resolution $\Delta\theta$ (FWHM)                            $33\farcm4$         $26\farcm8$         $13\farcm1$          $9\farcm2$          $7\farcm1$          $5\farcm0$          $5\farcm0$          $5\farcm0$          $5\farcm0$
  noise level $\sigma_\mathrm{N}$                       1.01 [[*m*]{}K]{}   0.49 [[*m*]{}K]{}   0.29 [[*m*]{}K]{}   5.67 [[*m*]{}K]{}   4.89 [[*m*]{}K]{}   6.05 [[*m*]{}K]{}   6.80 [[*m*]{}K]{}   3.08 [[*m*]{}K]{}   4.49 [[*m*]{}K]{}
  thermal SZ-flux ${\langle}S_\mathcal{Y}{\rangle}$              -12.2 Jy            -24.8 Jy            -53.6 Jy            -82.1 Jy            -88.8 Jy             -0.7 Jy            146.0 Jy             76.8 Jy              5.4 Jy
  kinetic SZ-flux ${\langle}S_\mathcal{W}{\rangle}$                6.2 Jy             13.1 Jy             30.6 Jy             55.0 Jy             86.9 Jy            110.0 Jy             69.1 Jy             15.0 Jy              0.5 Jy
  antenna temperature $\Delta T_\mathcal{Y}$            -440 [[*n*]{}K]{}   -417 [[*n*]{}K]{}   -356 [[*n*]{}K]{}   -267 [[*n*]{}K]{}   -141 [[*n*]{}K]{}   -0.5 [[*n*]{}K]{}     38 [[*n*]{}K]{}    8.4 [[*n*]{}K]{}    0.2 [[*n*]{}K]{}
  antenna temperature $\Delta T_\mathcal{W}$             226 [[*n*]{}K]{}    220 [[*n*]{}K]{}    204 [[*n*]{}K]{}    179 [[*n*]{}K]{}    138 [[*n*]{}K]{}     76 [[*n*]{}K]{}     18 [[*n*]{}K]{}    1.6 [[*n*]{}K]{}   0.02 [[*n*]{}K]{}

Beam shapes {#planck_beamshape}
-----------

\[sect\_beam\] The beam shapes of [[*Planck*]{}]{} are well described by azimuthally symmetric Gaussians $b(\theta) = 
\frac{1}{2\pi\sigma_\theta^2}\exp\left(-\frac{\theta^2}{2\sigma_\theta^2}\right)$ with $\sigma_\theta = 
\frac{\Delta\theta}{\sqrt{8\ln(2)}}$. The residuals from the ideal Gaussian shape (ellipticity, higher order distortions, diffraction rings, far-side lobes, pick-up of stray-light) are expected not to exceed the percent level and are neglected for the purpose of this work. Table \[table\_planck\_channel\] gives the angular resolution $\Delta\theta$ in terms of FWHM of each [[*Planck*]{}]{}-channel for reference.

Scanning strategy and noise-equivalent maps {#planck_scannoise}
