Titan, a moon of Saturn, has a mass of 1.35 × 1023 kg and a radius of 2570 km. A space probe of mass 320 kg is launched from Titan's surface to a circular parking orbit 430 km above its surface.
What is the increase in the gravitational potential energy of the probe?
(Take G=6.67×10−11 N m2 kg−2G = 6.67 \times 10^{-11}\text{ N m}^2\text{ kg}^{-2}G=6.67×10−11 N m2 kg−2)
1.9×108 J1.9 \times 10^8\text{ J}1.9×108 J
1.6×108 J1.6 \times 10^8\text{ J}1.6×108 J
1.1×109 J1.1 \times 10^9\text{ J}1.1×109 J
2.1×109 J2.1 \times 10^9\text{ J}2.1×109 J