Geostationary satellites maintain their position over a fixed point on the Earth's surface at the Equator. This is parti

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Geostationary Satellites Maintain Their Position Over A Fixed Point On The Earth S Surface At The Equator This Is Parti 1 (106.2 KiB) Viewed 23 times

Geostationary satellites maintain their position over a fixed point on the Earth's surface at the Equator. This is particularly useful for broadcasting (e.g. Sky) and observing a fixed region of the Earth (e.g. Meteosat). Newton's law of gravitation states that the gravitational force exerted on a satellite by the Earth is GMm Fr=- p2 where G~ 6.67 × 10-¹¹N m² kg-² is the gravitational constant, M ~ 5.98 × 1024 kg is the mass of the Earth, m is the mass of the satellite and r is the radial distance from the centre of the Earth. If the radius of the Earth is 6378 km, determine the speed and height above the Earth of a satellite in geostationary orbit. Hint: Use the radial component of Newton's second law given by Fr = m(r— ri²).