Physics

Problem

The Moon goes round the Earth once every

27.3\,\text{days}

in an orbit whose mean distance from the centre of the Earth is

3.84\times10^{8}\,\text{m}

. A communication satellite is required to circle the Earth once in

8.0\,\text{h}

in a nearly circular orbit. (a) Determine the distance of the satellite from the centre of the Earth. (b) Hence calculate its height above the Earth’s surface. Take the radius of the Earth to be

6.4\times10^{6}\,\text{m}

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