A test of Newtonian gravitation for large distances

Statistics – Computation

Scientific paper

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Computational Astrophysics, Dark Matter, Distance, Galactic Clusters, Gravitation Theory, Brightness Distribution, Luminosity, Newton Theory

Scientific paper

A test of Newtonian gravitation for distances of the order of a megaparsec is proposed. This is accomplished by assuming Newton's laws of motion, and a force law of the form F = kmm-prime/r exp alpha, where alpha is to be determined. The test is applied to nine galaxy clusters, and a result of alpha = 1.75 is obtained, with a large uncertainty which is diffucult to quantify. If alpha is an integer, then alpha = 2 is clearly the most likely value, but the test does not yet rule out the possibility that alpha = 1.

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