A satellite of mass 230 kg,launched from the equator, is placed in Earth orbit a

Question

A satellite of mass 230 kg,launched from the equator, is placed in Earth orbit at a heightof 900 km above the surface. (a) With a circular orbit, how long does the satellite take tocomplete one orbit?
h

(b) What is the satellite's speed?
m/s

(c) What is the minimum energy input necessary to place thissatellite in orbit? Ignore air friction but include the effect ofthe planet's daily rotation.
J (a) With a circular orbit, how long does the satellite take tocomplete one orbit?
h

(b) What is the satellite's speed?
m/s

(c) What is the minimum energy input necessary to place thissatellite in orbit? Ignore air friction but include the effect ofthe planet's daily rotation.
J

Explanation / Answer

mass of satellite m = 230 kg height of the satellite above the surface of earth h =900 km = 900000 m (a) . required time = 2 [ ( R + h ) ^ 3 / GM] where R = Radius of earth = 6.4 * 10 ^ 6 m            M= mass of earth = 5.98 * 10 ^ 24 kg            G= Gravitational constant = 6.67 * 10 ^ -11 N m ^ 2 / kg ^ 2 substitue values wget answer (b). satellite speed v = [ GM / ( R + h ) ] substitue values weget answer

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