With a doubling of the radius of the circular orbit of an artificial Earth satellite, its orbital

With a doubling of the radius of the circular orbit of an artificial Earth satellite, its orbital frequency increased by 4 times. How many times the speed of movement of the satellite in orbit will change.

Problem data: R2 (final radius of the circular orbit) = 2R1 (initial radius); ν2 (final speed) = 4ν1 (start frequency).

The change in the speed of a given satellite in its orbit is determined from the ratio: k = V2 / V1 = 2 * Π * R2 * ν2 / (2 * Π * R1 * ν1) = R2 * ν2 / (R1 * ν1) = 2R1 * 4ν1 / ( R1 * ν1) = 8 times.

Answer: The speed of movement of a given satellite will increase by 8 times.

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