Solar Eclipse: How it occurs
For a small region not far from the equator,
an equirectangular projection will do.
If you want celestial north to be up,
declination should increase from bottom to top,
and right ascension should increase from right to left.
To correct the aspect ratio, scale the RA axis by cos(dec).
Then the sun and moon are circles of the respective angular radii, without the RA scale factor.

In the equation for $z$, $\Delta$ is the declination of the sun, $\delta$ is the declination of the moon, and $a$ is the difference in their right ascensions.