9.6.3 The Final Photometry Flats

To make the final flats, the illumination correction was multiplied to the flats. To summarize in a hopefully understandable notation:

$$\mbox{flat(GR,1)} \mbox{sky\_flat(GR,2+)} \ast \mbox{ill.\_corr.(GR)} \ast \mbox{smooth}\left(\frac{\mbox{sky\_flat(GR,1)}}{\mbox{sky\_flat(GR,2+)}}\right)$$ = (9.21)

$$\mbox{flat(GR,2+)} \mbox{sky\_flat(GR,2+)} \ast \mbox{ill.\_corr.(GR)}$$ = (9.22)

$$\mbox{flat(JB,1)} \mbox{sky\_flat(JB,2+)} \ast \mbox{ill.\_corr.(JB)} \ast \mbox{smooth}\left(\frac{\mbox{sky\_flat(JB,1)}}{\mbox{sky\_flat(JB,2+)}}\right)$$ = (9.23)

$$\mbox{flat(JB,2+))} \mbox{sky\_flat(JB,2+)} \ast \mbox{ill.\_corr.(JB)}$$ = (9.24)

$$\mbox{flat(JU,1)} \mbox{sky\_flat(JU,2+)} \ast \mbox{smooth}\left(\frac{\mbox{sky\_flat(JU,1)}}{\mbox{sky\_flat(JU,2+)}}\right)$$ = (9.25)

$$\mbox{flat(JU,2+))} \mbox{sky\_flat(JU,2+)}$$ = (9.26)