In: Physics
A satellite is put into an elliptical orbit around the Earth. When the satellite is at its perigee, its nearest point to the Earth, its height above the ground is hp=215.0 km,hp=215.0 km, and it is moving with a speed of vp=8.450 km/s.vp=8.450 km/s. The gravitational constant GG equals 6.67×10−11 m3⋅kg−1⋅s−26.67×10−11 m3·kg−1·s−2 and the mass of Earth equals 5.972×1024 kg.5.972×1024 kg.
When the satellite reaches its apogee, at its farthest point from the Earth, what is its height haha above the ground?
For this problem, choose gravitational potential energy of the satellite to be 00 at an infinite distance from Earth.