Romberg_EI
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Ronald W. Satz, Transpower Corporation
http://www.transpowercorp.com
Calculates Complete Elliptic Integral of the Second Kind Using Romberg's Method
Sample Input:
Romberg_EI(0;Pi/2;0.01670862) 

Sample Output:

Description:
This function calls EI (ecc ; theta ) (which is equal to Sqrt ( 1 (ecc ^ 2 ) * ( ( Sin ( theta ) ) ^ 2 ) ) ) (where ecc = ellipse eccentricity and theta = angle in radians) to compute the integrand of the Complete Elliptic Integral of the Second kind at 33 points. It then takes these values to compute the Romberg value for the Complete Elliptic Integral of the Second kindfor instance, the perimeter of an elliptic orbit (which would be 4 x a x the value computed, where a = semimajor axis of the ellipse).
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