Part A

$\overline{){\mathbf{1}}{\mathbf{}}{\mathbf{m}}{\mathbf{i}}{\mathbf{l}}{\mathbf{e}}{\mathbf{}}{\mathbf{=}}{\mathbf{}}{\mathbf{1609}}{\mathbf{}}{\mathbf{m}}}$

Orbital speed, v,

$\overline{){\mathbf{v}}{\mathbf{=}}\sqrt{\frac{\mathbf{G}\mathbf{\xb7}\mathbf{M}}{\mathbf{R}}}}$

Height of orbit, H = 230 miles (1609 m / 1 mile) = 0.37 × 10^{6} m

Radius of the Earth, R = 6.37 × 10^{6 }m

Radius of the orbit, r = R + H = 6.37 × 10^{6} + 0.37 × 10^{6} = **6.74 × 10 ^{6} m**

Mass, m = 5.98 × 10^{24} kg

Gravitation constant, G = 6.673 × 10^{-11} N.m^{2} / kg^{2}

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 × 10^{6 }m, its mass is 5.98 × 10^{24} kg.

Part B

What is the station's orbital period?

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