The Effect of a Fifth Large - Scale Space - Time Dimension on Orbital Dynamics

A model based on simple assumptions about 4-dimensional space-time being closed and isotropic, and embedded in a 5 th large-scale dimension r representing the radius of curvature of space-time, has been used in an application of Newton's Second Law to describe a system with angular momentum. It has been found that the equations of MOND used to explain the rotation curves of galaxies appear as a limit within this derivation and that there is a universal acceleration constant, ao, with a well defined value, again consistent with that used by MOND. This approach does not require modification of Newtonian dynamics, only its extension into a fifth large-scale dimension. The transition from the classical Newtonian dynamics to the MOND regime emerges naturally and without the introduction of arbitrary fitting functions, if this five-dimensional model is adopted.