You're dealing with two numbers, one of them being approximately 20 
million times the other.  It's a known aspect of the hardware we use 
that you should keep your ratios smaller than this to avoid precision 
errors.  It's the same reason you shouldn't try to model the solar 
system with physically accurate sizes and positions.

You'd think that a double precision float would be able to handle more 
than this, since the difference between the two is only 20 bits, but 
apparently this is the limit.

...Chambers

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