 ± 0.0048 8.964353 ± 0.000063 112.66 ± 0.41 0.0896 ± 0.0031 152.8 ± 1.8
Deeter et al. (1987a) Tπ/2 44278.5466 ± 0.0037 8.964416 ± 0.000049 112.98 ± 0.35 0.0885 ± 0.0025 150.6 ± 1.8
Bildsten et al. (1997) (B97) Tπ/2 48895.2186 ± 0.0012 8.964368 ± 0.00004 113.89 ± 0.13 0.0898 ± 0.0012 152.59 ± 0.92
Kreykenbohm et al. (2008) Tπ/2 52974.001 ± 0.012 8.964357 ± 0.000029 (B97) (B97) (B97)
– ditto – Tecl 52974.227 ± 0.007 Same as above
Falanga et al. (2015) Tπ/2 42611.349 ± 0.013 8.964427 ± 0.000012 (B97) (B97) (B97)
– ditto – Tecl 42611.1693 ± 0.013 8.9644061 ± 0.0000064

Notes. We also indicate where subsequent publications directly reused previous results. Different definitions of the time of phase zero have been used over time: Mid-eclipse time (Tecl) or time of mean longitude equal to π/2 (Tπ/2 ≡ T90) are the most common, but some authors also use periastron time (Tperi or τ) or specific zero times (Hutchings 1974).

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