Brachistochrone of a Spherical Uniform Mass Distribution

Details Brachistochrone of a Spherical Uniform Mass Distribution Brachistochrone of a Spherical Uniform Mass Distribution

2006-11-21

arxiv.org/abs/math-ph/0611055v3

Physics

Mathematical Physics

3 pages, 1 figure

Scientific paper

We solve the brachistochrone problem for a particle travelling through a
spherical mass distribution of uniform density. We examine the connection
between this problem and the popular "gravity elevator" result. The solution is
compared to the well known brachistochrone problem of a particle in a uniform
gravitational field.

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