A ball rotates at a rate r rotations per second and simultaneously revolves around a stationary point O at a rate R revolutions per second (R < r). The rotation and revolution are in the same sense. A certain point on the ball is in the line of the centre of the ball and point O at a certain time. This configuration repeats after a time

1
\(\frac{1}{r-R}\)
2
\(\frac{1}{R}-\frac{1}{r}\)
3
\(\frac{1}{r+R}\)
4
\(\frac{1}{R}+\frac{1}{r}\)
5
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