Map projections used for star maps
I'm working on a star map program and I'm wondering what are the most common map projections used to print star maps...? I want to map of the entire visible sky from a certain point on the surface of Earth. I have all the visible stars and their Altitude-Azimuth, but I need to map this semi-sphere onto a circle in 2D.
I'd like to get something like this:
I've been playing around with equidistant and gnomonic (-1 RE) projections but they feel too distorted. What are the most common projections used for 2D, circular, entire-visible-sky star maps?
The stereographic projection
is commonly used for all-sky maps
As distance from the center of the map increases,
constellations grow larger but keep their shapes.
@Mr_LinDowsMac Yes, if you can accept a slightly curved horizon. If the view is very wide, a cylindrical projection may be a better choice.
I found some of your projections here: https://armchairastronautics.blogspot.com/p/skymap.html, and allows to set a horizon marker in some of them. I tried with cyllindrical stereographic, but the problem is to find the right amount of zoom of naked eye user view, there is no FOV field settting.