Free Access
Table A.2.
Meaning of the several parameters, variables, and indices used in this paper.
| Variable | Definition |
|---|---|
| α | Index to describe the colour dependence of the flux loss |
| β | Index to describe the along scan position dependence of the along scan flux loss |
| γ | Index to describe the AC centring error dependence of the AC flux loss |
| Δ | Total bandwidth in wavelength units |
| Δx | Across scan centring error |
| Δy | Along scan centring error |
| Δθ | Shift to transform pseudo-wavelength scale to the independent variable to describe Hermite functions |
| δ | Kronecker delta function |
| Φ | N × 1 matrix with all transformed source basis functions to a given calibration unit |
| φ | Source basis function |
 |
Source basis function transformed to a given calibration unit |
| κ | Calibration Unit |
| Λ | Line Spread Function |
| λ | Wavelength |
| λcuton | Cut-on wavelength of the Gaia passbands |
| λcutoff | Cut-off wavelength of the Gaia passbands |
| μ | Mean spectra scale |
| ν | Index to describe the AC velocity dependence of the AC flux loss |
| ω | Each of the parameters needed to describe the instrument |
| Ω | Number of parameters needed to describe the instrument |
| σ | Standard deviation |
| θ | Independent variable of the Hermite functions |
| Θ | Scaling parameter |
| A | Kernel to transform flux from mean scale to a given calibration unit |
| B | M × N matrix with all source coefficients for all internal calibrators |
| C | Hermite coefficients matrix |
| D | Relative dispersion with respect to nominal |
| E | Functions to describe the dependence of A with pseudo-wavelength |
| G | Gaia white light magnitude |
| GBP | Integrated blue Photometer magnitude |
| GRP | Integrated red Photometer magnitude |
| H | M × 1 matrix with epoch spectra in a given calibration unit for all internal calibrators |
| I | Instrument kernel function |
| J | Maximum number of neighbours at each side of the pseudo-wavelength to be predicted |
| K + 1 | Number of coefficients to describe the across dependence of the instrument |
| L + 1 | Total number of B functions |
| M | Number of internal calibration sources |
| N + 1 | Total number of source basis functions |
| Nα | Degree of the AL flux loss polynomial dependence with colour |
 |
Degree of the AC flux loss polynomial dependence with colour |
| Nβ | Degree of the AL flux loss polynomial dependence with AL centring error |
| Nγ | Degree of the AC flux loss polynomial dependence with AC centring error |
| Nν | Degree of the AC flux loss polynomial dependence with AC velocity |
| Nsrc | Number of sources |
| P | Along scan flux loss |
| Q | Across scan flux loss |
| R | Response function |
| S | Spectral Photon Distribution |
| Teff | Effective temperature |
| U | Number of pseudo-wavelengths sampling points |
| VC | Rotated matrix of the Hermite coefficients matrix |
| a | Allowed threshold for the standard deviation of r when truncating the source coefficients |
| b | Source coefficients |
| c | Coefficient to describe the dependence with pseudo-wavelength of the instrument |
| d | Coefficient to describe the across scan dependence of the instrument |
| h | Epoch spectrum |
| i | Index for the pixel |
| j | Index for the neighbour sample |
| k | Index for the across scan dependence of the instrument |
| l | Index for the B basis functions |
| m | Index for the internal calibration source |
| n | Index for the source basis function |
| n′ | Number of leading source basis functions selected during the truncation procedure |
| p | Coefficient to describe the along scan flux loss |
| q | Coefficient to describe the across scan flux loss |
| r | Normalised standard deviation of the source coefficients excluding basis functions |
| s | Index for the source. |
| t | Index for infinite number of neighbours |
| u | Pseudo-wavelength |
| vAC | Across scan velocity |
| x | Across scan position |
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.