The formula to calculate the Eccentricity Index (EI) is:
\[ EI = \sqrt{1 - \left( \frac{b^2}{a^2} \right)} \]
Where:
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.
Definition: Eccentricity measures the deviation of a curve or orbit from being circular.
Formula: \( e = \frac{c}{a} \)
Example: \( e = \frac{3}{5} \)
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: \( e = 0 \)
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: \( e = \sqrt{1 - \frac{4^2}{5^2}} \)
