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A Crossing

 

A crossing allows collisions between the beams in the two rings of a collider as they cross over from one ring to the other.

Since a crossing connects the two rings in two ways, it has points in common with the segment that would normally be in that sector.

All parts of the crossing (except points M and N) can be computed by linear interpolations.  Care must however be taken that the middle point of both paths through the crossing is a single point:  it is at this single point that collisions can be observed, therefore that point must occur in both paths.

For testing of collisions it is sufficient that the index of the middle point is well-known.

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next planned revision: 2009-11