Mars has four known co-orbital asteroids ( 5261 Eureka , 1999 UJ7 , 1998 VF31 , and 2007 NS2 , all at the Lagrangian points ) , and Jupiter has many ( more than 1000 known objects , the Trojan asteroids ) ; there are also other small co-orbital moons in the Saturnian system : Telesto and Calypso with Tethys , and Helene and Polydeuces with Dione . Mars has four known co-orbital asteroids ( 5261 Eureka , , , and , all at the Lagrangian points ) , and Jupiter has many ( more than 1000 known objects , the Trojan asteroids ) ; there are also other small co-orbital moons in the Saturnian system : Telesto and Calypso with Tethys , and Helene and Polydeuces with Dione .