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In this paper we deal analytically with a version of the so called clockparadox in which the moving clock performs a circular motion of constantradius. The rest clock is denoted as (1), the rotating clock is (2), theinertial frame in which (1) is at rest and (2) moves is I and, finally, theaccelerated frame in which (2) is at rest and (1) rotates is A. By using theGeneral Theory of Relativity in order to describe the motion of (1) as seen inA we will show the following features. I) A differential aging between (1) and(2) occurs at their reunion and it has an absolute character, i.e. the propertime interval measured by a given clock is the same both in I and in A. II)  From a quantitative point of view, the magnitude of the differential agingbetween (1) and (2) does depend on the kind of rotational motion performed byA. Indeed, if it is uniform there is no any tangential force in the directionof motion of (2) but only normal to it. In this case, the proper time intervalreckoned by (2) does depend only on its constant velocity v=romega. On thecontrary, if the rotational motion is uniformly accelerated, i.e. a constantforce acts tangentially along the direction of motion, the proper timeintervals $do depend$ on the angular acceleration alpha. III) Finally, inregard to the sign of the aging, the moving clock (2) measures always a$shorter$ interval of proper time with respect to (1).Comment: LaTex2e, 9 pages, no figures, no tables. It is the follow-on of the  paper physics/040503

On the clock paradox in the case of circular motion of the moving clock