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ellipse = function(xcen = 0, ycen = 0, a = 10, b = 5, e = 1-b/a, pa = 0){
# calculates ellipse x,y coordinates for plotting
# Xcenter, Ycenter, semi-major axis, ellipticity(1-b/a), position angle (x+ ACW) (degrees)
alpha = seq(0, 2 * pi, length=1000)
pa = (pi/180)*pa
b = (1-e)*a
x = xcen + a * cos(alpha) * cos(pa) - b * sin(alpha) * sin(pa)
y = ycen + a * cos(alpha) * sin(pa) + b * sin(alpha) * cos(pa)
return(list(x=x,y=y))
}
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