All Problems 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?
1.223. \(r=\sqrt[3]{\gamma M(T / 2 \pi)^{2}}=4.2 \cdot 10^{4} \mathrm{~km},\) where \(M\) and \(T\) are the mass of the Earth and its period of revolution about its own axis respectively; \(3.1 \mathrm{~km} / \mathrm{s}, 0.22 \mathrm{~m} / \mathrm{s}^{2}\).