A satellite is in a circular orbit about the earth (ME = 5.98 1024 kg). The period of the satellite is 2.60 104 s. What is the speed at which the satellite travels?

Answer 1

T = orbital period in seconds
µ = Earth's gravitational constant = 3.98x10^14
r = radius of orbit in meters

From T = 2(Pi)sqrt[r^3/µ] r = 18,959.3m.
From V = sqrt[µ/r], V = 4581m/s