| Brachistochrones are constructed for repulsive central force, with logarithmic potential. Each pair of points is connected by infinitely many brachistochrones, on each of which the passage time is a local minimum, and the global minimum passage time is attained on one (or on infinitely many) of those curves. The bounded brachistochrones starting at a fixed point are separated from the unbounded brachistochrones by a Critical Brachistochrone. |
Keywords
Math Review Classification
Last Updated
17/3/1999
Length
31 pages
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