How is the unrest thing working?
I have 490m pop on Luna unrest is rising there, but how to turn Luna into a "core" world?
I dont need any soldiers on Earth (got 1000 there) but there are no unrest there. i got 5000 on Luna but Luna also got its own ground troop complex so i can just make new soldiers there.
The answer is
why is your unrest increasing? Is due to lack of PPV? Put some units in orbit with weapons on them. (PPV is determined solely by tonnage of weapons -- civilians don't care about armour or sensors or fire control or even about tech level. One big barrel is just as good as any other.)
Is it due to overcrowding life support? Ship in some infrastructure, quick. (Or ship out some people.)
Is it due to un(der)employment? Create (or import) some more industry.
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Regardless of the source of the unrest, masses of ground troops will suppress it. The effect is based on number of units, not combat strength, so use many infantry instead of a few big STO or heavy bombardment units.