On December $25,2004,$ the Huygens probe separated from the Cassini spacecraft orbiting Saturn and began a $22$ day journey to Saturn's moon Titan, on whose surface it landed. It is useful to know that Titan is $1\mathrm{.}22106$km$1\mathrm{.}22106$km from the center of Saturn and has a mass of $1\mathrm{.}351023$kg$1\mathrm{.}351023$kg and a diameter of $5150$ kmkm$.$ The mass of Saturn is $5\mathrm{.}681026$kg$5\mathrm{.}681026$kg$.$