I didn’t get a 360 degree pic, but I did get an interesting similar shot of star trails when I was about jr. high school age. Got my dad’s Speed Graphic 2 1/4 x 3 1/4 on the tripod, climbed up on the roof of the house just after dusk and set it up. Opened the shutter, climbed back down and went to bed. Got up before dawn and climbed back up to close the shutter and get the camera off the roof.
When I developed the sheet of film - from a film pack, no less - I had a nice semi-circle of star trails. It was fascinating. Wish I still had that piece of film. Still got the camera, though. And the wooden tripod. [ grin ]
What if you left the camera set up for an entire year, pointed at the north star, and just opened up the shutter for a minute or so at the same time every night?