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Table 1 Computational results of motion relations

From: Life Distribution Transformation Model of Planetary Gear System

Parts Absolute velocity Relative velocity Load quantity
Sun gear \(\omega_{\text{s}}\) \(\frac{{R_{\text{r}} }}{{R_{\text{s}} + R_{\text{r}} }}\omega_{\text{s}}\) \(\frac{{R_{\text{r}} \omega_{\text{s}} n_{\text{p}} t}}{{R_{\text{s}} + R_{\text{r}} }}\)
Planet gear \(\frac{{R_{\text{s}} }}{{R_{\text{s}} - R_{\text{r}} }}\omega_{\text{s}}\) \(\frac{{2R_{\text{s}} R_{\text{r}} }}{{R_{\text{s}}^{2} - R_{\text{r}}^{2} }}\omega_{\text{s}}\) \(\frac{{4R_{\text{s}} R_{\text{r}} \omega_{\text{s}} n_{\text{p}} t}}{{R_{\text{r}}^{2} - R_{\text{s}}^{2} }}\)
Ring gear 0 \(- \frac{{R_{\text{s}} }}{{R_{\text{s}} + R_{\text{r}} }}\omega_{\text{s}}\) \(\frac{{R_{\text{s}} \omega_{\text{s}} n_{\text{p}} t}}{{R_{\text{s}} + R_{\text{r}} }}\)
Planet carrier \(\frac{{R_{\text{s}} }}{{R_{\text{s}} + R_{\text{r}} }}\omega_{\text{s}}\) 0