Table 3
Sets of input parameters in TRILEGAL and the χ2 values of the Hess diagram comparisons.
Quantity | Unit | Set 1 | Set 2 | Set 3 | Set 4 | Set 5 | Besançon model | Just-Jahreiß model |
Default | Just-Jahreiß input | Besançon input | Jurić input | Optimization | ||||
|
||||||||
⟨ χ2 ⟩ ⋆ | – | 275.76 | 289.07 | 255.39 | 243.64 | 208.38 | 549.95 | – |
⟨ χ2 ⟩ | – | 151.98 | 214.65 | 207.60 | 137.88 | 104.19 | 408.15 | 4.31 |
Δmed | – | 0.3035 | 0.2993 | 0.3445 | 0.4639 | 0.2576 | 0.2724 | 0.0563 |
|
||||||||
z 0 | pc | 95.00 | 60.64 | 13.61 | 300.00 | 90.00 | – | – |
t 0 | Gyr | 4.4 | 0.7118 | 0.02016 | – | 4.4 | – | – |
α | – | 1.6666 | 0.7576 | 0.5524 | 0 | 1.3 | – | – |
h d,max | pc | 767 | 506 | 443 | 300 | 459 | – | 670 |
ρd(⊙ ) | M⊙ pc-3 | 0.0297 | 0.030 | 0.029 | – | 0.0394 | 0.037 | |
Σd(⊙ ) | M⊙ pc-2 | 59.00 | 49.36 | 25.20 | 17.40 | 50.00 | – | 29.4 |
form | – | sech2 | sech2 | exp | exp | sech2 | Einasto | – |
|
||||||||
h t | pc | – | 793 | 910 | 900 | 750 | – | 800 |
ρt(⊙ ) | M⊙ pc-3 | – | 0.0044 | 0.0015 | 0.0034 | 0.0014 | 0.00134 | 0.0022 |
Σt(⊙ ) | M⊙ pc-2 | – | 7.08 | 2.82 | 6.12 | 4.2 | 5.3 | |
form | – | – | exp | exp | exp | sech2 | cored exp | sech1.16 |
|
||||||||
reff/αh | pc/- | 2800 | 11 994 | 39 436 | 18 304 | 22 000 | –2.44 | –3.0 |
q h | – | 0.65 | 0.65 | 0.71 | 0.59 | 0.61 | 0.76 | 0.7 |
ρh(⊙ ) | M⊙ pc-3 | 0.00015 | 0.000158 | 0.00009 | 0.000145 | 0.0001 | 0.00000932 | 0.00015 |
Notes. Columns 1 and 2 list the parameters of each Galactic component in TRILEGAL and their units. Columns 3 to 7 list the adopted values of the five input sets for TRILEGAL. Set 1 is the default input of the web-based TRILEGAL interface. Set 2, 3, and 4 are from TRILEGAL fits with three models: Just & Jahreiß (2010), Robin et al. (2003), and Jurić et al. (2008). Set 5 (the last column) lists our best input set determined by the optimisation based on the results of Sets 1 to 4. We provide two mean χ2 values and one median absolute relative difference of the Hess diagram comparisons of the five input sets: ⟨ χ2 ⟩ ⋆ is with all stars covering the full colour range in the Hess diagram, ⟨ χ2 ⟩ is only stars with 0.2 < g − r < 1.2, Δmed gives each median value of the absolute relative difference between the data and the model covering only for stars with 0.2 < g − r < 1.2 in the Hess diagram. The scale-height parameters of the thin disc hd and the local thin disc’s density ρd(⊙ ) as well as the surface density Σd(⊙ ) are listed. ht is the scale height of the thick disc. ρt(⊙ ) and Σt(⊙ ) are the locally calibrated volume and surface densities of the thick disc. The reff is the effective radius of the halo along the major axis with an oblateness qh. The αh is the index in the power law of the halo profile. One value of reff and αh is adopted based on the form of the halo profile. The Ωh(⊙ ) is the local volume density of the halo. Columns 8 and 9 list the corresponding parameters of the Besançon and the Just-Jahreiß models for reference.
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