Brachistochrones For Attractive Logarithmic Potential

Garry J. Tee

Abstract

Brachistochrones are constructed for attractive central force,
with logarithmic potential. Each pair of points (except those with
the centre between them) are connected by an unique
brachistochrone.

Keywords
brachistochrone, quickest descent, constrained motion, central forces, logarithmic potential

Math Review Classification
Primary 70D05 ; Secondary 49J05

Last Updated
1999-1-28

Length
16 pages

Availability
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