The WCS information written at the telescope is only approximate. It has the following characteristics:
  • Tangent plane projection. This projection does not properly account for the distortion introduced by the refractive corrector.
  • RA and Dec center values are read from the telescope. This may be in error by an arcsecond or two if the collimation of the telescope drifts or was not initialized properly.
  • Position angle. The rotator angle is observed to have a 0.5 degree error relative to what is expected nominally. The actual position angle is 0.5 less than what is written in the header.
  • Chip locations. The header contains the nominal locations of all the CCDs in the mosaic. In practice each chip is a few pixels off from the nominal location.
  • Nominal pixel scale. Actual pixel scale will be affected by refraction effects.

    The initial WCS is adequate for object identification, but not for precision astrometry.

    The final WCS has the following characteristics

  • Uses the ZPN projection described in Calabretta et al XXX. This is a projection uses a polynomial to convert from angle on the sky to position on the focal plane. The polynomial coefficients were derived from the optical design of the MMT Wide Field corrector. We have seen no evidence that this representation is insufficient. The downside to the ZPN projection is that it is not understood by IRAF. However, swarp and sextractor both understand the ZPN projection (after patching). If anyone knows of a polynomial representation that is understood both by ds9 and by IRAF, please let me know.
  • The chip positions are set to a set of pre-determined positions.
  • All 6 members of the CD matrix are solved for, namely the image center, rotation, pixel scale and shear terms. This solution is determined globally for the entire mosaic We assume that the geometry of the focal plane is stable and thus we don't need a large number of stars on each chip. In practice we achieve fits to the 2Mass catalog with 0.13" RMS -- at the level of the catalog.

    The nuts and bolts of WCS determination. The wcs determination has 3 steps:

  • 1. Run the IRAF script fixmosaic. This corrects the rotator angle, and if necessary any gross error in the image center.
  • 2. Run the IRAF script zpn. This changes the CTYPEn header keywords from TAN to ZPN to complete the WCS installation.
  • 3. Run the megawcs script. This script runs SExtractor, matches the stars to a catalog, and then determines WCS parameters and writes them into the header. megawcs details