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An approximate analytical method for inferring the law of gravity from the macroscopic dynamics: Thindisk mass distribution with exponential density  Carlos RodrigoBlanco
;  Date: 
9 May 1996  Abstract:  The gravitational potential and the gravitational rotation field generated by a thindisk mass distribution with exponential density are considered in the case when the force between any two mass elements is not the usual Newtonian one, but some general central force. We use an approximation such that in the Newtonian case the gravitational field generated by the disk reduces to the familiar expression that results from applying the Gauss’ law. In this approximation, we invert the usual integral relations in such a way that the elemental interaction (between two pointlike masses) is obtained as a function of the overall gravitational field (the one generated by the distribution). Thus, we have a direct way for testing whether it is possible or not to find a correction to the Newtonian law of gravity that can explain the observed dynamics in spiral galaxies without dark matter.  Source:  arXiv, astroph/9605045  Services:  Forum  Review  PDF  Favorites 


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