On December 25, 2004, the Huygens probe separated from the Cassini spacecraft orbiting Saturn and began a 22 day journey to Saturn's giant moon Titan, on whose surface it landed. It is useful to know that Titan is 1.22×10^6 km from the center of Saturn and has a mass of 1.35×10^23 kg and a diameter of 5150 km. At what distance from Titan should the gravitational pull of Titan just balance the gravitational pull of Saturn?
(I got D=17425km and it was wrong)

Question

On December 25, 2004, the Huygens probe separated from the Cassini spacecraft orbiting Saturn and began a 22 day journey to Saturn's giant moon Titan, on whose surface it landed. It is useful to know that Titan is 1.22×10^6 km from the center of Saturn and has a mass of 1.35×10^23 kg and a diameter of 5150 km. At what distance from Titan should the gravitational pull of Titan just balance the gravitational pull of Saturn?
(I got D=17425km and it was wrong)