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Table A.1

Surface brightness relations using VJHKGGBPGRP-based colours.

C V J H K G BP RP
aV −0.1762±0.0014 −0.1397±0.001 −0.1336±0.0009 −0.7978±0.0293 1.5378±0.2234 −0.3469±0.0073
bV 3.9585±0.0017 3.959±0.0015 3.9572±0.0015 3.89±0.0059 4.086±0.0516 3.986±0.0053
RMS / 0.0045 0.0041 0.004 0.0204 0.0812 0.0118
x¯$\[\bar{x}\]$ 1.2329 1.5578 1.6157 0.1922 −0.2288 −0.2288
colour range 0.77,1.77 0.97,2.23 1.01,2.33 0.06,2.33 −0.43,2.33 0.46,2.33
N* 7 7 7 7 4 4
aJ 0.0777±0.0014 −0.3002±0.0049 −0.2432±0.0039 0.0974±0.0018 0.0678±0.0014 0.1525±0.0038
bJ 3.9601±0.0017 3.9624±0.0016 3.9576±0.0015 3.9662±0.002 3.963±0.0022 3.9448±0.0021
RMS 0.0046 / 0.0043 0.0043 0.0047 0.0051 0.006
x¯$\[\bar{x}\]$ −1.2329 0.3249 0.3828 −1.0701 −1.4911 −0.5429
colour range −1.77,-0.77 0.19,0.47 0.23,0.56 −1.45,-0.69 −2.08,-0.99 −0.79,-0.31
N* 7 7 7 4 4 4
aH 0.0407±0.0009 0.2032±0.0049 −0.9134±0.0399 0.0484±0.001 0.0365±0.0008 0.0663±0.0016
bH 3.9601±0.0014 3.9633±0.0016 3.9492±0.0024 3.963±0.0015 3.9617±0.0016 3.9532±0.0014
RMS 0.0041 0.0043 / 0.0071 0.0037 0.004 0.004
x¯$\[\bar{x}\]$ −1.5578 −0.3249 0.0579 −1.4013 −1.8223 −0.8741
colour range −2.23,-0.97 −0.47,-0.19 0.02,0.09 −1.91,-0.89 −2.53,-1.2 −1.25,-0.51
N* 7 7 7 4 4 4
aK 0.0343±0.0008 0.1449±0.0037 0.8523±0.0435 0.0403±0.0009 0.0308±0.0008 0.0541±0.0014
bK 3.9578±0.0013 3.9581±0.0014 3.9514±0.0026 3.9596±0.0014 3.9588±0.0015 3.9512±0.0013
RMS 0.0041 0.0043 0.0074 / 0.0036 0.0039 0.0039
x¯$\[\bar{x}\]$ −1.6157 −0.3828 −0.0579 −1.4581 −1.8792 −0.931
colour range −2.33,-1.01 −0.56,-0.23 −0.09,-0.02 −2.0,-0.92 −2.62,-1.24 −1.34,-0.55
N* 7 7 7 4 4 4
aG 0.7205±0.0311 −0.1963±0.0018 −0.1479±0.0011 −0.1398±0.001 0.45±0.0181 −0.543±0.0146
bG 3.8943±0.0062 3.9652±0.002 3.9625±0.0016 3.9591±0.0015 3.9448±0.0078 4.0414±0.0078
RMS 0.0211 0.0046 0.0037 0.0036 / 0.0197 0.0131
x¯$\[\bar{x}\]$ −0.1922 1.0701 1.4013 1.4581 −0.4211 0.5272
colour range −0.34,-0.06 0.69,1.45 0.89,1.91 0.92,2.0 −0.64,-0.26 0.37,0.67
N* 4 4 4 4 4 4
aBP −1.4042±0.1626 −0.1663±0.0014 −0.1357±0.0009 −0.13±0.0008 −0.5327±0.0169 −0.3001±0.003
bBP 4.0331±0.0376 3.961±0.0021 3.9604±0.0016 3.9574±0.0016 3.9375±0.0073 3.9977±0.0029
RMS 0.0692 0.0051 0.004 0.0039 0.0191 / 0.0061
x¯$\[\bar{x}\]$ 0.2288 1.4911 1.8223 1.8792 0.4211 0.9482
colour range 0.16,0.43 0.99,2.08 1.2,2.53 1.24,2.62 0.26,0.64 0.66,1.29
N* 4 4 4 4 4 4
aRP 0.256±0.0077 −0.2494±0.0037 −0.1655±0.0016 −0.1533±0.0014 0.4551±0.0153 0.2022±0.0031
bRP 3.9925±0.0056 3.9433±0.0021 3.9526±0.0014 3.9507±0.0014 4.0478±0.0081 3.9996±0.003
RMS 0.0122 0.0059 0.004 0.0039 0.0135 0.0062 /
x¯$\[\bar{x}\]$ −0.7194 0.5429 0.8741 0.931 −0.5272 −0.9482
colour range −1.0,-0.46 0.31,0.79 0.51,1.25 0.55,1.34 −0.67,-0.37 −1.29,-0.66
N* 4 4 4 4 4 4

Notes. For instance, the first line represents the combination of FV with the different colours: (V − J), (V − H), (V − K), (V − G), (V − GBP), (V − GRP). The SBCRs (Fλ1, magλ1-magλ2) are given with the following formalism: aλ1x + bλ1. The RMS, the mean colour, x¯$\[\bar{x}\]$, the colour range and the number of stars are also indicated for each combination of colours. SBCRs with a † in front of a and b are indicated for completeness but should be used in the context of the BW method.

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