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Table C.2

Coefficients of the transformation polynomials derived between the HIPPARCOS, Tycho-2, SDSS12, Johnson-Cousins, 2MASS systems, and that of Gaia EDR3.

HIPPARCOS relationships
B - V (B - V)2 (B - V)3 σ
G − Hp −0.02392 –0.4069 0.04569 –0.0452 0.02417
V - I (V - I)2 (V - I)3 σ
G − Hp 0.01546 –0.4308 –0.01872 0.08191
GBP − Hp −0.02696 0.1086 −0.009148 0.004715 0.06
GRP − Hp −0.006437 –1.194 0.09962 0.1024
GBP − GRP −0.01612 1.274 –0.08143 0.082
GBP −GRP σ
G − Hp −0.01008 –0.2309 –0.1300 0.01894 0.06066
Tycho-2 relationships
BT - VT σ
G − VT −0.01072 –0.2870 0.05807 –0.06791 0.06084
GBP − VT −0.01868 0.2682 –0.1366 0.01272 0.04127
GRP − VT −0.04424 –1.197 0.4948 –0.1757 0.09359
GBP − GRP 0.02621 1.458 –0.6176 0.1817 0.06834
GBP −GRP σ
G − VT −0.01077 –0.0682 –0.2387 0.02342 0.05350
G − BT −0.004288 –0.8547 0.1244 –0.9085 0.4843 –0.06814 0.07063
SDSS12 relationships
g - i (g - i)2 (g - i)3 σ
G − g −0.1064 –0.4964 –0.09339 0.004444 0.0872
GBP − g 0.06213 –0.2059 -0.06478 0.007264 0.02944
GRP − g −0.3306 –0.9847 –0.02874 0.002112 0.04958
GBP − GRP 0.3971 0.777 –0.04164 0.008237 0.03846
r - i (r - i)2 (r - i)3 σ
G − r −0.01664 0.2662 –0.649 0.08227 0.123
G − i −0.01066 1.298 –0.7595 0.1492 0.07112
GBP −GRP σ
G − r −0.09837 0.08592 0.1907 -0.1701 0.02263 0.03776
G − i −0.293 0.6404 –0.09609 −0.002104 0.04092
G − g 0.2199 -0.6365 –0.1548 0.0064 0.0745
Johnson-Cousins relationships
V - IC σ
G − V −0.01597 −0.02809 –0.2483 0.03656 –0.002939 0.0272
GBP − V −0.0143 0.3564 –0.1332 0.01212 0.0371
GRP − V 0.01868 –0.9028 –0.005321 –0.004186 0.03784
GBP − GRP −0.03298 1.259 –0.1279 0.01631 0.04459
V - R (V - R)2 (V - R)3 σ
G − V −0.03088 –0.04653 –0.8794 0.1733 0.0352
B - V (B - V)2 (B - V)3 σ
G − V −0.04749 –0.0124 –0.2901 0.02008 0.04772
GBP −GRP σ
G − V −0.02704 0.01424 –0.2156 0.01426 0.03017
G − R −0.02275 0.3961 –0.1243 –0.01396 0.003775 0.03167
G − IC 0.01753 0.76 –0.0991 0.03765
2MASS relationships
H - KS σ
G − KS 0.5594 11.09 3.040 0.3743
GBP − KS 0.5922 15.36 1.691 0.499
GRP − KS 0.1882 10.3 –3.976 0.2956
GBP − GRP 0.1836 8.456 −3.781 0.2361
GBP −GRP σ
G − KS −0.0981 2.089 –0.1579 0.08553
G − H −0.1048 2.011 –0.1758 0.07805
G − J 0.01798 1.389 –0.09338 0.04762
J - KS σ
G − KS 0.1683 3.803 –1.45 0.7867 0.1309
GBP − KS 0.1777 5.28 –4.384 4.451 –1.273 0.174
GRP − KS 0.08089 2.655 –1.488 1.618 –0.5068 0.07997
GBP − GRP 0.09396 2.581 –2.782 2.788 −0.8027 0.09668

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