Studies . | |$R_{min}$| . | |$R_{max}$| . | Power-law index . | Data type . | Memo . |
---|---|---|---|---|---|
. | [kpc] . | [kpc] . | (scale length [kpc]) . | (model) . | . |
Guhathakurta et al. (2005) | 30 | 165 | |$-2.3$| | Spectroscopic | The south part of the M31 halo |
Irwin et al. (2005) | 20 | 55 | |$-2.3$| | Photometric | South-Eastern minor axis |
(14) | (Exponential) | ||||
Ibata et al. (2007) | 30–35 | 90–130 | |$-1.9\pm 0.12$| | Photometric | South-Eastern minor axis |
(31.6|$\pm$|1.0) | (Exponential) | ||||
(54.6|$\pm$|1.3) | (Hernquist) | ||||
90 | 130 | (45.1|$\pm$|6.0) | (Exponential) | ||
(53.1|$\pm$|3.5) | (Hernquist) | ||||
Tanaka et al. (2010) | 20 | 100 | |$-1.75\pm 0.13$| | Photometric | South-Eastern minor axis |
(22.4|$\pm$|2.3) | (Exponential) | ||||
(31.7|$\pm$|6.7) | (Hernquist) | ||||
20 | 100 | |$-2.17\pm 0.15$| | North-Western minor axis | ||
(18.8|$\pm$|1.8) | (Exponential) | ||||
(17.1|$\pm$|4.7) | (Hernquist) | ||||
Courteau et al. (2011) | 0 | 165 | |$-2.5\pm 0.2$| | Photometric and Spectroscopic | South-Eastern minor axis |
Williams et al. (2012) | 2 | 35 | |$-2.6^{+0.3}_{-0.2}$| | Photometric | Using the horizontal branch stars |
Gilbert et al. (2012) | 9 | 176 | |$-2.2\pm 0.2$| | Spectroscopic | Statistically removed substructures |
35 | 176 | |$-1.9\pm 0.4$| | All M31 stars | ||
9 | 90 | |$-2.2\pm 0.3$| | Statistically removed substructures | ||
Ibata et al. (2014) | 27 | 150 | |$-2.08\pm 0.02(\pm 0.12)$| | Photometric | Statistically removed substructures |
|$-2.5\lt [\mathrm{Fe/H}]\lt -1.7$| | |||||
27 | 150 | |$-2.13\pm 0.02(\pm 0.12)$| | Photometric | Statistically removed substructures | |
|$-1.7\lt [\mathrm{Fe/H}]\lt -1.1$| | |||||
27 | 150 | |$-2.66\pm 0.02(\pm 0.19)$| | Photometric | Statistically removed substructures | |
|$-1.1\lt [\mathrm{Fe/H}]\lt 0.0$| | |||||
This study | 14 | 110 | |$-1.65^{+0.02}_{-0.02}$| | The M31 halo entire region (radial profile) | |
(|$24.9^{+0.3}_{-0.3}$|) | (Exponential) | |$-2.5\lt [\mathrm{Fe/H}]\lt -1.7$| | |||
|$-2.10^{+0.01}_{-0.01}$| | |$-1.7\lt [\mathrm{Fe/H}]\lt -1.1$| | ||||
(|$18.7^{+0.1}_{-0.1}$|) | (Exponential) | ||||
|$-2.82^{+0.01}_{-0.01}$| | |$-1.1\lt [\mathrm{Fe/H}]\lt 0$| | ||||
(|$12.32^{+0.03}_{-0.03}$|) | (Exponential) | ||||
|$-2.44^{+0.01}_{-0.01}$| | |$-2.5\lt [\mathrm{Fe/H}]\lt 0$| | ||||
(|$14.99^{+0.04}_{-0.04}$|) | (Exponential) | ||||
14 | 110 | |$-1.32^{+0.07}_{-0.07}$| | South-Eastern minor axis | ||
(|$29.0^{+1.7}_{-1.5}$|) | (Exponential) | |$-2.5\lt [\mathrm{Fe/H}]\lt -1.7$| | |||
|$-1.50^{+0.05}_{-0.05}$| | |$-1.7\lt [\mathrm{Fe/H}]\lt -1.7$| | ||||
(|$24.8^{+0.9}_{-0.8}$|) | (Exponential) | ||||
|$-1.76^{+0.03}_{-0.03}$| | |$-1.1\lt [\mathrm{Fe/H}]\lt 0$| | ||||
(|$21.7^{+0.4}_{-0.4}$|) | (Exponential) | ||||
|$-1.61^{+0.02}_{-0.02}$| | |$-2.5\lt [\mathrm{Fe/H}]\lt 0$| | ||||
(|$23.4^{+0.4}_{-0.4}$|) | (Exponential) | ||||
14 | 110 | |$-1.28^{+0.05}_{-0.05}$| | North-Western minor axis | ||
(|$37.0^{+1.5}_{-2.4}$|) | (Exponential) | |$-2.5\lt [\mathrm{Fe/H}]\lt -1.7$| | |||
|$-1.65^{+0.03}_{-0.03}$| | |$-1.7\lt [\mathrm{Fe/H}]\lt -1.1$| | ||||
(|$28.5^{+0.6}_{-0.6}$|) | (Exponential) | ||||
|$-2.60^{+0.02}_{-0.02}$| | |$-1.1\lt [\mathrm{Fe/H}]\lt 0$| | ||||
(|$17.2^{+0.2}_{-0.2}$|) | (Exponential) | ||||
|$-2.05^{+0.02}_{-0.02}$| | |$-2.5\lt [\mathrm{Fe/H}]\lt 0$| | ||||
(|$22.1^{+0.2}_{-0.2}$|) | (Exponential) |
Studies . | |$R_{min}$| . | |$R_{max}$| . | Power-law index . | Data type . | Memo . |
---|---|---|---|---|---|
. | [kpc] . | [kpc] . | (scale length [kpc]) . | (model) . | . |
Guhathakurta et al. (2005) | 30 | 165 | |$-2.3$| | Spectroscopic | The south part of the M31 halo |
Irwin et al. (2005) | 20 | 55 | |$-2.3$| | Photometric | South-Eastern minor axis |
(14) | (Exponential) | ||||
Ibata et al. (2007) | 30–35 | 90–130 | |$-1.9\pm 0.12$| | Photometric | South-Eastern minor axis |
(31.6|$\pm$|1.0) | (Exponential) | ||||
(54.6|$\pm$|1.3) | (Hernquist) | ||||
90 | 130 | (45.1|$\pm$|6.0) | (Exponential) | ||
(53.1|$\pm$|3.5) | (Hernquist) | ||||
Tanaka et al. (2010) | 20 | 100 | |$-1.75\pm 0.13$| | Photometric | South-Eastern minor axis |
(22.4|$\pm$|2.3) | (Exponential) | ||||
(31.7|$\pm$|6.7) | (Hernquist) | ||||
20 | 100 | |$-2.17\pm 0.15$| | North-Western minor axis | ||
(18.8|$\pm$|1.8) | (Exponential) | ||||
(17.1|$\pm$|4.7) | (Hernquist) | ||||
Courteau et al. (2011) | 0 | 165 | |$-2.5\pm 0.2$| | Photometric and Spectroscopic | South-Eastern minor axis |
Williams et al. (2012) | 2 | 35 | |$-2.6^{+0.3}_{-0.2}$| | Photometric | Using the horizontal branch stars |
Gilbert et al. (2012) | 9 | 176 | |$-2.2\pm 0.2$| | Spectroscopic | Statistically removed substructures |
35 | 176 | |$-1.9\pm 0.4$| | All M31 stars | ||
9 | 90 | |$-2.2\pm 0.3$| | Statistically removed substructures | ||
Ibata et al. (2014) | 27 | 150 | |$-2.08\pm 0.02(\pm 0.12)$| | Photometric | Statistically removed substructures |
|$-2.5\lt [\mathrm{Fe/H}]\lt -1.7$| | |||||
27 | 150 | |$-2.13\pm 0.02(\pm 0.12)$| | Photometric | Statistically removed substructures | |
|$-1.7\lt [\mathrm{Fe/H}]\lt -1.1$| | |||||
27 | 150 | |$-2.66\pm 0.02(\pm 0.19)$| | Photometric | Statistically removed substructures | |
|$-1.1\lt [\mathrm{Fe/H}]\lt 0.0$| | |||||
This study | 14 | 110 | |$-1.65^{+0.02}_{-0.02}$| | The M31 halo entire region (radial profile) | |
(|$24.9^{+0.3}_{-0.3}$|) | (Exponential) | |$-2.5\lt [\mathrm{Fe/H}]\lt -1.7$| | |||
|$-2.10^{+0.01}_{-0.01}$| | |$-1.7\lt [\mathrm{Fe/H}]\lt -1.1$| | ||||
(|$18.7^{+0.1}_{-0.1}$|) | (Exponential) | ||||
|$-2.82^{+0.01}_{-0.01}$| | |$-1.1\lt [\mathrm{Fe/H}]\lt 0$| | ||||
(|$12.32^{+0.03}_{-0.03}$|) | (Exponential) | ||||
|$-2.44^{+0.01}_{-0.01}$| | |$-2.5\lt [\mathrm{Fe/H}]\lt 0$| | ||||
(|$14.99^{+0.04}_{-0.04}$|) | (Exponential) | ||||
14 | 110 | |$-1.32^{+0.07}_{-0.07}$| | South-Eastern minor axis | ||
(|$29.0^{+1.7}_{-1.5}$|) | (Exponential) | |$-2.5\lt [\mathrm{Fe/H}]\lt -1.7$| | |||
|$-1.50^{+0.05}_{-0.05}$| | |$-1.7\lt [\mathrm{Fe/H}]\lt -1.7$| | ||||
(|$24.8^{+0.9}_{-0.8}$|) | (Exponential) | ||||
|$-1.76^{+0.03}_{-0.03}$| | |$-1.1\lt [\mathrm{Fe/H}]\lt 0$| | ||||
(|$21.7^{+0.4}_{-0.4}$|) | (Exponential) | ||||
|$-1.61^{+0.02}_{-0.02}$| | |$-2.5\lt [\mathrm{Fe/H}]\lt 0$| | ||||
(|$23.4^{+0.4}_{-0.4}$|) | (Exponential) | ||||
14 | 110 | |$-1.28^{+0.05}_{-0.05}$| | North-Western minor axis | ||
(|$37.0^{+1.5}_{-2.4}$|) | (Exponential) | |$-2.5\lt [\mathrm{Fe/H}]\lt -1.7$| | |||
|$-1.65^{+0.03}_{-0.03}$| | |$-1.7\lt [\mathrm{Fe/H}]\lt -1.1$| | ||||
(|$28.5^{+0.6}_{-0.6}$|) | (Exponential) | ||||
|$-2.60^{+0.02}_{-0.02}$| | |$-1.1\lt [\mathrm{Fe/H}]\lt 0$| | ||||
(|$17.2^{+0.2}_{-0.2}$|) | (Exponential) | ||||
|$-2.05^{+0.02}_{-0.02}$| | |$-2.5\lt [\mathrm{Fe/H}]\lt 0$| | ||||
(|$22.1^{+0.2}_{-0.2}$|) | (Exponential) |
Studies . | |$R_{min}$| . | |$R_{max}$| . | Power-law index . | Data type . | Memo . |
---|---|---|---|---|---|
. | [kpc] . | [kpc] . | (scale length [kpc]) . | (model) . | . |
Guhathakurta et al. (2005) | 30 | 165 | |$-2.3$| | Spectroscopic | The south part of the M31 halo |
Irwin et al. (2005) | 20 | 55 | |$-2.3$| | Photometric | South-Eastern minor axis |
(14) | (Exponential) | ||||
Ibata et al. (2007) | 30–35 | 90–130 | |$-1.9\pm 0.12$| | Photometric | South-Eastern minor axis |
(31.6|$\pm$|1.0) | (Exponential) | ||||
(54.6|$\pm$|1.3) | (Hernquist) | ||||
90 | 130 | (45.1|$\pm$|6.0) | (Exponential) | ||
(53.1|$\pm$|3.5) | (Hernquist) | ||||
Tanaka et al. (2010) | 20 | 100 | |$-1.75\pm 0.13$| | Photometric | South-Eastern minor axis |
(22.4|$\pm$|2.3) | (Exponential) | ||||
(31.7|$\pm$|6.7) | (Hernquist) | ||||
20 | 100 | |$-2.17\pm 0.15$| | North-Western minor axis | ||
(18.8|$\pm$|1.8) | (Exponential) | ||||
(17.1|$\pm$|4.7) | (Hernquist) | ||||
Courteau et al. (2011) | 0 | 165 | |$-2.5\pm 0.2$| | Photometric and Spectroscopic | South-Eastern minor axis |
Williams et al. (2012) | 2 | 35 | |$-2.6^{+0.3}_{-0.2}$| | Photometric | Using the horizontal branch stars |
Gilbert et al. (2012) | 9 | 176 | |$-2.2\pm 0.2$| | Spectroscopic | Statistically removed substructures |
35 | 176 | |$-1.9\pm 0.4$| | All M31 stars | ||
9 | 90 | |$-2.2\pm 0.3$| | Statistically removed substructures | ||
Ibata et al. (2014) | 27 | 150 | |$-2.08\pm 0.02(\pm 0.12)$| | Photometric | Statistically removed substructures |
|$-2.5\lt [\mathrm{Fe/H}]\lt -1.7$| | |||||
27 | 150 | |$-2.13\pm 0.02(\pm 0.12)$| | Photometric | Statistically removed substructures | |
|$-1.7\lt [\mathrm{Fe/H}]\lt -1.1$| | |||||
27 | 150 | |$-2.66\pm 0.02(\pm 0.19)$| | Photometric | Statistically removed substructures | |
|$-1.1\lt [\mathrm{Fe/H}]\lt 0.0$| | |||||
This study | 14 | 110 | |$-1.65^{+0.02}_{-0.02}$| | The M31 halo entire region (radial profile) | |
(|$24.9^{+0.3}_{-0.3}$|) | (Exponential) | |$-2.5\lt [\mathrm{Fe/H}]\lt -1.7$| | |||
|$-2.10^{+0.01}_{-0.01}$| | |$-1.7\lt [\mathrm{Fe/H}]\lt -1.1$| | ||||
(|$18.7^{+0.1}_{-0.1}$|) | (Exponential) | ||||
|$-2.82^{+0.01}_{-0.01}$| | |$-1.1\lt [\mathrm{Fe/H}]\lt 0$| | ||||
(|$12.32^{+0.03}_{-0.03}$|) | (Exponential) | ||||
|$-2.44^{+0.01}_{-0.01}$| | |$-2.5\lt [\mathrm{Fe/H}]\lt 0$| | ||||
(|$14.99^{+0.04}_{-0.04}$|) | (Exponential) | ||||
14 | 110 | |$-1.32^{+0.07}_{-0.07}$| | South-Eastern minor axis | ||
(|$29.0^{+1.7}_{-1.5}$|) | (Exponential) | |$-2.5\lt [\mathrm{Fe/H}]\lt -1.7$| | |||
|$-1.50^{+0.05}_{-0.05}$| | |$-1.7\lt [\mathrm{Fe/H}]\lt -1.7$| | ||||
(|$24.8^{+0.9}_{-0.8}$|) | (Exponential) | ||||
|$-1.76^{+0.03}_{-0.03}$| | |$-1.1\lt [\mathrm{Fe/H}]\lt 0$| | ||||
(|$21.7^{+0.4}_{-0.4}$|) | (Exponential) | ||||
|$-1.61^{+0.02}_{-0.02}$| | |$-2.5\lt [\mathrm{Fe/H}]\lt 0$| | ||||
(|$23.4^{+0.4}_{-0.4}$|) | (Exponential) | ||||
14 | 110 | |$-1.28^{+0.05}_{-0.05}$| | North-Western minor axis | ||
(|$37.0^{+1.5}_{-2.4}$|) | (Exponential) | |$-2.5\lt [\mathrm{Fe/H}]\lt -1.7$| | |||
|$-1.65^{+0.03}_{-0.03}$| | |$-1.7\lt [\mathrm{Fe/H}]\lt -1.1$| | ||||
(|$28.5^{+0.6}_{-0.6}$|) | (Exponential) | ||||
|$-2.60^{+0.02}_{-0.02}$| | |$-1.1\lt [\mathrm{Fe/H}]\lt 0$| | ||||
(|$17.2^{+0.2}_{-0.2}$|) | (Exponential) | ||||
|$-2.05^{+0.02}_{-0.02}$| | |$-2.5\lt [\mathrm{Fe/H}]\lt 0$| | ||||
(|$22.1^{+0.2}_{-0.2}$|) | (Exponential) |
Studies . | |$R_{min}$| . | |$R_{max}$| . | Power-law index . | Data type . | Memo . |
---|---|---|---|---|---|
. | [kpc] . | [kpc] . | (scale length [kpc]) . | (model) . | . |
Guhathakurta et al. (2005) | 30 | 165 | |$-2.3$| | Spectroscopic | The south part of the M31 halo |
Irwin et al. (2005) | 20 | 55 | |$-2.3$| | Photometric | South-Eastern minor axis |
(14) | (Exponential) | ||||
Ibata et al. (2007) | 30–35 | 90–130 | |$-1.9\pm 0.12$| | Photometric | South-Eastern minor axis |
(31.6|$\pm$|1.0) | (Exponential) | ||||
(54.6|$\pm$|1.3) | (Hernquist) | ||||
90 | 130 | (45.1|$\pm$|6.0) | (Exponential) | ||
(53.1|$\pm$|3.5) | (Hernquist) | ||||
Tanaka et al. (2010) | 20 | 100 | |$-1.75\pm 0.13$| | Photometric | South-Eastern minor axis |
(22.4|$\pm$|2.3) | (Exponential) | ||||
(31.7|$\pm$|6.7) | (Hernquist) | ||||
20 | 100 | |$-2.17\pm 0.15$| | North-Western minor axis | ||
(18.8|$\pm$|1.8) | (Exponential) | ||||
(17.1|$\pm$|4.7) | (Hernquist) | ||||
Courteau et al. (2011) | 0 | 165 | |$-2.5\pm 0.2$| | Photometric and Spectroscopic | South-Eastern minor axis |
Williams et al. (2012) | 2 | 35 | |$-2.6^{+0.3}_{-0.2}$| | Photometric | Using the horizontal branch stars |
Gilbert et al. (2012) | 9 | 176 | |$-2.2\pm 0.2$| | Spectroscopic | Statistically removed substructures |
35 | 176 | |$-1.9\pm 0.4$| | All M31 stars | ||
9 | 90 | |$-2.2\pm 0.3$| | Statistically removed substructures | ||
Ibata et al. (2014) | 27 | 150 | |$-2.08\pm 0.02(\pm 0.12)$| | Photometric | Statistically removed substructures |
|$-2.5\lt [\mathrm{Fe/H}]\lt -1.7$| | |||||
27 | 150 | |$-2.13\pm 0.02(\pm 0.12)$| | Photometric | Statistically removed substructures | |
|$-1.7\lt [\mathrm{Fe/H}]\lt -1.1$| | |||||
27 | 150 | |$-2.66\pm 0.02(\pm 0.19)$| | Photometric | Statistically removed substructures | |
|$-1.1\lt [\mathrm{Fe/H}]\lt 0.0$| | |||||
This study | 14 | 110 | |$-1.65^{+0.02}_{-0.02}$| | The M31 halo entire region (radial profile) | |
(|$24.9^{+0.3}_{-0.3}$|) | (Exponential) | |$-2.5\lt [\mathrm{Fe/H}]\lt -1.7$| | |||
|$-2.10^{+0.01}_{-0.01}$| | |$-1.7\lt [\mathrm{Fe/H}]\lt -1.1$| | ||||
(|$18.7^{+0.1}_{-0.1}$|) | (Exponential) | ||||
|$-2.82^{+0.01}_{-0.01}$| | |$-1.1\lt [\mathrm{Fe/H}]\lt 0$| | ||||
(|$12.32^{+0.03}_{-0.03}$|) | (Exponential) | ||||
|$-2.44^{+0.01}_{-0.01}$| | |$-2.5\lt [\mathrm{Fe/H}]\lt 0$| | ||||
(|$14.99^{+0.04}_{-0.04}$|) | (Exponential) | ||||
14 | 110 | |$-1.32^{+0.07}_{-0.07}$| | South-Eastern minor axis | ||
(|$29.0^{+1.7}_{-1.5}$|) | (Exponential) | |$-2.5\lt [\mathrm{Fe/H}]\lt -1.7$| | |||
|$-1.50^{+0.05}_{-0.05}$| | |$-1.7\lt [\mathrm{Fe/H}]\lt -1.7$| | ||||
(|$24.8^{+0.9}_{-0.8}$|) | (Exponential) | ||||
|$-1.76^{+0.03}_{-0.03}$| | |$-1.1\lt [\mathrm{Fe/H}]\lt 0$| | ||||
(|$21.7^{+0.4}_{-0.4}$|) | (Exponential) | ||||
|$-1.61^{+0.02}_{-0.02}$| | |$-2.5\lt [\mathrm{Fe/H}]\lt 0$| | ||||
(|$23.4^{+0.4}_{-0.4}$|) | (Exponential) | ||||
14 | 110 | |$-1.28^{+0.05}_{-0.05}$| | North-Western minor axis | ||
(|$37.0^{+1.5}_{-2.4}$|) | (Exponential) | |$-2.5\lt [\mathrm{Fe/H}]\lt -1.7$| | |||
|$-1.65^{+0.03}_{-0.03}$| | |$-1.7\lt [\mathrm{Fe/H}]\lt -1.1$| | ||||
(|$28.5^{+0.6}_{-0.6}$|) | (Exponential) | ||||
|$-2.60^{+0.02}_{-0.02}$| | |$-1.1\lt [\mathrm{Fe/H}]\lt 0$| | ||||
(|$17.2^{+0.2}_{-0.2}$|) | (Exponential) | ||||
|$-2.05^{+0.02}_{-0.02}$| | |$-2.5\lt [\mathrm{Fe/H}]\lt 0$| | ||||
(|$22.1^{+0.2}_{-0.2}$|) | (Exponential) |
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