# Planetary gear system
# Scope: Ideal fixed-ring sun-input planetary; integer tooth compatibility.
# Status: illustrative worked example; engineering review pending.
# Inputs are example values. Checks are editable example requirements, not standards.

sun = 20
ring = 60
inputSpeed = 1000 rpm
inputTorque = 1 N*m

planet := (ring-sun)/2
ratio := 1+ring/sun
outputSpeed := inputSpeed/ratio [rpm]
outputTorque := inputTorque*ratio [N*m]

check planet tooth integer: abs(planet-floor(planet)) <= 0

scenario alternative: sun = 16