Eccentricity of Ellipse given Linear Eccentricity and Semi Major Axis Calculator

Calculate Eccentricity of Ellipse





Formula

The formula to calculate the Eccentricity of an Ellipse given its Linear Eccentricity and Semi Major Axis is:

\[ e = \frac{c}{a} \]

Definition

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 Major Axis of an Ellipse is half of the chord passing through both the foci of the Ellipse.

Example Calculation

Let's assume the following values:

Using the formula:

\[ e = \frac{8}{10} = 0.8 \text{ Meter} \]

The Eccentricity of the Ellipse is 0.8 Meter.

Conversion Chart

Linear Eccentricity (Meter) Semi Major Axis (Meter) Eccentricity (Meter)
7.5 10 0.750000000000000
7.6 10 0.760000000000000
7.7 10 0.770000000000000
7.8 10 0.780000000000000
7.9 10 0.790000000000000
8 10 0.800000000000000
8.1 10 0.810000000000000
8.2 10 0.820000000000000
8.3 10 0.830000000000000
8.4 10 0.840000000000000
8.5 10 0.850000000000000