Physics - Grade XII or Standard XII
Critical Speed when Satellite is Revolving Close to the Earth’s Surface
Critical speed when satellite is revolving close to the Earth’s surface:
Satellite is revolving close to the earth’s surface. In this case R >> h, hence, R ≈ R + h, and gh = g, consequently we get the following expression for vc:
where vc = critical speed of satellite, G = gravitational constant = 6.67 × 10-11 N.m2/kg2, M = mass of the Earth = 5.972 × 1024 kg, R = radius of Earth = 6.378 × 106 m, g = acceleration due to earth at the the surface of earth = 9.81 m/s2, h = height of satellite above Earth's surface, gh = gravitational acceleration due to Earth at the height of h above the Earth's surface.
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