My guess: The probe won't orbit the comet, but rather orbit the sun in sync with the comet. That too would be artificial because the comet's mass and the probe'

My guess: The probe won't orbit the comet, but rather orbit the sun in sync with the comet. That too would be artificial because the comet's mass and the probe's mass will keep changing (presumably at different rates). So the probe would need to catch up every once in a while.