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Table 2.
Notation used in this paper.
| Symbol | Name | Description/Reference |
|---|---|---|
| G | Very broad band photometric magnitude | Obtained directly from Gaia EDR3 |
| GBP − GRP | Photometric color | Obtained directly from Gaia EDR3 |
| G′ | Corrected G | Weiler et al. (in prep.) |
 |
Corrected GBP | Weiler et al. (in prep.) |
 |
Corrected GRP | Weiler et al. (in prep.) |
| C* | Corrected color excess factor | Eq. (6) in Riello et al. (2021) |
| ϖ | Individual parallax | Obtained directly from Gaia EDR3 |
| RUWE | Renormalized Unit Weight Error | Obtained directly from Gaia EDR3 |
| ZEDR3 | Parallax zero point | Lindegren et al. (2021b) and companion paper |
| ϖc | Individual corrected parallax | ϖ − ZEDR3, Maíz Apellániz et al. (2021e) |
| σint | Individual parallax/proper motion internal uncertainty | Obtained directly from Gaia EDR3 |
| σs | Individual parallax/proper motion systematic uncertainty | 10.3 μas for parallaxes, Maíz Apellániz et al. (2021e) |
| 23 μas/a for proper motions, Lindegren et al. (2021a) | ||
| k | Multiplicative constant for parallax/proper motion uncertainties | 1.1–2.7 depending on G, Maíz Apellániz et al. (2021e) and companion paper |
| σext | Individual parallax/proper motion external uncertainty |  , Maíz Apellániz et al. (2021e) |
| Nf | Number of Gaia EDR3 sources in the field | Table A.1, Villafranca I |
| α, δ | Filtering center J2000 Equatorial coordinates | Table A.1, Villafranca I |
| r | Filtering separation from the center in the plane of the sky | Table A.1, Villafranca I |
| μα*,μδ | Filtering central proper motion | Table A.1, Villafranca I |
| rμ | Filtering separation from the center in proper motion | Table A.1, Villafranca I |
 |
Filtering color displacement with respect to isochrone | Table A.1, Villafranca I |
 |
Filtering maximum corrected G magnitude | Table A.1 |
| N*, 0 | Number of stars in group before normalized parallax filtering | Table A.2, Villafranca I |
| N* | Number of stars in group after normalized parallax filtering | Table A.2, Villafranca I |
| tϖ | Normalized χ2 test for the group parallax | Table A.2, Villafranca 0 |
| tμα* | Normalized χ2 test for the group proper motion in α | Table A.2, Villafranca 0 |
| tμδ | Normalized χ2 test for the group proper motion in δ | Table A.2, Villafranca 0 |
| ϖg | Group parallax | Table A.2, Eq. (5) in Maíz Apellániz et al. (2021e) |
| σϖg | Group parallax uncertainty | Table A.2, Eq. (7) in Maíz Apellániz et al. (2021e) |
| μα * ,g | Group proper motion in α | Table A.2, Villafranca 1 |
| μδ, g | Group proper motion in δ | Table A.2, Villafranca 1 |
| d | Group distance | Table A.2, Maíz Apellániz (2001, 2005), |
| Maíz Apellániz et al. (2008) | ||
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