How are F-number and spherical aberration related?

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russel.arnold
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how F-number of a lens and spherical aberration are related?
 
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the faster the lens (or parabolic mirror in a telescope) the greater the probability of spherical aberration

f2 worse aberration than f5 which would be worse than a f10
there may be formula for working it out ... I don't know them ;)

Dave