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Applied Mathematics & Information Sciences Letters
An International Journal
               
 
 
 
 
 
 
 
 
 
 
 
 

Content
 

Volumes > Vol. 10 > No. 02

 
   

Solution of Gravitational Scalar Potential Exterior and Interior to the Circular-Cylindrical Bodies

PP: 23-29
doi:10.18576/amisl/100201
Author(s)
A. U. Maisalatee, U. Rilwan, S. Muhammad, M. M. Azos, C. O. Ogabi, Abdullahi Musa,
Abstract
In this study, we determine the gravitational scalar potential exterior and interior to the circular-cylindrical bodies by applying the conditions of continuity across all boundaries and normal derivation. Our proposed scalar potential could be used in the limit of weak field to study the energy of system in space along cylindrical coordinate. The reliability of our results still maintains the lead Newton Dynamical Theory of Gravity (NDTG) over all gravitational theory and we hope in the nearest future the practicability of these results shall soon be discovered and applied. This equation contains the density term contribution, which is Inverse Square of the scalar potential which can further be explore. The square density contribution is the contributory factor to the cylindrical satellite’s stability in space, which may likely account for the anomalous over stayed of Synchom satellites in its parking orbit. It is therefore recommended that the results from this research work be applied to some of the bodies in the universe that are circular-cylindrical in shape in other to obtain their field equation and hence the planetary parameters such as their orbital eccentricity which can be applied in the study of weather condition.

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