Ageosynchronous earth satellite is one that has an orbital period of precisely 1 day. such orbits are useful for communication and weather observation because the satellite remains above the same point on earth (provided it orbits in the equatorial plane in the same direction as earth’s rotation). calculate the radius of such an orbit based on the data for the moon in

1 the 4 is sig

initial speed when it is dropped is 150 ft/s

now at the same moment the acceleration due to gravity is perpendicular to its velocity

so as we know that

now we have centripetal acceleration a = 32 ft/s^2 as its perpendicular to velocity

while tangential acceleration at the same moment will be zero

so

now radius of curvature is given as

so the radius of curvature just after it is dropped is 703.125 ft