Simulation of ellipse axis

Question

I've like to simulate ellipse axis, in my example:

a <- x # semi-major axis 
e <- 1/sqrt(2) # eccentricity 
b <- a * sqrt(1 - e^2) # semi-minor axis
c  <- 6.3 # ellipse area

My code needs to estimate with 999 replicates a mean major axis (a) when I have the mean eccentricity (e) and differents minor axis (b) and ellipse areas (c). Any idea? Thanks

same homework as there: https://stackoverflow.com/questions/55676436/calculate-the-eccentricity-of-ellipses — Reblochon Masque, May 01 '19 at 04:15

score 2 · Accepted Answer · answered May 15 '19 at 15:05

2

a = x 
b = x * sqrt(1 - e^2)

area = pi * x * x * sqrt(1 - e^2) = pi * x^2 * sqrt(1 - e^2)

x = sqrt( area / (pi * sqrt(1 - e^2)) );

answered May 15 '19 at 15:05

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Simulation of ellipse axis

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