If orbital mechanics - how?

https://preview.redd.it/s7h1u4wuutke1.png?width=2560&format=png&auto=webp&s=4235850148bf03c922973f3e3e82b9a8a5aa0ce8

To y'all space nerds out there: if this game had proper orbital mechanics with the destroyers actually orbiting the planets, how would it be implemented?

The destroyers would most likely be in geostationary orbit, but how would they shoot down strategems? If they shot them retrograde to cancel out the velocity, they would fall towards the planet, but it would take at least several minutes before the shells landed. To shoot strategems straight down, they would have to be shot at a tremendeous amount of deltaV, which again would affect the destroyers geo-orbit.

If the destroyer was in lower orbit, it would need to be several of them in a constellation. All four of a squad might work, with one destroyer always climbing the horizon to shoot down strategems and hellpods at radial-in.

Do you guys have any more possible and physically correct explanations of how it could work in a real world with orbital mechanics?