Would a planned path give itself away?

Three objects from other stars have crossed the solar system. Each path is scored in bits of surprise against chance: how close it came to the planets, whether they bent it, and whether it came from or is heading to a nearby star. Inside the zoom radius the picture is to scale; beyond it, distances are logarithmic, so the planets and stars a hundred parsecs away share one view. Scroll to zoom, drag to turn, and slide time from a million years ago to a million years ahead.