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There are few variables missing.
One is how long to you require to connect for without battery charging?
For the Basic (5/12)V*3A*8hr = 10Ahr Battery. I would at a minimum operate at 20Ahr for that configuration at it has a good power/weight operation.
I currently use 2 regulators to convert, one at 5V for RPi and 8V for my Canon Camera. Both are cheap eBay unit which some people have imported at a good cost into Australia. These though require a bit of additional casing additions.
Factor is you have taken the power consumption of the RPi 4 specification, have you included the mount, camera and any other peripherals into the calculation. The RPi 8G model I have only draws 1.2 amps @ 12V including the camera, mount and focus module so the battery consumption will be a lot less.
I was up until 2 days ago was going to run Astroberry, because I am using a Focuser that was developed only for Linux, but I had too many issues with PHD2 chacking wobblies that it is to much for me to play around with. Already missed opportunities to image properly. I am for the meantime going back to Windows operation so I can start imaging.
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