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Please help. All I\'ve thought to apply is Fe=(mv^2/r) and that only made a bigg

ID: 2139810 • Letter: P

Question

Please help.  All I've thought to apply is Fe=(mv^2/r) and that only made a bigger mess.


A satellite that goes around the earth once every 24 hours is called a geosynchronous satellite. If a geosynchronous satellite is in an equatorial orbit, its position appears stationary with respect to a ground station, and it is known as a geostationarysatellite.


Find the radius R of the orbit of a geosynchronous satellite that circles the earth. (Note that R is measured from the center of the earth, not the surface.) You may use the following constants:

Explanation / Answer

T = 2*pi*r^(3/2) / sqrt(GM)


24*60*60 = 2*3.14*r^(3/2) / sqrt(6.67*10^-11*5.98*10^24)


r = 42.26476e+6 m


R+h = 42.26476e+6


h = 42.26476e+6- 6.38