Brachistochrone of a Spherical Uniform Mass Distribution
Mathematical Physics
2008-08-23 v3 math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.math-ph/0611055,
title = {Brachistochrone of a Spherical Uniform Mass Distribution},
author = {David R. Mitchell},
journal= {arXiv preprint arXiv:math-ph/0611055},
year = {2008}
}
Comments
3 pages, 1 figure