The formula to calculate the Eccentricity of an Ellipse given Linear Eccentricity and Semi Minor Axis is:
\[ e = \frac{c}{\sqrt{b^2 + c^2}} \]
The Eccentricity of an Ellipse is the ratio of the linear eccentricity to the semi-major axis of the Ellipse. The Linear Eccentricity of an Ellipse is the distance from the center to any of the foci of the Ellipse. The Semi Minor Axis of an Ellipse is half of the length of the longest chord which is perpendicular to the line joining the foci of the Ellipse.
Let's assume the following values:
Using the formula:
\[ e = \frac{8}{\sqrt{6^2 + 8^2}} = 0.8 \]
The Eccentricity of the Ellipse is 0.8.
| Linear Eccentricity (Meter) | Semi Minor Axis (Meter) | Eccentricity |
|---|---|---|
| 7 | 6 | 0.759256602365297 |
| 7.1 | 6 | 0.763794182395355 |
| 7.2 | 6 | 0.768221279597376 |
| 7.3 | 6 | 0.772540842073137 |
| 7.4 | 6 | 0.776755748719504 |
| 7.5 | 6 | 0.780868809443030 |
| 7.6 | 6 | 0.784882765533426 |
| 7.7 | 6 | 0.788800290178513 |
| 7.8 | 6 | 0.792623989104600 |
| 7.9 | 6 | 0.796356401327427 |
| 8 | 6 | 0.800000000000000 |
| 8.1 | 6 | 0.803557193344746 |
| 8.2 | 6 | 0.807030325658430 |
| 8.3 | 6 | 0.810421678379293 |
| 8.4 | 6 | 0.813733471206735 |
| 8.5 | 6 | 0.816967863264762 |
| 8.6 | 6 | 0.820126954301183 |
| 8.7 | 6 | 0.823212785915306 |
| 8.8 | 6 | 0.826227342807547 |
| 8.9 | 6 | 0.829172554045033 |
| 9 | 6 | 0.832050294337844 |