[Krimel]
> Poincare's three body problem is another example. You can determine the
> position of either of a pair of orbiting objects like the moon orbiting the
> earth with a high degree of precision but add a third body to the system and
> prediction breaks down. 

The moon orbits the earth & Apollo orbits the moon.  So you can determine the 
position
of the moon & the earth relative to each other & the moon & Apollo relative to 
each other.
So in what sense can't you determine the position of the earth & Apollo relative
to each other?
Craig 

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