In StarCraft II, the Terran Dominion is headquartered on Korhal.
Korhal is the homeworld of Arcturus Mengsk and the political center of the Dominion. The planet has a long history of rebellion: the Confederacy devastated it with nuclear weapons after an uprising, and Mengsk later used its history as part of his revolutionary identity.
By StarCraft II, Korhal has become the seat of imperial power. Its capital city, Augustgrad, represents the Dominion’s wealth, military authority, and propaganda machine. The planet is therefore both a personal symbol for Mengsk and a strategic center for the Terran faction.
Tarsonis was the Confederate capital before its destruction. Mar Sara is Raynor’s frontier starting point, while Char is strongly associated with the Zerg. These worlds are frequently mentioned together but serve different political and narrative roles.