Sky2Pix_Molleweide#

class astropy.modeling.projections.Sky2Pix_Molleweide(*args, **kwargs)[source]#

Bases: Sky2PixProjection, PseudoCylindrical

Molleweide’s projection - sky to pixel.

Corresponds to the MOL projection in FITS WCS.

\[\begin{split}x &= \frac{2 \sqrt{2}}{\pi} \phi \cos \gamma \\ y &= \sqrt{2} \frac{180^\circ}{\pi} \sin \gamma\end{split}\]

where \(\gamma\) is defined as the solution of the transcendental equation:

\[\sin \theta = \frac{\gamma}{90^\circ} + \frac{\sin 2 \gamma}{\pi}\]