This table could summarize the ratio calculation of a simple planetary system and one gear inversor system:
Planetary drives are usually demanded on transmissions where the input-output ratio is very high. Also these type of transmission can be developed in a small volume. In some final drives, using a double planetary system ratios of 1:26 can be obtained.
Planetary system and Inversor system images and animations.
References:
Wikipedia
Mechanism & Mechanical Devices Sourcebook
Images and Animations by:
Vergara.
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