Elliptic Integral

**AceofSpades** · April 2nd 2008, 01:41 PM

I would appreciate any help with evaluating this integral.

$ \int_0^\frac {\pi}{2} \sqrt{1 - e^2sin^2t}~dt $

Where e is the eccentricity of an Ellipse

$ e^2 = \frac {a^2 - b^2}{a^2} $

**topsquark** · April 2nd 2008, 02:06 PM

Originally Posted by AceofSpades

I would appreciate any help with evaluating this integral.

$ \int_0^\frac {\pi}{2} \sqrt{1 - e^2sin^2t}~dt $

Where e is the eccentricity of an Ellipse

$ e^2 = \frac {a^2 - b^2}{a^2} $

Since you are aware this is an elliptic integral, you know that this can not be done exactly, right? Are you asking for a good numerical method to do this?

-Dan

**AceofSpades** · April 2nd 2008, 02:26 PM

Forgive me for my ignorance, I am an amateur at math.

Yes, I would like a numerical evaluation.

**mr fantastic** · April 2nd 2008, 04:08 PM

Originally Posted by AceofSpades

Forgive me for my ignorance, I am an amateur at math.

Yes, I would like a numerical evaluation.

Then you'll need a numerical value for the eccentricity.

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