In this paper, we used Howusu’s planetary equation. The general equation of motion is derived for particle of non-zero rest mass in a gravitational field based upon Riemannian geometry and the golden metric tensor which is thereby opens the way for further studies or to pave the way for applications such as planetary theory.
| Published in | American Journal of Modern Physics (Volume 6, Issue 6) |
| DOI | 10.11648/j.ajmp.20170606.13 |
| Page(s) | 127-131 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2024. Published by Science Publishing Group |
Golden Metric Tensor, Geodesic Equation, Coefficient of Affine Connection
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| [2] | Howusu, S. X. K. (2009). “Riemannian Revolutions in physics and mathematics V the golden metric tensor in orthogonal curvilinear coordinates”. Pp. (1-9) |
| [3] | Weinberg S. (1972). Principles and applications of the General Theory of Relativity. New York: J. Wiley and Sons |
| [4] | Rajput, B. S. (2010). “Mathematical physics. Pragati Prakashan publisher.” Pp (891-895) |
| [5] | Spiegel, M. R. (1974) “Theory and problems of vector analysis and introduction to tensor analysis”. McGraw Hill, New York. Pp (193-195)5-7 |
| [6] | Howusu, S. X. K. (2009). “Riemannian Revolution in Physics and Mathematics II; The Great Metric Tensor and Principles”. Pp. (40-41) |
| [7] | N. Yakubu, S. X. K. Howusu, W. L. Lumbi, N. Ibrahim. (2016): Solution of Newton’s Gravitational Field Equation of a Static Homogeneous Oblate Spheroidal Massive Body: International Journal of Theoretical and Mathematical Physics. 6(3): 104-109 |
| [8] | Y. Nura, S. X. K. Howusu, L. W. Lumbi, I. Nuhu, A. Hayatu.(2017). The Generalized Planetary Equations Based upon Riemannian geometry and the Golden Metric Tensor: International Journal of Theoretical and Mathematical Physics, 7(2): 25-35 DOI: 10.5923/j.ijtmp.20170702.02 |
| [9] | Nura, Y. Howusu S. X. K. and Nuhu, I. (2016). General linear acceleration vector based on the golden metric tensor in Spherical polar coordinates (paper I): International Journal of Current Research in Life Sciences Vol. 05, No. 12, pp. 627-633 |
| [10] | Howusu S. X. K. (2009). The metric tensors for gravitational Fields and the mathematical principles of Riemannian theoretical physics. Jos University Press. Pp 15-16 |
APA Style
Nura Yakubu, Samuel Xede Kofi Howusu, Nuhu Ibrahim, Ado Musa, Abbas Babakura. (2017). The General Equation of Motion in a Gravitational Field Based Upon the Golden Metric Tensor. American Journal of Modern Physics, 6(6), 127-131. https://doi.org/10.11648/j.ajmp.20170606.13
ACS Style
Nura Yakubu; Samuel Xede Kofi Howusu; Nuhu Ibrahim; Ado Musa; Abbas Babakura. The General Equation of Motion in a Gravitational Field Based Upon the Golden Metric Tensor. Am. J. Mod. Phys. 2017, 6(6), 127-131. doi: 10.11648/j.ajmp.20170606.13
AMA Style
Nura Yakubu, Samuel Xede Kofi Howusu, Nuhu Ibrahim, Ado Musa, Abbas Babakura. The General Equation of Motion in a Gravitational Field Based Upon the Golden Metric Tensor. Am J Mod Phys. 2017;6(6):127-131. doi: 10.11648/j.ajmp.20170606.13
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Download@article{10.11648/j.ajmp.20170606.13,
author = {Nura Yakubu and Samuel Xede Kofi Howusu and Nuhu Ibrahim and Ado Musa and Abbas Babakura},
title = {The General Equation of Motion in a Gravitational Field Based Upon the Golden Metric Tensor},
journal = {American Journal of Modern Physics},
volume = {6},
number = {6},
pages = {127-131},
doi = {10.11648/j.ajmp.20170606.13},
url = {https://doi.org/10.11648/j.ajmp.20170606.13},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmp.20170606.13},
abstract = {In this paper, we used Howusu’s planetary equation. The general equation of motion is derived for particle of non-zero rest mass in a gravitational field based upon Riemannian geometry and the golden metric tensor which is thereby opens the way for further studies or to pave the way for applications such as planetary theory.},
year = {2017}
}
TY - JOUR T1 - The General Equation of Motion in a Gravitational Field Based Upon the Golden Metric Tensor AU - Nura Yakubu AU - Samuel Xede Kofi Howusu AU - Nuhu Ibrahim AU - Ado Musa AU - Abbas Babakura Y1 - 2017/09/22 PY - 2017 N1 - https://doi.org/10.11648/j.ajmp.20170606.13 DO - 10.11648/j.ajmp.20170606.13 T2 - American Journal of Modern Physics JF - American Journal of Modern Physics JO - American Journal of Modern Physics SP - 127 EP - 131 PB - Science Publishing Group SN - 2326-8891 UR - https://doi.org/10.11648/j.ajmp.20170606.13 AB - In this paper, we used Howusu’s planetary equation. The general equation of motion is derived for particle of non-zero rest mass in a gravitational field based upon Riemannian geometry and the golden metric tensor which is thereby opens the way for further studies or to pave the way for applications such as planetary theory. VL - 6 IS - 6 ER -
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