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Sky model

A sky model is a representation of the positions, shapes, and brightness of radio-emitting sources on the sky, including their frequency-dependence.

Each source or component may include:

  • Position in right ascension (RA) and declination (Dec) in degrees, radians or sexagesimal hours, minutes and seconds.
  • Brightness (flux density) in Jansky for one or more Stokes parameters (I, Q, U, V).
  • Shape (for extended sources) specified as:
    • Width along major (longest) and minor (shortest) axes at full width half maximum (FWHM) in arcseconds
    • Orientation of the major axis in degrees eastward from North
  • Spectral index at a reference frequency (dimensionless), indicating whether the emission is synchrotron (negative) or thermal (positive).
  • Optionally, an association with a patch, representing a cluster of sources treated together (e.g. for direction-dependent calibration).

Representations

  • An image or image cube (pixel-based model).
  • A list or source catalog.

Role

A sky model represents an estimate of the true sky. It can be an existing model extracted from a sky survey database or an output of the image cleaning or source-finding process. It is used to:

  • Predict model visibilities for calibrating observed visibilities to remove corruptions.
  • Iteratively improve images produced via self-calibration.

Invariants

  • A sky model is defined with respect to a specific phase centre, coordinate frame and field of view.
  • Flux densities are expressed per Stokes parameter.
  • A sky model is valid only over the time and frequency range for which it was derived.
  • Each source belongs to at most one patch within a given sky model.