Force Distribution in a Planetry Gear Train

Hello all,

I am working on planetry gear Box for the customer proposal and I am looking for some information on force distribution between sun gear, three planetry gear & ring gear for Planetry configuration (input: sun; Output: carrier, ring gear:fixed) that is difficult to find.

As I analyze, torque from sun distributes to three planetry gears.

Let Fs,Fp,Fr,Fc are the forces at sun,planetry, Ring gear & carrier respectively.

The force on One planetrty (Fp) = Fs/3
The force on Carrier(Fc) = 2Fp
The force on Ring(Fr)(Fixed) = Fp

I would like to know is above analysation is on right way & iIwould like to know any appropriate method of force analysis in differnt configuration like planetary, star & solar.

Thanks in before

Nagaraja