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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 $a \ll a_0$. We model the LG as a two body problem of $M31$ and the Milky Way (MW)…

Cosmology and Nongalactic Astrophysics · Physics 2020-08-25 David Benisty , Eduardo I. Guendelman

The total mass of the Local Group (LG) and the masses of its primary constituents, the Milky Way and M31, are important anchors for several cosmological questions. In recent years, independent measurements have consistently yielded halo…

Astrophysics of Galaxies · Physics 2023-03-29 Till Sawala , Meri Teeriaho , Peter H. Johansson

The mass of the Local Group (LG) is a crucial parameter for galaxy formation theories. However, its observational determination is challenging - its mass budget is dominated by dark matter which cannot be directly observed. To meet this end…

Astrophysics of Galaxies · Physics 2017-01-12 Edoardo Carlesi , Yehuda Hoffman , Jenny G. Sorce , Stefan Gottlöber

We revisit the estimation of the combined mass of the Milky Way and Andromeda (M31), which dominate the mass of the Local Group. We make use of an ensemble of 30,190 halo pairs from the Small MultiDark simulation, assuming a $\Lambda$CDM…

Astrophysics of Galaxies · Physics 2017-12-27 Michael McLeod , Noam Libeskind , Ofer Lahav , Yehuda Hoffman

High accuracy proper motions (PMs) of M31 and other Local Group satellites have now been provided by the {\it Gaia} satellite. We revisit the Timing Argument to compute the total mass $M$ of the Local Group from the orbit of the Milky Way…

Astrophysics of Galaxies · Physics 2022-03-23 David Benisty , Eugene Vasiliev , N. Wyn Evans , Anne-Christine Davis , Odelia V. Hartl , Louis E. Strigari

The dynamics of the Local Group (LG), especially the contribution of the Milky Way (MW) and Andromeda (M31) galaxies, is sensitive to the presence of dark energy. This work analyzes the evolution of the LG by considering it as a two-body…

Cosmology and Nongalactic Astrophysics · Physics 2024-09-04 David Benisty

The classic model of the Local Group (LG) is that of two dominant constituents, the Milky Way and M31, first separating and then detaching from the Hubble flow, leading to a nearly radial approaching orbit. This simple model has been…

Cosmology and Nongalactic Astrophysics · Physics 2025-08-26 Louis E. Strigari

We use semi-analytic galaxy catalogs based on two high-resolution cosmological $N$-body simulations, Millennium-WMAP7 and Millennium-II, to investigate the formation of the Local Group (LG) analogs. Unlike previous studies, we use the…

Astrophysics of Galaxies · Physics 2020-02-19 Meng Zhai , Qi Guo , Gang Zhao , Qing Gu , Ang Liu

We present a novel approach based on Bayesian field-level inference capable of resolving individual galaxies within the Local Group (LG), enabling detailed studies of its structure and formation via posterior simulations. We extend the…

Astrophysics of Galaxies · Physics 2024-11-27 Ewoud Wempe , Guilhem Lavaux , Simon D. M. White , Amina Helmi , Jens Jasche , Stephen Stopyra

In the rest frame of the Local Group (LG), the total momentum of the Milky Way (MW) and Andromeda (M31) should balance to zero. We use this fact to constrain new solutions for the solar motion with respect to the LG centre-of-mass, the…

Astrophysics of Galaxies · Physics 2015-06-19 Jonathan D. Diaz , Sergey E. Koposov , Mike Irwin , Vasily Belokurov , Wyn Evans

We use Density Estimation Likelihood-Free Inference, $\Lambda$ Cold Dark Matter simulations of $\sim 2M$ galaxy pairs, and data from Gaia and the Hubble Space Telescope to infer the sum of the masses of the Milky Way and Andromeda (M31)…

Astrophysics of Galaxies · Physics 2021-01-20 Pablo Lemos , Niall Jeffrey , Lorne Whiteway , Ofer Lahav , Niam I Libeskind , Yehuda Hoffman

The mass of the Local Group (LG), comprising the Milky Way (MW), Andromeda (M31), and their satellites, is crucial for validating galaxy formation and cosmological models. Traditional virial mass estimates, which rely on line-of-sight (LoS)…

Astrophysics of Galaxies · Physics 2025-06-04 David Benisty , David Mota

We combine the equations of motion that govern the dynamics of galaxies in the local volume with Bayesian techniques in order to fit orbits to published distances and velocities of galaxies within $\sim 3$ Mpc. We find a Local Group (LG)…

Astrophysics of Galaxies · Physics 2015-06-19 Jorge Peñarrubia , Yin-Zhe Ma , Matthew G. Walker , Alan McConnachie

We use recent proper motion measurements of the tangential velocity of M31, along with its radial velocity and distance, to derive the likelihood of the sum of halo masses of the Milky Way and M31. This is done using a sample halo pairs in…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-18 Roberto E. Gonzalez , Andrey V. Kravtsov , Nickolay Y. Gnedin

The positions and velocities of galaxies in the Local Group (LG) measure the gravitational field within it. This is mostly due to the Milky Way (MW) and Andromeda (M31). We constrain their masses using distance and radial velocity (RV)…

Astrophysics of Galaxies · Physics 2026-05-12 Indranil Banik , Hongsheng Zhao

We identify Local Group (LG) analogs in the IllustrisTNG cosmological simulation, and use these to study two mass estimators for the LG: one based on the timing argument (TA) and one based on the virial theorem (VT). Including updated…

Cosmology and Nongalactic Astrophysics · Physics 2022-04-06 Odelia V. Hartl , Louis E. Strigari

This paper explores the effect of the LMC on the mass estimates obtained from the timing argument. We show that accounting for the presence of the LMC systematically lowers the Local Group mass ($M_{\rm LG}$) derived from the relative…

Astrophysics of Galaxies · Physics 2015-12-02 Jorge Peñarrubia , Facundo A. Gómez , Gurtina Besla , Denis Erkal , Yin-Zhe Ma

Space observatories like the Hubble Space Telescope and Gaia are providing unprecedented 6D phase space information of satellite galaxies. Such measurements can shed light on the structure and assembly history of the Local Group, but…

Astrophysics of Galaxies · Physics 2017-05-03 Ekta Patel , Gurtina Besla , Kaisey Mandel

The total mass of the Local Group (LG) is a fundamental quantity that enables interpreting the orbits of its constituent galaxies and placing the LG in a cosmological context. One of the few methods that allows inferring the total mass…

The kinematics of the Milky Way (MW) and M31, the dominant galaxies in the Local Group (LG), can be used to estimate the LG total mass. New results on the M31 proper motion have recently been used to improve that estimate. Those results are…

Cosmology and Nongalactic Astrophysics · Physics 2022-09-21 J. E. Forero-Romero , D. Sierra-Porta
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