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Sun: 17 teeth Planets, 4 pieces, 17 teeth Ring: 51 (teeth inside) Carrier Axle Support (not needed)
Module: 2.0 mm
Update 8: printed versions 5, 8: the outside ring is too tight, must be 1-2% larger. Update 9: ring teeth are 0.2 mm pro side thinner; set 1.25*m gap as radial gap
Update: use carrier v8.stl for 5 planets; the angle between satellites: (13 / 68 * 360) and (14 / 68 * 360) degrees.
For the future versions: the amount of teeth by sun + ring wheels must be multiple for the satellite amount, for example for 5 satellites: sun 17, satellites 18, ring 53, the number 17+53 gives the 70, it's possible to set 5 satellites every (14 / 70 * 360) = 72 degrees.
Please set the cura settings for walls: outside than inside work in progress
List 1: General Configurations (Small Gears Allowed)
| No. | Sun (Ns) | Planet (Np) | Ring (Nr) | Planets (P) | Indexing Angle | Gear Ratio (i = 1 + Nr/Ns) |
|---|---|---|---|---|---|---|
| 1 | 12 | 12 | 36 | 3 | 120° | 4.00 |
| 2 | 12 | 15 | 42 | 3 | 120° | 4.50 |
| 3 | 12 | 18 | 48 | 3 | 120° | 5.00 |
| 4 | 15 | 15 | 45 | 3 | 120° | 4.00 |
| 5 | 12 | 12 | 36 | 4 | 90° | 4.00 |
| 6 | 12 | 14 | 40 | 4 | 90° | 4.33 |
| 7 | 16 | 16 | 48 | 4 | 90° | 4.00 |
| 8 | 15 | 15 | 45 | 5 | 72° | 4.00 |
| 9 | 17 | 18 | 53 | 5 | 72° | 4.12 |
| 10 | 20 | 15 | 50 | 5 | 72° | 3.50 |
List 2: High-Tooth Configurations (>= 17 Teeth for Sun and Planets)
| No. | Sun (Ns) | Planet (Np) | Ring (Nr) | Planets (P) | Indexing Angle | Gear Ratio (i = 1 + Nr/Ns) |
|---|---|---|---|---|---|---|
| 1 | 17 | 19 | 55 | 3 | 120° | 4.24 |
| 2 | 17 | 22 | 61 | 3 | 120° | 4.59 |
| 3 | 18 | 18 | 54 | 3 | 120° | 4.00 |
| 4 | 20 | 20 | 60 | 3 | 120° | 4.00 |
| 5 | 17 | 17 | 51 | 4 | 90° | 4.00 |
| 6 | 17 | 19 | 55 | 4 | 90° | 4.24 |
| 7 | 18 | 19 | 56 | 4 | 90° | 4.11 |
| 8 | 20 | 18 | 56 | 4 | 90° | 3.80 |
| 9 | 17 | 18 | 53 | 5 | 72° | 4.12 |
| 10 | 18 | 17 | 52 | 5 | 72° | 3.89 |
List 3: Low-Tooth Configurations (>= 6 Teeth for Sun and Planets)
| No. | Sun (Ns) | Planet (Np) | Ring (Nr) | Planets (P) | Indexing Angle | Gear Ratio (i = 1 + Nr/Ns) |
|---|---|---|---|---|---|---|
| 1 | 6 | 6 | 18 | 3 | 120° | 4.00 |
| 2 | 6 | 9 | 24 | 3 | 120° | 5.00 |
| 3 | 6 | 12 | 30 | 3 | 120° | 6.00 |
| 4 | 6 | 15 | 36 | 3 | 120° | 7.00 |
| 5 | 7 | 8 | 23 | 3 | 120° | 4.29 |
| 6 | 8 | 7 | 22 | 3 | 120° | 3.75 |
| 7 | 8 | 8 | 24 | 4 | 90° | 4.00 |
| 8 | 8 | 10 | 28 | 4 | 90° | 4.50 |
| 9 | 9 | 9 | 27 | 3 | 120° | 4.00 |
| 10 | 10 | 10 | 30 | 5 | 72° | 4.00 |
List 4: Incremental Gear Ratio Configurations (From 4 to 60)
| No. | Sun (Ns) | Planet (Np) | Ring (Nr = Ns + 2Np) | Planets | Indexing | Gear Ratio (i = 1 + Nr/Ns) |
|---|---|---|---|---|---|---|
| 1 | 6 | 6 | 18 | 3 | 120° | 4.00 |
| 2 | 6 | 9 | 24 | 3 | 120° | 5.00 |
| 3 | 6 | 12 | 30 | 3 | 120° | 6.00 |
| 4 | 6 | 15 | 36 | 3 | 120° | 7.00 |
| 5 | 6 | 18 | 42 | 3 | 120° | 8.00 |
| 6 | 6 | 21 | 48 | 3 | 120° | 9.00 |
| 7 | 6 | 24 | 54 | 3 | 120° | 10.00 |
| 8 | 6 | 27 | 60 | 3 | 120° | 11.00 |
| 9 | 6 | 30 | 66 | 3 | 120° | 12.00 |
| 10 | 6 | 33 | 72 | 3 | 120° | 13.00 |
| 11 | 6 | 36 | 78 | 3 | 120° | 14.00 |
| 12 | 6 | 39 | 84 | 3 | 120° | 15.00 |
| 13 | 6 | 42 | 90 | 3 | 120° | 16.00 |
| 14 | 6 | 45 | 96 | 3 | 120° | 17.00 |
| 15 | 6 | 48 | 102 | 3 | 120° | 18.00 |
| 16 | 6 | 51 | 108 | 3 | 120° | 19.00 |
| 17 | 6 | 54 | 114 | 3 | 120° | 20.00 |
| 18 | 6 | 57 | 120 | 3 | 120° | 21.00 |
| 19 | 6 | 60 | 126 | 3 | 120° | 22.00 |
| 20 | 6 | 63 | 132 | 3 | 120° | 23.00 |
| 21 | 6 | 66 | 138 | 3 | 120° | 24.00 |
| 22 | 6 | 69 | 144 | 3 | 120° | 25.00 |
| 23 | 6 | 72 | 150 | 3 | 120° | 26.00 |
| 24 | 6 | 75 | 156 | 3 | 120° | 27.00 |
| 25 | 6 | 78 | 162 | 3 | 120° | 28.00 |
| 26 | 6 | 81 | 168 | 3 | 120° | 29.00 |
| 27 | 6 | 84 | 174 | 3 | 120° | 30.00 |
| 28 | 6 | 87 | 180 | 3 | 120° | 31.00 |
| 29 | 6 | 90 | 186 | 3 | 120° | 32.00 |
| 30 | 6 | 93 | 192 | 3 | 120° | 33.00 |
| 31 | 6 | 96 | 198 | 3 | 120° | 34.00 |
| 32 | 6 | 99 | 204 | 3 | 120° | 35.00 |
| 33 | 6 | 102 | 210 | 3 | 120° | 36.00 |
| 34 | 6 | 105 | 216 | 3 | 120° | 37.00 |
| 35 | 6 | 108 | 222 | 3 | 120° | 38.00 |
| 36 | 6 | 111 | 228 | 3 | 120° | 39.00 |
| 37 | 6 | 114 | 234 | 3 | 120° | 40.00 |
| 38 | 6 | 117 | 240 | 3 | 120° | 41.00 |
| 39 | 6 | 120 | 246 | 3 | 120° | 42.00 |
| 40 | 6 | 123 | 252 | 3 | 120° | 43.00 |
| 41 | 6 | 126 | 258 | 3 | 120° | 44.00 |
| 42 | 6 | 129 | 264 | 3 | 120° | 45.00 |
| 43 | 6 | 132 | 270 | 3 | 120° | 46.00 |
| 44 | 6 | 135 | 276 | 3 | 120° | 47.00 |
| 45 | 6 | 138 | 282 | 3 | 120° | 48.00 |
| 46 | 6 | 141 | 288 | 3 | 120° | 49.00 |
| 47 | 6 | 144 | 294 | 3 | 120° | 50.00 |
| 48 | 6 | 147 | 300 | 3 | 120° | 51.00 |
| 49 | 6 | 150 | 306 | 3 | 120° | 52.00 |
| 50 | 6 | 153 | 312 | 3 | 120° | 53.00 |
| 51 | 6 | 156 | 318 | 3 | 120° | 54.00 |
| 52 | 6 | 159 | 324 | 3 | 120° | 55.00 |
| 53 | 6 | 162 | 330 | 3 | 120° | 56.00 |
| 54 | 6 | 165 | 336 | 3 | 120° | 57.00 |
| 55 | 6 | 168 | 342 | 3 | 120° | 58.00 |
| 56 | 6 | 171 | 348 | 3 | 120° | 59.00 |
| 57 | 6 | 174 | 354 | 3 | 120° | 60.00 |
Two Suns, Two Planets
The gearset shown above has two sun gears, and the two planet gears (the yellow gears) rotate as a single unit. The sun gears (green and brown) can rotate independently of one another. The inputs and output can be selected from either sun gear and/or the carrier. Very high speed reductions can be achieved with this unit, but it can suffer from low efficiency if not designed correctly.
| Ns1 | Ns2 | ΔN | i = Ns1/ΔN |
|---|---|---|---|
| 60 | 61 | 1 | 60 |
| 120 | 122 | 2 | 60 |
| 180 | 183 | 3 | 60 |
| 240 | 244 | 4 | 60 |
| 300 | 305 | 5 | 60 |
