Determination of Dark Matter Halo Mass from Dynamics of Satellite Galaxies
Abstract
We propose that the mass of a dark matter halo can be inferred from the dynamical status of its satellite galaxies. Using nine dark matter simulations of halos like the Milky Way (MW), we find that the present-day substructures in each halo follow a characteristic distribution in the phase space of orbital binding energy and angular momentum, and that this distribution is similar from halo to halo, but has an intrinsic dependence on the halo formation history. We build this distribution directly from the simulations for a specific halo and extend the result to halos of similar formation history but different masses by scaling. The mass of an observed halo can then be estimated by maximizing the likelihood in comparing the measured kinematic parameters of its satellite galaxies with these distributions. We test the validity and accuracy of this method with mock samples taken from the simulations. Using the positions, radial velocities, and proper motions of nine tracers and assuming observational uncertainties comparable to those of MW satellite galaxies, we find that the halo mass can be recovered to within $$\sim 40 \% $$. The accuracy can be improved to within ~25% if 30 tracers are used. Yet, the dependence of the phase-space distribution on the halo formation history sets a minimum uncertainty of $$\sim 20 \% $$ that cannot be reduced by using more tracers. We believe that this minimum uncertainty also applies to any mass determination for a halo when the phase-space information of other kinematic tracers is used.
- Authors:
-
[1];
[2];
[3];
- Key Lab. for Research in Galaxies and Cosmology, Shanghai (China); Chinese Academy of Sciences (CAS), Beijing (China)
- Shanghai Jiao Tong Univ., Shanghai (China)
- Univ. of Minnesota, Minneapolis, MN (United States); Tsung-Dao Lee Inst., Shanghai (China)
- Key Lab. for Research in Galaxies and Cosmology, Shanghai (China)
- Publication Date:
- Research Org.:
- Univ. of Minnesota, Minneapolis, MN (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Nuclear Physics (NP)
- OSTI Identifier:
- 1511018
- Grant/Contract Number:
- FG02-87ER40328
- Resource Type:
- Accepted Manuscript
- Journal Name:
- The Astrophysical Journal (Online)
- Additional Journal Information:
- Journal Name: The Astrophysical Journal (Online); Journal Volume: 850; Journal Issue: 2; Journal ID: ISSN 1538-4357
- Publisher:
- Institute of Physics (IOP)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 79 ASTRONOMY AND ASTROPHYSICS; dark matter; galaxies; dwarf Galaxy; halo Galaxy; kinematics and dynamics; numerical methods; statistical methods
Citation Formats
Li, Zhao-Zhou, Jing, Y. P., Qian, Yong-Zhong, Yuan, Zhen, and Zhao, Dong-Hai. Determination of Dark Matter Halo Mass from Dynamics of Satellite Galaxies. United States: N. p., 2017.
Web. doi:10.3847/1538-4357/aa94c0.
Li, Zhao-Zhou, Jing, Y. P., Qian, Yong-Zhong, Yuan, Zhen, & Zhao, Dong-Hai. Determination of Dark Matter Halo Mass from Dynamics of Satellite Galaxies. United States. https://doi.org/10.3847/1538-4357/aa94c0
Li, Zhao-Zhou, Jing, Y. P., Qian, Yong-Zhong, Yuan, Zhen, and Zhao, Dong-Hai. Wed .
"Determination of Dark Matter Halo Mass from Dynamics of Satellite Galaxies". United States. https://doi.org/10.3847/1538-4357/aa94c0. https://www.osti.gov/servlets/purl/1511018.
@article{osti_1511018,
title = {Determination of Dark Matter Halo Mass from Dynamics of Satellite Galaxies},
author = {Li, Zhao-Zhou and Jing, Y. P. and Qian, Yong-Zhong and Yuan, Zhen and Zhao, Dong-Hai},
abstractNote = {We propose that the mass of a dark matter halo can be inferred from the dynamical status of its satellite galaxies. Using nine dark matter simulations of halos like the Milky Way (MW), we find that the present-day substructures in each halo follow a characteristic distribution in the phase space of orbital binding energy and angular momentum, and that this distribution is similar from halo to halo, but has an intrinsic dependence on the halo formation history. We build this distribution directly from the simulations for a specific halo and extend the result to halos of similar formation history but different masses by scaling. The mass of an observed halo can then be estimated by maximizing the likelihood in comparing the measured kinematic parameters of its satellite galaxies with these distributions. We test the validity and accuracy of this method with mock samples taken from the simulations. Using the positions, radial velocities, and proper motions of nine tracers and assuming observational uncertainties comparable to those of MW satellite galaxies, we find that the halo mass can be recovered to within $\sim 40 \% $. The accuracy can be improved to within ~25% if 30 tracers are used. Yet, the dependence of the phase-space distribution on the halo formation history sets a minimum uncertainty of $\sim 20 \% $ that cannot be reduced by using more tracers. We believe that this minimum uncertainty also applies to any mass determination for a halo when the phase-space information of other kinematic tracers is used.},
doi = {10.3847/1538-4357/aa94c0},
journal = {The Astrophysical Journal (Online)},
number = 2,
volume = 850,
place = {United States},
year = {Wed Nov 22 00:00:00 EST 2017},
month = {Wed Nov 22 00:00:00 EST 2017}
}
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Works referenced in this record:
From dwarf spheroidals to cD galaxies: simulating the galaxy population in a ΛCDM cosmology: Galaxy formation in a ΛCDM cosmology
journal, February 2011
- Guo, Qi; White, Simon; Boylan-Kolchin, Michael
- Monthly Notices of the Royal Astronomical Society, Vol. 413, Issue 1
The Space Motion of leo i: the mass of the Milky Way'S dark Matter halo
journal, April 2013
- Boylan-Kolchin, Michael; Bullock, James S.; Sohn, Sangmo Tony
- The Astrophysical Journal, Vol. 768, Issue 2
The Milky Way’s Circular Velocity Curve to 60 kpc and an Estimate of the Dark Matter Halo Mass from the Kinematics of ∼2400 SDSS Blue Horizontal‐Branch Stars
journal, September 2008
- Xue, X. X.; Rix, H. W.; Zhao, G.
- The Astrophysical Journal, Vol. 684, Issue 2
Proper Motions of Dwarf Spheroidal Galaxies from Hubble Space Telescope Imaging. II. Measurement for Carina
journal, November 2003
- Piatek, Slawomir; Pryor, Carlton; Olszewski, Edward W.
- The Astronomical Journal, Vol. 126, Issue 5
Dynamical history of the Local Group in ΛCDM
journal, April 2016
- Banik, Indranil; Zhao, Hongsheng
- Monthly Notices of the Royal Astronomical Society, Vol. 459, Issue 2
The masses of the Milky Way and Andromeda galaxies: The masses of the Milky Way and Andromeda galaxies
journal, May 2010
- Watkins, Laura L.; Evans, N. Wyn; An, Jin H.
- Monthly Notices of the Royal Astronomical Society, Vol. 406, Issue 1
The Galaxy in Context: Structural, Kinematic, and Integrated Properties
journal, September 2016
- Bland-Hawthorn, Joss; Gerhard, Ortwin
- Annual Review of Astronomy and Astrophysics, Vol. 54, Issue 1
‘Skinny Milky Way please’, says Sagittarius
journal, October 2014
- Gibbons, S. L. J.; Belokurov, V.; Evans, N. W.
- Monthly Notices of the Royal Astronomical Society, Vol. 445, Issue 4
Resolving subhaloes’ lives with the Hierarchical Bound-Tracing algorithm: Hierarchical Bound-Tracing algorithm
journal, November 2012
- Han, Jiaxin; Jing, Y. P.; Wang, Huiyuan
- Monthly Notices of the Royal Astronomical Society, Vol. 427, Issue 3
A dynamics-free lower bound on the mass of our Galaxy
journal, November 2016
- Zaritsky, Dennis; Courtois, Helene
- Monthly Notices of the Royal Astronomical Society, Vol. 465, Issue 3
The rotationally stabilized VPOS and predicted proper motions of the Milky Way satellite galaxies
journal, September 2013
- Pawlowski, Marcel S.; Kroupa, Pavel
- Monthly Notices of the Royal Astronomical Society, Vol. 435, Issue 3
Accurate masses for dispersion-supported galaxies: Accurate masses for spheroidal galaxies
journal, May 2010
- Wolf, Joe; Martinez, Gregory D.; Bullock, James S.
- Monthly Notices of the Royal Astronomical Society
The cosmological simulation code gadget-2
journal, December 2005
- Springel, Volker
- Monthly Notices of the Royal Astronomical Society, Vol. 364, Issue 4
The orbital PDF: the dynamical state of Milky Way sized haloes and the intrinsic uncertainty in the determination of their masses
journal, December 2015
- Han, Jiaxin; Wang, Wenting; Cole, Shaun
- Monthly Notices of the Royal Astronomical Society, Vol. 456, Issue 1
Masses for the Local Group and the Milky Way
journal, March 2008
- Li, Yang-Shyang; White, Simon D. M.
- Monthly Notices of the Royal Astronomical Society, Vol. 384, Issue 4
Proper Motions of Dwarf Spheroidal Galaxies from Hubble Space Telescope Imaging. III. Measurement for Ursa Minor
journal, July 2005
- Piatek, Slawomir; Pryor, Carlton; Bristow, Paul
- The Astronomical Journal, Vol. 130, Issue 1
The Density Profiles of the Dark Matter Halo Are Not Universal
journal, February 2000
- Jing, Y. P.; Suto, Yasushi
- The Astrophysical Journal, Vol. 529, Issue 2
A common mass scale for satellite galaxies of the Milky Way
journal, August 2008
- Strigari, Louis E.; Bullock, James S.; Kaplinghat, Manoj
- Nature, Vol. 454, Issue 7208
Velocity bias from the small-scale clustering of SDSS-III BOSS galaxies
journal, November 2014
- Guo, Hong; Zheng, Zheng; Zehavi, Idit
- Monthly Notices of the Royal Astronomical Society, Vol. 446, Issue 1
The orbital ellipticity of satellite galaxies and the mass of the Milky Way
journal, November 2013
- Barber, Christopher; Starkenburg, Else; Navarro, Julio F.
- Monthly Notices of the Royal Astronomical Society, Vol. 437, Issue 1
Astropy: A community Python package for astronomy
journal, September 2013
- Robitaille, Thomas P.; Tollerud, Erik J.; Greenfield, Perry
- Astronomy & Astrophysics, Vol. 558
Estimating the dark matter halo mass of our Milky Way using dynamical tracers
journal, August 2015
- Wang, Wenting; Han, Jiaxin; Cooper, Andrew P.
- Monthly Notices of the Royal Astronomical Society, Vol. 453, Issue 1
The Halo Occupation Distribution and the Physics of Galaxy Formation
journal, August 2003
- Berlind, Andreas A.; Weinberg, David H.; Benson, Andrew J.
- The Astrophysical Journal, Vol. 593, Issue 1
What to expect from dynamical modelling of galactic haloes
journal, June 2017
- Wang, Wenting; Han, Jiaxin; Cole, Shaun
- Monthly Notices of the Royal Astronomical Society, Vol. 470, Issue 2
Spatial and Dynamical Biases in Velocity Statistics of Galaxies
journal, June 2003
- Yoshikawa, Kohji; Jing, Y. P.; Borner, Gerhard
- The Astrophysical Journal, Vol. 590, Issue 2
Too big to fail? The puzzling darkness of massive Milky Way subhaloes: Massive dark subhaloes in the Milky Way
journal, June 2011
- Boylan-Kolchin, Michael; Bullock, James S.; Kaplinghat, Manoj
- Monthly Notices of the Royal Astronomical Society: Letters, Vol. 415, Issue 1
Proper Motions of Dwarf Spheroidal Galaxies from [ITAL]Hubble Space Telescope[/ITAL] Imaging. I. Method and a Preliminary Measurement for Fornax
journal, December 2002
- Piatek, Slawomir; Pryor, Carlton; Olszewski, Edward W.
- The Astronomical Journal, Vol. 124, Issue 6
The satellites of the Milky Way – insights from semi-analytic modelling in a ΛCDM cosmology
journal, December 2012
- Starkenburg, Else; Helmi, Amina; De Lucia, Gabriella
- Monthly Notices of the Royal Astronomical Society, Vol. 429, Issue 1
The Observed Properties of Dwarf Galaxies in and Around the Local Group
journal, June 2012
- McConnachie, Alan W.
- The Astronomical Journal, Vol. 144, Issue 1
Hundreds of Milky Way Satellites? Luminosity Bias in the Satellite Luminosity Function
journal, November 2008
- Tollerud, Erik J.; Bullock, James S.; Strigari, Louis E.
- The Astrophysical Journal, Vol. 688, Issue 1
A timing constraint on the (total) mass of the Large Magellanic Cloud
journal, November 2015
- Peñarrubia, Jorge; Gómez, Facundo A.; Besla, Gurtina
- Monthly Notices of the Royal Astronomical Society: Letters, Vol. 456, Issue 1
The present and future mass of the Milky Way halo
journal, December 1999
- Wilkinson, M. I.; Evans, N. W.
- Monthly Notices of the Royal Astronomical Society, Vol. 310, Issue 3
The Dependence of Dark Halo Clustering on Formation Epoch and Concentration Parameter
journal, March 2007
- Jing, Y. P.; Suto, Yasushi; Mo, H. J.
- The Astrophysical Journal, Vol. 657, Issue 2
A unified model for the spatial and mass distribution of subhaloes
journal, February 2016
- Han, Jiaxin; Cole, Shaun; Frenk, Carlos S.
- Monthly Notices of the Royal Astronomical Society, Vol. 457, Issue 2
Triaxial Modeling of Halo Density Profiles with High‐Resolution N ‐Body Simulations
journal, August 2002
- Jing, Y. P.; Suto, Yasushi
- The Astrophysical Journal, Vol. 574, Issue 2
Accurate Universal Models for the mass Accretion Histories and Concentrations of dark Matter Halos
journal, November 2009
- Zhao, D. H.; Jing, Y. P.; Mo, H. J.
- The Astrophysical Journal, Vol. 707, Issue 1
The Dark Matter halo of the Milky Way, AD 2013
journal, July 2013
- Nesti, Fabrizio; Salucci, Paolo
- Journal of Cosmology and Astroparticle Physics, Vol. 2013, Issue 07
The missing massive satellites of the Milky Way: Missing massive satellites of the Milky Way
journal, July 2012
- Wang, Jie; Frenk, Carlos S.; Navarro, Julio F.
- Monthly Notices of the Royal Astronomical Society, Vol. 424, Issue 4
The Milky Way's rotation curve out to 100 kpc and its constraint on the Galactic mass distribution
journal, August 2016
- Huang, Y.; Liu, X. -W.; Yuan, H. -B.
- Monthly Notices of the Royal Astronomical Society, Vol. 463, Issue 3
At the survey limits: discovery of the Aquarius 2 dwarf galaxy in the VST ATLAS and the SDSS data
journal, August 2016
- Torrealba, G.; Koposov, S. E.; Belokurov, V.
- Monthly Notices of the Royal Astronomical Society, Vol. 463, Issue 1
Bayesian Mass Estimates of the Milky Way: Including Measurement Uncertainties with Hierarchical Bayes
journal, January 2017
- Eadie, Gwendolyn M.; Springford, Aaron; Harris, William E.
- The Astrophysical Journal, Vol. 835, Issue 2
A new spin on discs of satellite galaxies
journal, April 2015
- Cautun, Marius; Wang, Wenting; Frenk, Carlos S.
- Monthly Notices of the Royal Astronomical Society, Vol. 449, Issue 3
Intergalactic Matter and the Galaxy.
journal, July 1959
- Kahn, F. D.; Waltjer, L.
- The Astrophysical Journal, Vol. 130
Eight new Milky way Companions Discovered in First-Year dark Energy Survey data
journal, June 2015
- Bechtol, K.; Drlica-Wagner, A.; Balbinot, E.
- The Astrophysical Journal, Vol. 807, Issue 1
Galaxy masses
journal, January 2014
- Courteau, Stéphane; Cappellari, Michele; de Jong, Roelof S.
- Reviews of Modern Physics, Vol. 86, Issue 1
Eight Ultra-Faint Galaxy Candidates Discovered in year two of the dark Energy Survey
journal, November 2015
- Drlica-Wagner, A.; Bechtol, K.; Rykoff, E. S.
- The Astrophysical Journal, Vol. 813, Issue 2
Estimating the Galactic mass Profile in the Presence of Incomplete data
journal, June 2015
- Eadie, Gwendolyn M.; Harris, William E.; Widrow, Lawrence M.
- The Astrophysical Journal, Vol. 806, Issue 1
Beasts of the Southern Wild: Discovery of nine Ultra Faint Satellites in the Vicinity of the Magellanic Clouds
journal, May 2015
- Koposov, Sergey E.; Belokurov, Vasily; Torrealba, Gabriel
- The Astrophysical Journal, Vol. 805, Issue 2
A NEW FAINT MILKY WAY SATELLITE DISCOVERED IN THE PAN-STARRS1 3 π SURVEY
journal, March 2015
- Laevens, Benjamin P. M.; Martin, Nicolas F.; Ibata, Rodrigo A.
- The Astrophysical Journal, Vol. 802, Issue 2
The Massive Satellite Population of Milky-Way-Sized Galaxies
journal, August 2013
- Rodríguez-Puebla, Aldo; Avila-Reese, Vladimir; Drory, Niv
- The Astrophysical Journal, Vol. 773, Issue 2
FIRST GAIA LOCAL GROUP DYNAMICS: MAGELLANIC CLOUDS PROPER MOTION AND ROTATION
journal, November 2016
- van der Marel, Roeland P.; Sahlmann, Johannes
- The Astrophysical Journal, Vol. 832, Issue 2
Hundreds of Milky Way Satellites? Luminosity Bias in the Satellite Luminosity Function
text, January 2008
- Tollerud, Erik J.; Bullock, James S.; Strigari, Louis E.
- arXiv
A common mass scale for satellite galaxies of the Milky Way
text, January 2008
- Strigari, Louis E.; Bullock, James S.; Kaplinghat, Manoj
- arXiv
The observed properties of dwarf galaxies in and around the Local Group
text, January 2012
- McConnachie, Alan W.
- arXiv
The Massive Satellite Population of Milky-Way Sized Galaxies
text, January 2013
- Rodriguez-Puebla, A.; Avila-Reese, V.; Drory, N.
- arXiv
A New Faint Milky Way Satellite Discovered in the Pan-STARRS1 3 pi Survey
text, January 2015
- Laevens, Benjamin P. M.; Martin, Nicolas F.; Ibata, Rodrigo A.
- arXiv
Estimating the Galactic Mass Profile in the Presence of Incomplete Data
text, January 2015
- Eadie, Gwendolyn M.; Harris, William E.; Widrow, Lawrence M.
- arXiv
The orbital PDF: the dynamical state of Milky Way sized haloes and the intrinsic uncertainty in the determination of their masses
text, January 2015
- Han, Jiaxin; Wang, Wenting; Cole, Shaun
- arXiv
A timing constraint on the (total) mass of the Large Magellanic Cloud
text, January 2015
- Peñarrubia, Jorge; Gómez, Facundo A.; Besla, Gurtina
- arXiv
Eight Ultra-faint Galaxy Candidates Discovered in Year Two of the Dark Energy Survey
text, January 2015
- Collaboration, The DES; Drlica-Wagner, A.; Bechtol, K.
- arXiv
The Galaxy in Context: Structural, Kinematic and Integrated Properties
text, January 2016
- Bland-Hawthorn, Joss; Gerhard, Ortwin
- arXiv
What to expect from dynamical modelling of galactic haloes
text, January 2016
- Wang, Wenting; Han, Jiaxin; Cole, Shaun
- arXiv
Bayesian Mass Estimates of the Milky Way: including measurement uncertainties with hierarchical Bayes
text, January 2016
- Eadie, Gwendolyn; Springford, Aaron; Harris, William
- arXiv
Proper Motions of Dwarf Spheroidal Galaxies from Hubble Space Telescope Imaging. I: Method and a Preliminary Measurement for Fornax
text, January 2002
- Piatek, S.; Pryor, C.; Olszewski, E. W.
- arXiv
The Halo Occupation Distribution and the Physics of Galaxy Formation
text, January 2002
- Berlind, Andreas A.; Weinberg, David H.; Benson, Andrew J.
- arXiv
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The stellar halo of isolated central galaxies in the Hyper Suprime-Cam imaging survey
journal, May 2019
- Wang, Wenting; Han, Jiaxin; Sonnenfeld, Alessandro
- Monthly Notices of the Royal Astronomical Society, Vol. 487, Issue 2
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journal, February 2019
- Callingham, Thomas M.; Cautun, Marius; Deason, Alis J.
- Monthly Notices of the Royal Astronomical Society, Vol. 484, Issue 4
Estimating the Mass of the Milky Way Using the Ensemble of Classical Satellite Galaxies
journal, April 2018
- Patel, Ekta; Besla, Gurtina; Mandel, Kaisey
- The Astrophysical Journal, Vol. 857, Issue 2
Using velocity dispersion to estimate halo mass: Is the Local Group in tension with ΛCDM?
journal, March 2018
- Elahi, Pascal J.; Power, Chris; Lagos, Claudia del P.
- Monthly Notices of the Royal Astronomical Society, Vol. 477, Issue 1
A Versatile and Accurate Method for Halo Mass Determination from Phase-space Distribution of Satellite Galaxies
journal, November 2019
- Li, Zhao-Zhou; Qian, Yong-Zhong; Han, Jiaxin
- The Astrophysical Journal, Vol. 886, Issue 1
What to expect from dynamical modelling of galactic haloes – II. The spherical Jeans equation
journal, March 2018
- Wang, Wenting; Han, Jiaxin; Cole, Shaun
- Monthly Notices of the Royal Astronomical Society, Vol. 476, Issue 4
Estimating the Mass of the Milky Way Using the Ensemble of Classical Satellite Galaxies
text, January 2018
- Patel, Ekta; Besla, Gurtina; Mandel, Kaisey
- arXiv
The mass of the Milky Way from satellite dynamics
text, January 2018
- Callingham, Thomas; Cautun, Marius; Deason, Alis J.
- arXiv
The stellar halo of isolated central galaxies in the Hyper Suprime-Cam imaging survey
text, January 2018
- Wang, Wenting; Han, Jiaxin; Sonnenfeld, Alessandro
- arXiv