QUESTION IMAGE
Question
use the following table to find the eccentricity (e = c / a)
| planet | distance from center of ellipse to focus in aus c | semi - major axis in aus a | eccentricity e |
|---|---|---|---|
| venus | 0.005 | 0.723 | |
| earth | 0.017 | 1.000 | |
| mars | 0.142 | 1.524 | |
| jupiter | 0.250 | 5.203 | |
| saturn | 0.534 | 9.540 | |
| uranus | 0.901 | 19.180 | |
| neptune | 0.271 | 30.060 | |
| pluto | 9.821 | 39.440 |
Step1: Recall the eccentricity formula
The formula for eccentricity is $e = \frac{c}{a}$, where $c$ is the distance from the center of the ellipse to the focus and $a$ is the semi - major axis.
Step2: Calculate eccentricity for each planet
For Mercury: $e=\frac{0.080}{0.387}\approx 0.207$.
For Venus: $e = \frac{0.005}{0.723}\approx0.007$.
For Earth: $e=\frac{0.017}{1.000}= 0.017$.
For Mars: $e=\frac{0.142}{1.524}\approx0.093$.
For Jupiter: $e=\frac{0.250}{5.203}\approx0.048$.
For Saturn: $e=\frac{0.534}{9.540}\approx0.056$.
For Uranus: $e=\frac{0.901}{19.180}\approx0.047$.
For Neptune: $e=\frac{0.271}{30.060}\approx0.009$.
For Pluto: $e=\frac{9.821}{39.440}\approx0.249$.
Snap & solve any problem in the app
Get step-by-step solutions on Sovi AI
Photo-based solutions with guided steps
Explore more problems and detailed explanations
Mercury: $e\approx 0.207$, Venus: $e\approx0.007$, Earth: $e = 0.017$, Mars: $e\approx0.093$, Jupiter: $e\approx0.048$, Saturn: $e\approx0.056$, Uranus: $e\approx0.047$, Neptune: $e\approx0.009$, Pluto: $e\approx0.249$