Satellite Motion: Speed & Period Video Lessons

Concept

# Problem: The International Space Station is in a 230-mile-high orbit.Part A What is the station's orbital speed? The radius of Earth is 6.37 × 106 m, its mass is 5.98 × 1024 kg.Part B What is the station's orbital period?

###### FREE Expert Solution

Part A

Orbital speed, v,

$\overline{){\mathbf{v}}{\mathbf{=}}\sqrt{\frac{\mathbf{G}\mathbf{·}\mathbf{M}}{\mathbf{R}}}}$

Height of orbit, H = 230 miles (1609 m / 1 mile) = 0.37 × 106 m

Radius of the Earth, R = 6.37 × 10m

Radius of the orbit, r = R + H = 6.37 × 106 + 0.37 × 106 = 6.74 × 106 m

Mass, m = 5.98 × 1024 kg

Gravitation constant, G = 6.673 × 10-11 N.m2 / kg2

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###### Problem Details

The International Space Station is in a 230-mile-high orbit.

Part A

What is the station's orbital speed? The radius of Earth is 6.37 × 10m, its mass is 5.98 × 1024 kg.

Part B

What is the station's orbital period?