Backlash free articulation reducing mechanism, usable notably for the setting of the various portions of an automobile vehicle seat

A backlash free articulation reducing mechanism, comprising:

• a fixed flange having a first inner circular toothing;
• a mobile flange having a second inner circular toothing that can differ from said first toothing but is placed on an adjacent diameter, with said flanges defining a cabinet that contains at least three satellites, each of which has two outer toothings placed on either side of a cylindrical collar, with one of said satellite toothings meshing with one of said flange toothings, and the other of said satellite toothings meshing with the other of said flange toothings, and with each of said satellites having a central axis with a cylindrical bearing surface for centering and reacting on a complementary cylindrical bearing surface of a star-shaped satellite-holder that has a sufficient resiliency for constantly applying said satellite toothings in their pertaining flange toothings, in the process taking up clearances inherent to manufacture of said reducing mechanism and also absorbing, without deterioration, any overload that occurs;
• and
• a motive pinion that is floatingly mounted with respect to said fixed and mobile flanges and is fixed on a control shaft.