9.2.3 (A spherical trapping region) Show that all trajectories eventually enter and remain inside a large sphere S of the form x² + y² + (z-r-0)² = C, for Csuf- ficiently large. (Hint: Show that x² + y² + (z-r-o) decreases along trajectories for all (x,y,z) outside a certain fixed ellipsoid. Then pick Clarge enough so that the sphere S encloses this ellipsoid.)

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