StinkyOne has a point. Atmospheric disturbances would vary based on a complex variety of variables, thus having one star appear in the same position is virtually impossible. The improbability exponentially increases when you take the other stars into account. They appear the same brightness, retain orientation, and consistently have the same position in reference to the other stars.
Also, if they were objects suspended in the sky, the smaller stars would not receive as much interference from a small amount of atmosphere as the stars that are separated from us by many light-years do by numerous cosmic factors. That would require the atmosphere to be comprised by an unknown media, which we would have at least some perception of from atmospheric analysis. Finally, what would hold the stars in place? Would they not crash into the planet that is accelerating towards them at gravitational speed? Or is it another unknown material there is no trace of?