4π²R³ = T²GM and V²R = GM,
where R = radius of orbit in metres,
T = orbital period in seconds,
V = orbital speed in m/s,
G = gravitational constant ≈ 6.673×10−11 Nm²/kg²,
M = mass of Earth ≈ 5.98×1024 kg
A satellite is in a circular orbit around an unknown planet. The satellite has a speed of 1.80 104 m/s, and the radius of the orbit is 5.20 106 m. A second satellite also has a circular orbit around this same planet. The orbit of this second satellite has a radius of 8.70 106 m. What is the orbital speed of the second satellite?
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