The formula to calculate the Linear Eccentricity of an Ellipse given its Eccentricity and Semi Major Axis is:
\[ c = e \times a \]
The Linear Eccentricity of an Ellipse is the distance from the center to any of the foci of the Ellipse. The Eccentricity of an Ellipse is the ratio of the linear eccentricity to the semi major axis of the Ellipse. The Semi Major Axis of an Ellipse is half of the chord passing through both the foci of the Ellipse.
Let's assume the following values:
Using the formula:
\[ c = 0.8 \times 10 = 8 \text{ Meter} \]
The Linear Eccentricity of the Ellipse is 8 Meter.
| Eccentricity (Meter) | Semi Major Axis (Meter) | Linear Eccentricity (Meter) |
|---|---|---|
| 0.7 | 10 | 7.000000000000000 |
| 0.71 | 10 | 7.100000000000000 |
| 0.72 | 10 | 7.199999999999999 |
| 0.73 | 10 | 7.300000000000000 |
| 0.74 | 10 | 7.400000000000000 |
| 0.75 | 10 | 7.500000000000000 |
| 0.76 | 10 | 7.600000000000000 |
| 0.77 | 10 | 7.700000000000000 |
| 0.78 | 10 | 7.800000000000001 |
| 0.79 | 10 | 7.900000000000000 |
| 0.8 | 10 | 8.000000000000000 |
| 0.81 | 10 | 8.100000000000001 |
| 0.82 | 10 | 8.200000000000001 |
| 0.83 | 10 | 8.300000000000001 |
| 0.84 | 10 | 8.400000000000000 |
| 0.85 | 10 | 8.500000000000000 |
| 0.86 | 10 | 8.600000000000001 |
| 0.87 | 10 | 8.700000000000001 |
| 0.88 | 10 | 8.800000000000001 |
| 0.89 | 10 | 8.900000000000002 |