Why not put one of those apple things on your cat lol@gee
you wanna design a couple of low-power rf beacons that can be directionally tracked out to a 800ft range or so (only half joking)
Requirements: 1x1x3/4ish dimensions, water resistant, 1 month battery life, directional finding
Commercial equivalent products that are awesome when they work, but super shittily made.
Amazon product ASIN B015E6Q06WTabcat Cat Tracker - Easily find and protect your cat
Tabcat is a revolutionary cat-tracking device that lets you keep on top of the whereabouts of your pet. Attaching easily to your cat’s collar, the device is lightweight but robust enough to stay on whatever they get up to.www.tabcat.com
and this old ham radio dude that made his own product, that is probably awesome, but costs half a grand
rx_store
www.com-spec.com
Airtag! Airtag your catto