Practicing Success
The eccentricity of the earth orbit is 0.0167. The ratio of its maximum speed in its orbit to its minimum speed is |
2.507 1.033 8.324 1.000 |
1.033 |
Eccentricity, e $=\frac{r_{\max }-r_{\min }}{r_{\text {max }}+r_{\min }}$ = 0.0167 Therefore, $\frac{r_{\max }}{r_{\min }}=\frac{1+\mathrm{e}}{1-\mathrm{e}}=\frac{1-.0167}{1+0.0167}$ $\mathrm{r}_{\max } \times \mathrm{V}_{\min }=\mathrm{r}_{\min } \times \mathrm{V}_{\max }$ ∴ $\frac{\mathrm{V}_{\max }}{\mathrm{V}_{\min }}=\frac{\mathrm{r}_{\max }}{\mathrm{r}_{\min }}=\frac{1+0.0167}{1-0.0167}$ = 1.033 |