Constraining the Milky Way Dynamic Mass and Newtonian Gravity through the Proper Motion of Messier’s Globular Clusters

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The estimation of the proper motion of globular clusters is presented from the oldest observations of Messier's Globular clusters, comparing with NASA-NED and GAIA. The period-distance relationship, without assuming Dark matter models, allows us to limit the dynamic mass of the Milky Way and the invalidity of the Keplerian movement of Globular Clusters. The best fitting data are 14 2.3 0.3210 ± M for the dynamical mass, and β ≅ −5 3 in agreement with the generalization of the Virial Theorem in large-scale modified Newtonian gravity models.