Assume the orbital of a lunched satellite around the earth is circular.
a) Show that there is only one speed that a satellite can have if the satellite is to remain in an orbit with a fixed radius and it does not depend on the mass of the satellite.
b) What is the speed and height H above the earth's surface at which all synchronous satellite (regardless of mass) must be placed in orbit, assuming the earth is spherical?
c) If a synchronous satellite has a mass m. How much additional kinetic energy is needed for it to escape from the earth? Please help me figure out this problem?