The Local Group as a test system for Modified Newtonian Dynamics

David Benisty; Eduardo I. Guendelman

doi:10.1016/j.dark.2020.100708

The Local Group as a test system for Modified Newtonian Dynamics

David Benisty, Eduardo I. Guendelman

Department of Physics

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8 Scopus citations

Abstract

The Local Group (LG) is an appropriate test system for Modified Newtonian Dynamics, since the acceleration of M31 galaxy is fully in the deep MOND regime a≪a₀. We model the LG as a two body problem of M31 and the Milky Way (MW) galaxies. Extending previous studies, we also include the Cosmological Constant. The assumption that in the big bang the galaxies emerged from the same place and approach to the measured distance and velocity today (the Timing Argument), predicts the total mass for the LG: (0.447±0.005)⋅10¹²M_⊙. The corresponding motion of the LG predicts a past encounter. The ratio between the baryonic mass that MOND considers to the mass that Newtonian case predicted, which includes dark matter is 10.74±0.82. This ratio agrees with the ratio between the dark matter and baryonic matter in other galaxies.

Original language	English
Article number	100708
Journal	Physics of the Dark Universe
Volume	30
DOIs	https://doi.org/10.1016/j.dark.2020.100708
State	Published - 1 Dec 2020

ASJC Scopus subject areas

Astronomy and Astrophysics
Space and Planetary Science

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title = "The Local Group as a test system for Modified Newtonian Dynamics",

abstract = "The Local Group (LG) is an appropriate test system for Modified Newtonian Dynamics, since the acceleration of M31 galaxy is fully in the deep MOND regime a≪a0. We model the LG as a two body problem of M31 and the Milky Way (MW) galaxies. Extending previous studies, we also include the Cosmological Constant. The assumption that in the big bang the galaxies emerged from the same place and approach to the measured distance and velocity today (the Timing Argument), predicts the total mass for the LG: (0.447±0.005)⋅1012M⊙. The corresponding motion of the LG predicts a past encounter. The ratio between the baryonic mass that MOND considers to the mass that Newtonian case predicted, which includes dark matter is 10.74±0.82. This ratio agrees with the ratio between the dark matter and baryonic matter in other galaxies.",

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AU - Guendelman, Eduardo I.

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AB - The Local Group (LG) is an appropriate test system for Modified Newtonian Dynamics, since the acceleration of M31 galaxy is fully in the deep MOND regime a≪a0. We model the LG as a two body problem of M31 and the Milky Way (MW) galaxies. Extending previous studies, we also include the Cosmological Constant. The assumption that in the big bang the galaxies emerged from the same place and approach to the measured distance and velocity today (the Timing Argument), predicts the total mass for the LG: (0.447±0.005)⋅1012M⊙. The corresponding motion of the LG predicts a past encounter. The ratio between the baryonic mass that MOND considers to the mass that Newtonian case predicted, which includes dark matter is 10.74±0.82. This ratio agrees with the ratio between the dark matter and baryonic matter in other galaxies.

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The Local Group as a test system for Modified Newtonian Dynamics

Abstract

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