A top-secret U.S. military Satellite is in geostationary around the Earth. Satellites in geostationary orbit always to be at a fixed location in the sky relative to the planet surface.
Given:
ME (Mass of Earth) = 5.97x10^(24)kg
RE (Radius of Earth) = 6.37x10^(6)m
G= 6.67x10^(-11) m^(3)/kgs^(2)
a) Calculate the altitude h of the satellite.
b) Calculate the orbital speed of the satellite in geostationary orbit.
c) Consiter the satellite in geostationary orbit at a constant speed. Is it accelerating? If YES, calculate the geostationary satellite in magnitude of the acceleration.
d) The satellite enters surveillance-mode by switching to a low altitude orbit of radius r2. Calculate the orbital period T2 if r2=1/4 r1
e)Did the kenetic energy of the satellite rise or decreade by switching to a lower orbit?