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Universal Gravitation

Problem 1.223

Calculate the radius of the circular orbit of a stationary Earth's satellite, which remains motionless with respect to its surface. What are its velocity and acceleration in the inertial reference frame fixed at a given moment to the centre of the Earth?

Reveal Answer
1.223. r=γM(T/2π)23=4.2⋅104 km,r=\sqrt[3]{\gamma M(T / 2 \pi)^{2}}=4.2 \cdot 10^{4} \mathrm{~km}, where MM and TT are the mass of the Earth and its period of revolution about its own axis respectively; 3.1 km/s,0.22 m/s23.1 \mathrm{~km} / \mathrm{s}, 0.22 \mathrm{~m} / \mathrm{s}^{2}.
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