Pix2Sky_Molleweide

class astropy.modeling.projections.Pix2Sky_Molleweide(*args, **kwargs)[source]

Bases: Pix2SkyProjection, PseudoCylindrical

Molleweide’s projection - pixel to sky.

Corresponds to the MOL projection in FITS WCS.

\[\begin{split}\phi &= \frac{\pi x}{2 \sqrt{2 - \left(\frac{\pi}{180^\circ}y\right)^2}} \\ \theta &= \sin^{-1}\left( \frac{1}{90^\circ}\sin^{-1}\left(\frac{\pi}{180^\circ}\frac{y}{\sqrt{2}}\right) + \frac{y}{180^\circ}\sqrt{2 - \left(\frac{\pi}{180^\circ}y\right)^2} \right)\end{split}\]