Abstract: Backlash free articulation reducing mechanism, usable notably for the setting of the various portions of an automobile vehicle seat, characterized in that each satellite has a central axis with a cylindrical (inner or outer) bearing surface intended for centering itself and reacting on a complementary cylindrical bearing surface (respectively outer or inner) provided on a star-shaped satellite-holder having due to its material and design, a sufficient resiliency for constantly applying the toothings of the satellites in the toothing of their respective flange, thereby allowing taking up clearances inherent to manufacture of this type of mechanism and allowing also absorbing without deterioration any overload able for example to appear during use of the reducing mechanism as an articulation of an automobile vehicle seat.