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Here we derive the equation of circular rays in constant gradient
velocity media. Along a circular ray, the curvilinear abscissa s is,
with the previous notations:
 
(13) 
The equations for the ray trajectory passing through points
and are
 

 (14) 
 
 
 (15) 
By writing the identity
 
(16) 
at every point along the ray, we obtain the equation of the desired circle:
 
(17) 
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Stanford Exploration Project
4/28/2000