Testing fundamental physics with distant star clusters: theoretical models for pressure-supported stellar systems |
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| Authors: | Hosein Haghi Holger Baumgardt Pavel Kroupa Eva K Grebel Michael Hilker Katrin Jordi |
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| Institution: | Department of Physics, Institute for Advanced Studies in Basic Sciences (IASBS), PO Box 45195-1159, Zanjan 45195, Iran;Argelander Institute for Astronomy (AIfA), Auf dem Hügel 71, D-53121 Bonn, Germany;Astronomisches Rechen-Institut, Zentrum fuer Astronomie, Universitaet Heidelberg, D-69120 Heidelberg, Germany;ESO, D-85748 Garching bei München, Germany |
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| Abstract: | We investigate the mean velocity dispersion and the velocity dispersion profile of stellar systems in modified Newtonian dynamics (MOND), using the N -body code n-mody , which is a particle-mesh-based code with a numerical MOND potential solver developed by Ciotti, Londrillo & Nipoti. We have calculated mean velocity dispersions for stellar systems following Plummer density distributions with masses in the range of 104 to 109 M⊙ and which are either isolated or immersed in an external field. Our integrations reproduce previous analytic estimates for stellar velocities in systems in the deep MOND regime ( a i, a e? a 0) , where the motion of stars is either dominated by internal accelerations ( a i? a e) or constant external accelerations ( a e? a i) . In addition, we derive for the first time analytic formulae for the line-of-sight velocity dispersion in the intermediate regime ( a i～ a e～ a 0) . This allows for a much-improved comparison of MOND with observed velocity dispersions of stellar systems. We finally derive the velocity dispersion of the globular cluster Pal 14 as one of the outer Milky Way halo globular clusters that have recently been proposed as a differentiator between Newtonian and MONDian dynamics. |
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| Keywords: | gravitation methods: analytical methods: N-body simulations galaxies: clusters: general galaxies: dwarf |
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