On the Resolution \textit{of} the Azimuthally Symmetric Theory of Gravitation's $\lambda$-Parameters

Authors: G. G. Nyambuya

In Newtonian gravitational physics, as currently understood, the spin of a gravitating body has no effect on the nature of the gravitational field emergent from this gravitating body. This position has been questioned by the Azimuthally Symmetric Theory of Gravitation (ASTG-model; in Nyambuya $2010$). From the ASTG-model -- which is a theory resulting from the consideration of the azimuthally symmetric solutions of the well known and well accepted Poisson-Laplace equation for gravitation, it has been argued that it is possible to explain the unexpected perihelion shift of Solar planetary orbits. However, as it stands in the present, the ASTG-model suffers from the apparent diabolic defect that there are unknown parameters ($\lambda$'s) in the theory that up to now have not been able to be adequately deduced from theory. If this defect is not taken care of, it would consume the theory altogether, bringing it to a complete standstill, to nothing but an obsolete theory. Effort in resolving this defect has been made in the genesis reading of the theory \textit{i.e.} in \cite{nyambuya10a}. This initial effort in trying to resolve this problem is not complete. In this short reading, we present what we believe is a significant improvement to the resolution of this problem. If this effort proves itself correct, then the ASTG-model is set on a sure pedal to make predictions without having to relay on observations to deduce these unknown parameters. Other than resolving the $\lambda$-parameter problem, this reading is designed to serve as an exposition of the ASTG-model as it currently stands.

Comments: 16 Pages. This paper solves the Lambda-Parameter problem of the the theory laid MNRAS, 403, 1381-1391

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Submission history

[v1] 17 Jan 2011
[v2] 2012-01-23 03:31:47

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