Planetary gear system, planetary differential and gear system with the planetary differential

A planetary gear system comprising:

• at least two planetary steps, each planetary step including at least one set of planets and one sun, teeth of gearwheels in the planetary gear system meshing with each other in such a way that, in each of the meshing points, at least one first tooth on a first toothing of first teeth positively engages into a tooth gap of a second toothing of second teeth, a first flank of the first tooth touching at least a second flank of a second tooth of the second toothing that delimits one side of the tooth gap on the second toothing in at least one point of tooth contact, the first teeth of the first toothing having a tooth flank profile that, as seen in the cross section through the toothing when the teeth mesh, is concavely arched, and in that the second teeth of the second toothing have a tooth flank profile convexly arched in the same cross section, so that the tooth flanks of the first tooth and of the second tooth, which are in contact with each other, are arched in the same directions, at least when they are in contact with each other.