Eccentricity Index Calculator

Calculate Eccentricity Index



Formula

The formula to calculate the Eccentricity Index (EI) is:

\[ EI = \sqrt{1 - \left( \frac{b^2}{a^2} \right)} \]

Where:

Definitions

Example

Let's say the length of the semi-major axis (a) is 10 and the length of the semi-minor axis (b) is 6. Using the formula:

\[ EI = \sqrt{1 - \left( \frac{6^2}{10^2} \right)} \]

We get:

\[ EI \approx 0.80 \]

So, the eccentricity index is approximately 0.80.

Extended information about "Eccentricity-Index-Calculator"

How to Calculate Eccentricity

Definition: Eccentricity measures the deviation of a curve or orbit from being circular.

Formula: \( e = \frac{c}{a} \)

Example: \( e = \frac{3}{5} \)

Calculate the Eccentricity for a Circle

Definition: The eccentricity of a circle is always zero because the distance from the center to any point on the circle is constant.

Formula: \( e = 0 \)

Example: \( e = 0 \)

Eccentricity of Orbit Calculator

Definition: This calculator determines the eccentricity of an orbit based on its semi-major and semi-minor axes.

Formula: \( e = \sqrt{1 - \frac{b^2}{a^2}} \)

Example: \( e = \sqrt{1 - \frac{4^2}{5^2}} \)