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An improved model of the galactic mass distribution for orbit computations

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TL;DRAbstract

A realistic, yet very simple and analytical model for the galactic mass distribution is presented, which improves upon a similar model proposed in Allen C. and Martos M.A. (1986, Rev.Mex.A.A., 13). The new potential is completely analytical; the density can be obtained from it in closed form and it is positive everywhere. Extreme mathematical simplicity is retained, as well as a good representation of the observed values of both the rotation curve and the perpendicular force

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A realistic, yet very simple and analytical model for the galactic mass distribution is presented, which improves upon a similar model proposed in Allen C. and Martos M.A. (1986, Rev.Mex.A.A., 13). The new potential is completely analytical; the density can be obtained from it in closed form and it is positive everywhere. Extreme mathematical simplicity is retained, as well as a good representation of the observed values of both the rotation curve and the perpendicular force

Keywords

PhysicsSimplicitySimple (philosophy)Mass distributionOrbit (dynamics)ComputationGalaxy rotation curveDistribution (mathematics)

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