Table 2.
Most probable values and 68% and 95% credible limits for all 3 different simulations.
| Quantity | 95% lower limit | 68% lower limit | Most probable value | 68% upper limit | 95% upper limit |
|---|---|---|---|---|---|
| Synthetic data | |||||
| Req (km) | 10.4 | 11.1 | 12.0 | 12.8 | 13.7 |
| M (M⊙) | 1.36 | 1.44 | 1.51 | 1.64 | 1.75 |
| i (deg) | 52 | 56 | 61 | 68 | 75 |
| θ (deg) | 12 | 13 | 15 | 16 | 18 |
| ρ (deg) | 4.8 | 9.7 | 16 | 24 | 26 |
| D (kpc) | 1.1 | 1.9 | 3.6 | 5.6 | 5.9 |
| h | −0.84 | −0.77 | −0.70 | −0.66 | −0.63 |
| T′ (keV) | 0.81 | 0.83 | 0.85 | 0.87 | 0.90 |
| Xsc | 0.56 | 0.58 | 0.60 | 0.61 | 0.62 |
| Γ | 1.794 | 1.798 | 1.803 | 1.807 | 1.812 |
| log σi | 0.90 | 0.92 | 1.05 | 1.42 | 1.75 |
| NH (1022 cm−2) | 0.019 | 0.083 | 0.14 | 0.20 | 0.20 |
| Xrefl | 0.040 | 0.044 | 0.051 | 0.059 | 0.076 |
Synthetic data with more precise priors for i and θ |
|||||
| Req (km) | 10.6 | 11.0 | 11.9 | 12.4 | 13.3 |
| M (M⊙) | 1.38 | 1.46 | 1.53 | 1.57 | 1.61 |
| i (deg) | 57.1 | 58.8 | 62.6 | 62.9 | 62.9 |
| θ (deg) | 13.8 | 14.6 | 15.2 | 16.5 | 16.9 |
| ρ (deg) | 4.7 | 9.2 | 18 | 23 | 26 |
| D (kpc) | 1.1 | 1.9 | 3.7 | 5.3 | 5.9 |
| h | −0.75 | −0.72 | −0.70 | −0.68 | −0.67 |
| T′ (keV) | 0.81 | 0.83 | 0.86 | 0.87 | 0.89 |
| Xsc | 0.59 | 0.59 | 0.60 | 0.61 | 0.61 |
| Γ | 1.794 | 1.798 | 1.803 | 1.808 | 1.812 |
| log σi | 0.90 | 0.93 | 1.1 | 1.4 | 1.7 |
| NH (1022 cm−2) | 0.025 | 0.087 | 0.14 | 0.20 | 0.20 |
| Xrefl | 0.046 | 0.048 | 0.050 | 0.052 | 0.055 |
Observed data of SAX J1808.4−3658 |
|||||
| Req (km) | 4.80 | 5.13 | 5.77 | 6.71 | 10.5 |
| M (M⊙) | 1.01 | 1.07 | 1.13 | 1.26 | 1.54 |
| i (deg) | 71 | 79 | 82 | 86 | 87 |
| θ (deg) | 9.5 | 14 | 17 | 19 | 21 |
| ρ (deg) | 8.4 | 10 | 12 | 26 | 36 |
| D (kpc) | 1.0 | 1.1 | 2.5 | 2.8 | 3.8 |
| h | −0.89 | −0.75 | −0.69 | −0.65 | −0.62 |
| T′ (keV) | 0.79 | 0.96 | 1.0 | 1.0 | 1.1 |
| Xsc | 0.56 | 0.60 | 0.62 | 0.63 | 0.65 |
| Γ | 1.798 | 1.803 | 1.807 | 1.812 | 1.816 |
| log(σi) | 1.65 | 2.12 | 2.30 | 2.44 | 2.79 |
| NH (1022 cm−2) | 0.0021 | 0.0027 | 0.0049 | 0.042 | 0.11 |
| Xrefl | 0.027 | 0.052 | 0.087 | 0.12 | 0.20 |
Notes. The quantities shown in the table are equatorial radius Req, mass M, inclination i, spot co-latitude θ, spot angular size ρ, distance D, beaming parameter h, temperature of the spot T′, scattered photon fraction Xsc, photon spectral index Γ, intrinsic scatter log σi, hydrogen column density NH, and the reflection amplitude Xrefl.
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