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Mass Estimation in the Globular Cluster M4

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Abstract

Using the kinematical data we try to solve the Jeans equation to provide mass estimation of the globular cluster M4. The proper motion data provides two independent velocity dispersion profiles which we need in this estimation. Moreover, we have calculated the density distribution function and checked the anisotropy of the velocity dispersion.

The comparison of the dynamical mass with the estimation stellar mass for M4 gives the best estimation of the mass inside a spherical shell centered on the cluster, with a radius corresponding to 840 arcsec on the sky, as 4-5× 104 M\( \odot \).

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Amin, M., Rassem, M. & Marie, M. Mass Estimation in the Globular Cluster M4. Astrophysics and Space Science 250, 137–146 (1997). https://doi.org/10.1023/A:1000402209617

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