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Prime planetary gear2
ring gear teeth:
R = A053144(n) = A002110(n) - A005867(n).
planet gear teeth:
P = A337022(n) = A002110(n)/2 - A005867(n).
sun gear teeth:
S = A005867(n).
For example for n=4:
R = A053144(4)=A002110(4) - A005867(4)=210-48=162
P = A337022(4)=A002110(4)/2 - A005867(4)=57
S = A005867(4)=48
To create this planetary gear for n=4, the openSCAD
from this Thingiverse gear
bearing was used.
CAD
files and gcode
for printing this gear.
The planetary gear ratio is given by A038110/A060753 = (1/1, 1/2,
1/3, 4/15, 8/35, 16/77 etc)
Example for the gear ratio: S/(R + S) for S=48, R=162:
48/(162+48)=48/210=8/35=A038110(5)/A060753(5).
Pictures of x rotations of the planetary gear:
The planetary gear has a period of x turns of the ring gear when
the sun gear is held stationary.
Starting at step1:
Turn the ring gear counterclockwise x.. turns to give step2.
List of the counterclockwise turns of the ring gear with sun gear
held stationary:
step1: 0 turns
step2:
Approximate total turns=
Approximate total turns=
Actual total turns=