A satellite of mass mS orbits the Earth (with mass mE and radius RE) with a velocity v and an
altitude h. The gravitational force FG and the centripetal force FC are given by:
FG = G
mS · mE
(RE + h)
2
, FC =
mS · v
2
RE + h
, G = const.
(a) Find an equation for the kinetic energy Ekin(h) of a satellite with an altitude h.
(b) Based on the kinetic energy, how much liquid hydrogen (energy density: 106
J/Litre) is at least
needed to bring a small 1 kg satellite in an orbit of 400 km. (Use literature to find mE, RE, G
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Ms2 is answer
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