The Empire in this world has plenty of space stations - they make up a good 2% of the total livable space of the Empire, and there’s at minimum one per colonized planet but usually many more. Most are civilian habitation and commercial, so that miners can live near the mines even if there isn’t an actual habitable planet or moon nearby (turns a 12-hour commute by FTL busing to a 30-minute flight from the station to the ground). These civilian stations are usually equipped with spin-gravity and placed in low orbits, with constant nuclear-thermal propulsion systems running to avoid orbital decay, with the intent that both a) every spot on the celestial primary is swept over by the station every so often so that people from all over the world can reach the station by space-bus easily and b) people from the station can enjoy easy and fast access to supplies from the surface.
Military installations also exist; these are usually equipped with orbital surveillance and weapons systems so that threats from the planet’s surface can be identified and dealt with quickly, and so that threats arriving from interplanetary space can be intercepted and destroyed before they threaten the planet below (with civilian stations also having limited planetary defense capability if a small asteroid or simple thief stops by, but not enough to repel a larger moonlet or invasion fleet like the military outposts above).
For plot reasons, one of the main aspects of the military installations is that, once they sustain enough damage, they fall towards the planet and are destroyed for good. These are massive stations, the size of small cities and equipped with plenty of railcannons and astronaut-boiling lasers, and which can call on the support of the Imperial fleet in a matter of minutes, but if a decisive blow is dealt to a station before it can launch a counterattack or otherwise stop itself from being destroyed, it falls down to the planet after being destroyed, in a matter of hours to weeks or perhaps months.
This is plot-consistent throughout the world and story; the question is, in the context of a space station built in a very high orbit around a planet, why this would happen. Things in high orbits tend to stay in high orbits with nothing to slow them down, and while these military stations are heavily armored, they can certainly be destroyed without imparting enough momentum to physically stop them in their tracks around the planet.
Why do high-orbit military installations fall down after being destroyed?