The effect of a fifth large-scale space-time dimension on orbital dynamics
| dc.creator | Gerrard, M. B. | |
| dc.creator | Sumner, T. J. | |
| dc.date | 2006-05-12 | |
| dc.date | 2007-10-10 | |
| dc.date.accessioned | 2026-07-07T08:35:11Z | |
| dc.date.available | 2026-07-07T08:35:11Z | |
| dc.description | A model based on simple assumptions about 4-dimensional space-time being closed and isotropic, and embedded in a 5th 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 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 5-dimensional model is adopted. The paper also includes the derivation of an effect in 5-dimensional orbital dynamics which is in reasonable agreement with the observed Pioneer Anomaly. | |
| dc.description | 15 pages, 9 figures Updated to include Pioneer Anomaly - 1 additional figure | |
| dc.identifier | https://arxiv.org/abs/gr-qc/0605080 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/0605080 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/139670 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | The effect of a fifth large-scale space-time dimension on orbital dynamics | |
| dc.type | text |