HCRP project 2009
geodesics on surface of revolution
Geodesics on surface of revolution
Office: SciCtr 434

Animation of the geodesic evolution on the surface given in cylindrical coordinates as r=exp(-z2).
Motion of the caustic in dependence on the initial point
Primary caustic computation on a surface of revolution r = exp(-z^2). There are directions, in which the geodesic winds around the torus several times before the Jacobi field reaches a zero. For these pictures, 10'000 geodesics have been started from one point and integrated until time 10. Always the first point was marked, where the Jacobi field is zero.
Questions and comments to knill@math.harvard.edu
Oliver Knill | Department of Mathematics | Harvard University