A spacecraft of mass 6.00 ? 104 kg is in a circular
orbit at an altitude of 200 km above the Earth's surface. Mission
Control wants to fire the engines so as to put the spacecraft in an
elliptical orbit around the Earth with an apogee of 4.00 ?
104 km. How much energy must be used from the fuel to
achieve this orbit? (Assume that all of the fuel energy goes into
increasing the orbital energy. This model will give a lower limit
to the required energy because some of the energy from the fuel
will appear as internal energy in the hot exhaust gases and engine
parts.)
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