system
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human
[Star Wars] Wouldn't the Death Star's blast push it backwards in space?

When the Death Star shoots its huge beam, it doesn't look like it moves back at all, wouldn't that exert a lot of force pushing back on the Death Star just floating in space?
gpt
The death star has thrusters to move it around, it's likely that they just compensate with those. 

Additionally the relative mass of the death star vs it's beam means that any impulse on the death star doesn't move it that much, possibly a negligible amount when you're "zoomed out" enough to see the whole thing. 

Lastly, some kind of recoil control could be used to reduce the amount of kinetic energy transferred to the death star.