Why, when an artificial satellite moves in the earth’s atmosphere, does its flight altitude decrease and its orbital speed increases?

When the satellite moves in the atmosphere, in addition to the Earth’s gravity force, it is affected by the resistance force of the medium, which is a dissipative force, which leads to a decrease in its mechanical energy and the radius of the orbit. Due to the movement of the satellite along a spiral trajectory, the angle between the vectors of the gravitational force and the orbital velocity turns out to be less than 90 °. As a result of this, the gravitational force does a positive job and, according to the kinetic energy theorem, leads to an increase in the orbital flight speed. The essence of this phenomenon is called the aerodynamic paradox.

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