next up previous contents index
Next: Sample Up: No Title Previous: Saddle Point

Sagitta

  If the end points of a circle segment (length s, circle radius ) are joined by a straight line, the chord, the deviation of the chord from the circle at the segment's midpoint is called the sagitta f:

For small angles, or , one obtains

If a curvature is measured by measuring f (e.g. for a particle track in a magnetic field), then

where s = projected length. By with P =  projected momentum, H= magnetic flux density and e= elementary charge 0.2998 GeV/ c T-1 m-1] one obtains



Rudolf K. Bock, 7 April 1998