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Me in a few boring college classes. "Who saw me?? What??"

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Planetary gears are fun, but I never did get the hang of calculating gear ratios with them.

Whether the gear is inside out or not just count the gear teeth. It's the main principle that make automatic transmission work.
 
Planetary gears are fun, but I never did get the hang of calculating gear ratios with them.



If the outer ring is fixed, such as in the pic, then the ratio is Sun/(Ring+Sun) or center / (outer +center).

But the general formula is:
Tr = # turns of the ring gear
Ts = # turns of the sun gear
Ty = #turns of the planetary gear carrier (if there is a carrier, otherwise assume assembly of planets as a carrier whole)
R = #Ring gear teeth
S = # of sun gear teeth
P =# of planet gear teeth
Then the ratio is:
( R + S ) ×Ty = R × Tr + Ts × S

this is only a calculation for ratio, not drive load or anything else.
 
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