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The angle of those radials, the amount of 'droop', has little to nothing to do with it's radiation pattern or how it works that way.  They do have a lot to do with the input impedance of the antenna, IF they are properly installed and are used for radials instead of a block for CMCs.

The antenna modeling programs are subject to limitations and errors.  They make very nice 'indicators', but will never show exactly whats happening with an antenna without a huge amount of information plugged into it about all the 'stuff' around it.  Otherwise, it's always going to be a 'best case' instead of 'real world'.  They can get 'close' though.

 - 'Doc