What are you running it (starlink) off? Solar power going into a battery bank and then running it directly off the battery pack into the satellite? Does it move or is it stationary? I cannot think why it would use as much energy as you say because if it does not have a motor it should just be pointing at the satellite and if that does not move it just sends the connection back. If it has a motor and follows the satellite I can see why it would use a lot of energy.
the dish has motors (3 axis i think.. ) and does change. ive seen it pointing to varying degrees north and east as well as change its azmith (may have those terms wrong)
anyway it does move, and there seems to be no real pattern. but as long as it works..
btw my starlink and the rest of the network stack are on a UPS. and i highly recommend a UPS at LEAST for the startlink. turns out if you power it off and on 3 times in a row it resets to a blank password and anyone can then take over your starlink. as starlink didnt bother with a dedicated hard reset switch on the router. so 3 power cycles is how it done. so of course 3 power glitches in short succession is faily common around here. doh.. gotta wonder sometimes. great tech but the occasional horrid implementation.
typical good gear bad soft ware.
what UPS do you own? there are some good ones out there. with additional battery to add to it.