Can you Solve the Seven Planets Riddle?

Your interstellar police squad has tracked a group of criminals to a cluster of seven planets. Now you must apprehend them before their reinforcements arrive. Of course, the fugitives won’t just stay put – they’ll try to dodge you by moving from planet to planet. Can you devise a sequence for searching the planets that’s guaranteed to catch them in ten warps or less?

[TED Ed]