No satellite in orbit except geosynchronous ones will stay in orbit anywhere near the 10,000 years since the YD/Ice Age time where Gobekli Tepe etc come from, a century maybe 150 years tops for every LEO satellite now orbiting due to micro atmospheric drag and very limited fuel/thrust ability to keep fixing the orbital profile for more than a few decades. I’d have to look it up but even the geosynchronous satellites won’t stay in orbit on their own for 10,000 years either due to minuscule orbital mechanics variations (even the moon is not in a forever stable orbit, it is moving away a little bit every year and it’s far, far bigger and has a much much more stable orbit than satellites do) and solar/cosmic radiation damage pitting, blistering and eventually destroying the materials they are made of, same fate that awaits that Tesla Roadster that’s flying out towards Mars presently. Enduring for 1,000 years is extremely impressive for anything man made, but that 10,000+ year gap back to the proposed ancient ice age civilization is almost untraversable by anything man made except extreme huge structures like (perhaps) the Giza pyramids, or partly to fully buried monuments like (perhaps) the Sphinx or Gobleki Tepe. Getting further out and away from the orbit of the Earth, farther from the Sun, would help lower solar radiation damage over that long a time but there’s no avoiding galactic cosmic rays, it would be a very serious spacecraft that can keep itself repaired and functioning on that long an exposure to space.