Magic planetary gear

Working planetary gear with curved shape.
Be sure to insert the planet gears as shown in picture initial position.
Otherwise it will not work.
I have printed the planet gears with 99% size, but it should work with 100% too.

Technical infos:
These type needs a transmission of a multiple of 1. It will work too if you add 1/3 to your integer, but the result of your teeth calculation have to be X.333 period or X.666 period.
If not, the theoretical shape of the ring gear will rotate at every full turn of a planet gear.