# Sky2Pix_ConicOrthomorphic¶

class astropy.modeling.projections.Sky2Pix_ConicOrthomorphic(*args, **kwargs)[source]

Conic orthomorphic projection - sky to pixel.

Corresponds to the COO projection in FITS WCS.

See Conic for a description of the entire equation.

The projection formulae are:

$\begin{split}C &= \frac{\ln \left( \frac{\cos\theta_2}{\cos\theta_1} \right)} {\ln \left[ \frac{\tan\left(\frac{90^\circ-\theta_2}{2}\right)} {\tan\left(\frac{90^\circ-\theta_1}{2}\right)} \right] } \\ R_\theta &= \psi \left[ \tan \left( \frac{90^\circ - \theta}{2} \right) \right]^C \\ Y_0 &= \psi \left[ \tan \left( \frac{90^\circ - \theta_a}{2} \right) \right]^C\end{split}$

where:

$\psi = \frac{180^\circ}{\pi} \frac{\cos \theta} {C\left[\tan\left(\frac{90^\circ-\theta}{2}\right)\right]^C}$
Parameters:
sigmafloat

$$(\theta_1 + \theta_2) / 2$$, where $$\theta_1$$ and $$\theta_2$$ are the latitudes of the standard parallels, in degrees. Default is 90.

deltafloat

$$(\theta_1 - \theta_2) / 2$$, where $$\theta_1$$ and $$\theta_2$$ are the latitudes of the standard parallels, in degrees. Default is 0.