• High Power Laser Science and Engineering
  • Vol. 6, Issue 2, 02000e37 (2018)
Lan Zhang1, Feilu Wang1、2、3、*, Xiangxiang Xue1, Dawei Yuan1, Huigang Wei1, and Gang Zhao1、2
Author Affiliations
  • 1Key Laboratory of Optical Astronomy, National Astronomical Observatories, Chinese Academy of Sciences, Beijing 100012, China
  • 2School of Astronomy and Space Science, University of Chinese Academy of Sciences, Beijing 101408, China
  • 3Graduate School of China Academy of Engineering Physics, Beijing 100196, China
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    DOI: 10.1017/hpl.2018.29 Cite this Article Set citation alerts
    Lan Zhang, Feilu Wang, Xiangxiang Xue, Dawei Yuan, Huigang Wei, Gang Zhao. Physical parameter estimation with MCMC from observations of Vela X-1[J]. High Power Laser Science and Engineering, 2018, 6(2): 02000e37 Copy Citation Text show less
    Reduced fit for He-triplets with a three-Gaussian model, taking Si xiii of Vela X-1 with as an example. Best fitting result and its error range are shown in red thick line and red shadow, respectively. The observed spectrum and its error bars are shown in black steps.
    Fig. 1. Reduced fit for He-triplets with a three-Gaussian model, taking Si xiii of Vela X-1 with  as an example. Best fitting result and its error range are shown in red thick line and red shadow, respectively. The observed spectrum and its error bars are shown in black steps.
    The best model-predicted continuum shown in red thick lines for three phases. The scatter and direct components are shown separately. Shadows are the 68.3% errors in the recovered value of parameters. The observed spectrum and its error bars are shown in black steps and gray shadow. The large residual values are caused by emission lines.
    Fig. 2. The best model-predicted continuum shown in red thick lines for three phases. The scatter and direct components are shown separately. Shadows are the 68.3% errors in the recovered value of parameters. The observed spectrum and its error bars are shown in black steps and gray shadow. The large residual values are caused by emission lines.
    The best model-predicted He-like Mg xi shown in red thick line for both (a) the Eclipse phase and (b) . Red shadows are the 68.3% errors in the recovered value of parameters list in Table 4. The observed spectrum and its error bars are shown in black steps.
    Fig. 3. The best model-predicted He-like Mg xi shown in red thick line for both (a) the Eclipse phase and (b) . Red shadows are the 68.3% errors in the recovered value of parameters list in Table 4. The observed spectrum and its error bars are shown in black steps.
    The best model-predicted He-like Si XIII shown in red thick line for both (a) the Eclipse phase and (b) . Red shadows are the 68.3% errors in the recovered value of parameters list in Table 4. The observed spectrum and its error bars are shown in black steps.
    Fig. 4. The best model-predicted He-like Si XIII shown in red thick line for both (a) the Eclipse phase and (b) . Red shadows are the 68.3% errors in the recovered value of parameters list in Table 4. The observed spectrum and its error bars are shown in black steps.
    Comparisons with previous works. Red thick lines and their shadows are our present best-fit results. Aqua, blue, and purple dash lines are the results with parameters determined by S99, G04, and W06, respectively.
    Fig. 5. Comparisons with previous works. Red thick lines and their shadows are our present best-fit results. Aqua, blue, and purple dash lines are the results with parameters determined by S99, G04, and W06, respectively.
    Posterior PDFs of parameters and their correlations. Using the parameters of continuum for as an example. Red lines represent values used in best-fit for , and dashed lines correspond to 1- error. The plot is made by a Python module corner[30].
    Fig. 6. Posterior PDFs of parameters and their correlations. Using the parameters of continuum for  as an example. Red lines represent values used in best-fit for , and dashed lines correspond to 1- error. The plot is made by a Python module corner[30].
    ObsIDOrbital phase Start dateExposure [s]
    1926 Eclipse 2001-02-11 21:19:13 83.15
    1927 0.52001-02-07 09:56:13 29.43
    1928 0.252001-02-05 05:28:51 29.57
    Table 1. A summary of observation information taken from Chandra data archivea .
    Range
    Parameters Eclipse
    [0.00, 0.02][0.00, 0.20][0.00, 0.20]
    ( )
    [0.00, 10.00][0.00, 10.00][0.00, 10.00]
    ()
    [0.00, 3.00][0.00, 3.00][0.00, 3.00]
    [0.00, 0.20][0.00, 1.00][0.00, 1.00]
    ()
    [0.00,100.00][0.00,100.00][0.00,100.00]
    ()
    [0.00, 3.00][0.00, 3.00][0.00, 3.00]
    [0.00, 0.01][0.00, 0.10]
    ( )
    Mg , [1.325, 1.340][1.325, 1.340]
    Mg x, satell[1.330, 1.340][1.330, 1.340]
    Mg , [1.335, 1.345][1.335, 1.350]
    Mg x, satell[1.350, 1.360][1.345, 1.360]
    Mg , [1.345, 1.360][1.345, 1.360]
    (keV)   Si , [1.830, 1.850][1.835, 1.855]
    Si xii, satell[1.840, 1.850][1.840, 1.855]
    Si , [1.850, 1.860][1.850, 1.860]
    Si , [1.850, 1.860][1.850, 1.860]
    Si , [1.850, 1.875][1.855, 1.875]
    (keV)[0.00, 2.50][0.00, 2.50]
    Table 2. The range of each parameter which needs to be marginalized in prior functions.
    ParametersEclipse
    ( )
    ()
    ()
    ()
    4.678.137.43
    Table 3. The best fitted continuum parameters in three different phases.
    W06
    IntensityFluxaFluxb
    Energy((Velocity(Velocity
    Elements (keV)(eV)))())()
    Mg ,
    Mg x, satell
    Mg ,
    Mg x, satell
    Mg ,
    Si ,
    Si xii, satell
    Si ,
    Si ,
    Si ,
    Table 4. The best fitted parameters for Mg xi and Si xiii He-like lines in phase of Eclipse.
    W06
    IntensityFluxaFluxb
    Energy((Velocity(Velocity
    Elements (keV)(eV)))())()
    Mg ,
    Mg x, satell
    Mg ,
    Mg x, satell
    Mg ,
    Si ,
    Si xii, satell
    Si ,
    Si ,
    Si ,
    Table 5. The best fitted parameters for Mg XI and Si XIII He-like lines for phase of .
    Fluxa  []
    Eclipse
    Z17b
    S99
    S02
    G04
    W06
    Table 6. The flux comparison with previous studies for .
    -ratio
    Z17 W06
    EclipseMg xi
    Si xiii
    Mg xi
    Si xiii
    Table 7. The comparison with previous studies for -ratios.
    Lan Zhang, Feilu Wang, Xiangxiang Xue, Dawei Yuan, Huigang Wei, Gang Zhao. Physical parameter estimation with MCMC from observations of Vela X-1[J]. High Power Laser Science and Engineering, 2018, 6(2): 02000e37
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