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Main Question or Discussion Point
Is there any limit for which we can approximately write the surface area of a prolate ellipsoid to be 4piA*B comparing with the spherical 4piR*R??
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Look at eqn 9 at http://mathworld.wolfram.com/ProlateSpheroid.html.Is there any limit for which we can approximately write the surface area of a prolate ellipsoid to be 4piA*B comparing with the spherical 4piR*R??
I don't know why but the link isnt working for me. However does it bring 4piAC as a result?Look at eqn 9 at http://mathworld.wolfram.com/ProlateSpheroid.html.
You could substitute for a in terms of c and e using eqn 8, then make an approximation for small e.
It can't be exactly that, of course, so it depends how good an approximation you want.I don't know why but the link isnt working for me. However does it bring 4piAC as a result?