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In this paper, we investigate the external field effect in the context of theMOdified Newtonian Dynamics (MOND) on the surface brightness and velocitydispersion profiles of globular clusters (GCs). Using N-MODY, which is anN-body simulation code with a MOND potential solver, we show that the generaleffect of the external field for diffuse clusters, which obey MOND in most oftheir parts, is that it pushes the dynamics towards the Newtonian regime. Onthe other hand, for more compact clusters, which are essentially Newtonian intheir inner parts, the external field is effective mainly in the outer parts ofcompact clusters. As a case study, we then choose the remote Galactic GC NGC2419. By varying the cluster mass, half-light radius, and mass-to-light ratiowe aim to find a model that will reproduce the observational data mosteffectively, using N-MODY. We find that even if we take the Galactic externalfield into account, a Newtonian Plummer sphere represents the observationaldata better than MOND to an order of magnitude in terms of the total $\chi^2$of surface brightness and velocity dispersion.

The MOND External Field Effect on the Dynamics of the Globular Clusters: General Considerations and Application to NGC 2419