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Dynamical modelling of the galactic bulge and bar: the Milky Way's pattern speed, stellar and dark matter mass distribution
Open accessAbstract
We construct a large set of dynamical models of the galactic bulge, bar and inner disc using the made-to-measure method. Our models are constrained to match the red clump giant density from a combination of the VVV, UKIDSS and 2MASS infrared surveys together with stellar kinematics in the bulge from the BRAVA and OGLE surveys, and in the entire bar region from the ARGOS Survey. We are able to recover the bar pattern speed and the stellar and dark matter mass distributions in the bar region, thus recovering the entire galactic effective potential. We find a bar pattern speed of 39.0 ± 3.5 km s− 1 kpc− 1, placing the bar corotation radius at 6.1 ± 0.5 kpc and making the Milky Way bar a typical fast rotator. We evaluate the stellar mass of the long bar and bulge structure to be Mbar/bulge = 1.88 ± 0.12 × 1010 M⊙, larger than the mass of disc in the bar region, Minner disc = 1.29 ± 0.12 × 1010 M⊙. The total dynamical mass in the bulge volume is 1.85 ± 0.05 × 1010 M⊙. Thanks to more extended kinematic data sets and recent measurement of the bulge initial mass function, our models have a low dark matter fraction in the bulge of 17 ± 2 per cent. We find a dark matter density profile which flattens to a shallow cusp or core in the bulge region. Finally, we find dynamical evidence for an extra central mass of ∼ 0.2 × 1010 M⊙, probably in a nuclear disc or discy pseudo-bulge.
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Valenti, E., Zoccali, M., González, O. A., Minniti, D., Alonso-García, J., Marchetti, E., Hempel, M., Renzini, A., & Rejkuba, M. (2015) · Astronomy and Astrophysics · doi:10.1051/0004-6361/201527500 · Cited by 120
Lorenzi, F. D., Gerhard, O., Coccato, L., Arnaboldi, M., Capaccioli, M., Douglas, N. G., Freeman, K. C., Kuijken, K. H., Merrifield, M. R., Napolitano, N. R., et al. (2009) · Monthly Notices of the Royal Astronomical Society · doi:10.1111/j.1365-2966.2009.14553.x · Cited by 120
Self-citationGas flow in barred potentials – III. Effects of varying the quadrupole
Sormani, M. C., Binney, J. J., & Magorrian, J. (2015) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/stv2067 · Cited by 111
Stream–orbit misalignment – I. The dangers of orbit-fitting
Sanders, J. L., & Binney, J. J. (2013) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/stt806 · Cited by 108
Model-based pattern speed estimates for 38 barred galaxies
Rautiainen, P., Salo, H., & Laurikainen, E. (2008) · Monthly Notices of the Royal Astronomical Society · doi:10.1111/j.1365-2966.2008.13522.x · Cited by 108
Is the bulge of our Galaxy triaxial?
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Gas flow models in the Milky Way embedded bars
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A boxy bulge in the Milky Way. Inversion of the stellar statistics equation with 2MASS data
López-Corredoira, M., Cabrera-Lavers, A., & Gerhard, O. E. (2005) · Astronomy and Astrophysics · doi:10.1051/0004-6361:20053075 · Cited by 100
Self-citationBEFORE THE BAR: KINEMATIC DETECTION OF A SPHEROIDAL METAL-POOR BULGE COMPONENT
Kunder, A., Rich, R. M., Koch, A., Storm, J., Nataf, D. M., Propris, R. D., Walker, A. R., Bono, G., Johnson, C. I., Shen, J., et al. (2016) · The Astrophysical Journal Letters · doi:10.3847/2041-8205/821/2/l25 · Cited by 100
Distribution functions for the Milky WayPreprint
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Lorenzi, F. D., Gerhard, O., Saglia, R. P., Sambhus, N., Debattista, V. P., Pannella, M., & Méndez, R. H. (2008) · Monthly Notices of the Royal Astronomical Society · doi:10.1111/j.1365-2966.2008.12905.x · Cited by 98
Self-citationGRAND DESIGN AND FLOCCULENT SPIRALS IN THESPITZERSURVEY OF STELLAR STRUCTURE IN GALAXIES (S4G)
Elmegreen, D. M., Elmegreen, B. G., Yau, A., Athanassoula, E., Bosma, A., Buta, R., Hélou, G., Ho, L. C., Gadotti, D. A., Knapen, J. H., et al. (2011) · The Astrophysical Journal · doi:10.1088/0004-637x/737/1/32 · Cited by 98
The long Galactic bar as seen by UKIDSS Galactic plane survey
Cabrera-Lavers, A., González-Fernández, C., Garzón, F., Hammersley, P. L., & López-Corredoira, M. (2008) · Astronomy and Astrophysics · doi:10.1051/0004-6361:200810720 · Cited by 97
Peanuts, brezels and bananas: food for thought on the orbital structure of the Galactic bulge
Portail, M., Wegg, C., & Gerhard, O. (2015) · Monthly Notices of the Royal Astronomical Society Letters · doi:10.1093/mnrasl/slv048 · Cited by 95
Self-citationCan bars be destroyed by a central mass concentration? I SimulationsPreprint
Athanassoula, E., Lambert, J. C., & Dehnen, W. (2005) · Cited by 95
Light Profiles and Pattern Speeds for Bars in Early- and Late-Type Galaxies
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Why the Milky Way’s bulge is not only a bar formed from a cold thin disk
Matteo, P. D., Gómez, A., Haywood, M., Combes, F., Lehnert, M. D., Ness, M., Snaith, O. N., Katz, D., & Semelin, B. (2015) · Astronomy and Astrophysics · doi:10.1051/0004-6361/201424457 · Cited by 94
Self-citationModels for the inner regions of the Galaxy. I
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Bar Strengths, Bar Lengths, and Corotation Radii, Derived Photometrically for 10 Barred Galaxies
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Axisymmetric galaxy models with central black holes, with an application to M32
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Reddening and metallicity maps of the Milky Way bulge from VVV and 2MASS
González, O. A., Rejkuba, M., Zoccali, M., Valenti, E., Minniti, D., Schultheis, M., Tobar, R. J., & Chen, B. (2011) · Springer Link (Chiba Institute of Technology) · doi:10.1051/0004-6361/201117601/pdf · Cited by 82
Goad, M. R., Korista, K. T., Rosa, G. D., Kriss, G. A., Edelson, R., Barth, A. J., Ferland, G. J., Kochanek, C. S., Netzer, H., Peterson, B. M., et al. (2016) · The Astrophysical Journal · doi:10.3847/0004-637x/824/1/11 · Cited by 82
Before the Bar: Kinematic Detection of a Spheroidal Metal-poor Bulge Component
Kunder, A., Rich, R. M., Koch, A., Storm, J., Nataf, D. M., De Propris, R., Walker, A. R., Bono, G., Johnson, C. I., Shen, J., et al. (2016) · Lancaster EPrints (Lancaster University) · Cited by 81
Bars and Dark Matter Halo Cores
Sellwood, J. A. (2003) · The Astrophysical Journal · doi:10.1086/368285 · Cited by 80
A boxy bulge in the Milky Way. Inversion of the stellar statistics equation with 2MASS data
López-Corredoira, M., Cabrera-Lavers, A., & Gerhard, O. (2005) · Springer Link (Chiba Institute of Technology) · doi:10.1051/0004-6361:20053075/pdf · Cited by 80
Self-citationThe pattern speed of the OH/IR stars in the Milky Way
Debattista, V. P., Gerhard, O., & Sevenster, M. (2002) · Monthly Notices of the Royal Astronomical Society · doi:10.1046/j.1365-8711.2002.05500.x · Cited by 79
Self-citationBissantz, N., Debattista, V. P., & Gerhard, O. (2004) · The Astrophysical Journal · doi:10.1086/382043 · Cited by 78
Self-citationWegg, C., Gerhard, O., & Portail, M. (2016) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/stw1954 · Cited by 78
Self-citationInfrared signatures of the inner spiral arms and bar
Hammersley, P. L., Garzon, F., Mahoney, T. J., & Calbet, X. (1994) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/269.3.753 · Cited by 77
Sumi, T., Wu, X.-B., Udalski, A., Szymański, M. K., Kubiak, M., Pietrzyński, G., Soszyński, I., Woźniak, P. R., Żebruń, K., Szewczyk, O., et al. (2004) · Monthly Notices of the Royal Astronomical Society · doi:10.1111/j.1365-2966.2004.07457.x · Cited by 76
APOGEE KINEMATICS. I. OVERVIEW OF THE KINEMATICS OF THE GALACTIC BULGE AS MAPPED BY APOGEE
Ness, M., Zasowski, G., Johnson, J. A., Athanassoula, E., Majewski, S. R., Pérez, A. E. G., Bird, J. C., Nidever, D. L., Schneider, D. P., Sobeck, J. S., et al. (2016) · The Astrophysical Journal · doi:10.3847/0004-637x/819/1/2 · Cited by 74
Self-citationTailoring triaxialN-body models via a novel made-to-measure method
Dehnen, W. (2009) · Monthly Notices of the Royal Astronomical Society · doi:10.1111/j.1365-2966.2009.14603.x · Cited by 70
Zoccali, M., González, O. A., Vásquez, S. O., Hill, V., Rejkuba, M., Valenti, E., Renzini, A., Rojas-Arriagada, Á., Martínez-Valpuesta, I., Babusiaux, C., et al. (2014) · arXiv (Cornell University) · doi:10.48550/arxiv.1401.4878 · Cited by 69
Zhu, L., Long, R. J., Mao, S., Peng, E. W., Liu, C., Caldwell, N., Li, B., Blakeslee, J. P., Côté, P., Cuillandre, J., et al. (2014) · The Astrophysical Journal · doi:10.1088/0004-637x/792/1/59 · Cited by 69
Nidever, D. L., Zasowski, G., Majewski, S. R., Bird, J. C., Robin, A. C., Martínez-Valpuesta, I., Beaton, R. L., Schönrich, R. A., Schultheis, M., Wilson, J. C., et al. (2012) · The Astrophysical Journal Letters · doi:10.1088/2041-8205/755/2/l25 · Cited by 68
Self-citationThe long Galactic bar as seen by UKIDSS Galactic Plane Survey
Cabrera-Lavers, A., Gonzalez-Fernandez, C., Garzon, F., Hammersley, P. L., & López-Corredoira, M. (2008) · Springer Link (Chiba Institute of Technology) · doi:10.1051/0004-6361:200810720/pdf · Cited by 68
Bars and Dark Matter Halo Cores
Sellwood, J. A. (2002) · CERN Document Server (European Organization for Nuclear Research) · Cited by 68
Incorrect rotation curve of the Milky Way
Chemin, L., Renaud, F., & Soubiran, C. (2015) · Astronomy and Astrophysics · doi:10.1051/0004-6361/201526040 · Cited by 67
Instabilities of a family of oblate stellar spheroids
Sellwood, J. A., & Valluri, M. (1997) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/287.1.124 · Cited by 67
KINEMATIC DETECTION OF THE GALACTIC NUCLEAR DISK
Schönrich, R. A., Aumer, M., & Sale, S. E. (2015) · The Astrophysical Journal Letters · doi:10.1088/2041-8205/812/2/l21 · Cited by 60
Hogg, D. W., Casey, A. R., Ness, M., Rix, H., Foreman-Mackey, D. T., & Mészáros, S. (2016) · Repository of the Academy's Library (Library of the Hungarian Academy of Sciences) · Cited by 60
Self-citationThomas, J., Jesseit, R., Saglia, R. P., Bender, R., Burkert, A. M., Corsini, E. M., Gebhardt, K., Magorrian, J., Naab, T., Thomas, D., et al. (2009) · Monthly Notices of the Royal Astronomical Society · doi:10.1111/j.1365-2966.2008.14238.x · Cited by 58
NEW INSIGHTS ON THE GALACTIC BULGE INITIAL MASS FUNCTION
Calamida, A., Sahu, K. C., Casertano, S., Anderson, J., Cassisi, S., Gennaro, M., Cignoni, M., Brown, T. M., Kains, N., Ferguson, H., et al. (2015) · The Astrophysical Journal · doi:10.1088/0004-637x/810/1/8 · Cited by 55
Stochasticity inN-body simulations of disc galaxies
Sellwood, J. A., & Debattista, V. P. (2009) · Monthly Notices of the Royal Astronomical Society · doi:10.1111/j.1365-2966.2009.15219.x · Cited by 55
DETECTION OF A PSEUDOBULGE HIDDEN INSIDE THE “BOX-SHAPED BULGE” OF NGC 4565
Kormendy, J., & Barentine, J. C. (2010) · The Astrophysical Journal Letters · doi:10.1088/2041-8205/715/2/l176 · Cited by 53
Rattenbury, N. J., Mao, S., Debattista, V. P., Sumi, T., Gerhard, O., & Lorenzi, F. D. (2007) · Monthly Notices of the Royal Astronomical Society · doi:10.1111/j.1365-2966.2007.11851.x · Cited by 51
Self-citationMorganti, L., Gerhard, O., Coccato, L., Martínez-Valpuesta, I., & Arnaboldi, M. (2013) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/stt442 · Cited by 51
Self-citationIncorrect rotation curve of the Milky Way
Chemin, L., Renaud, F., & Soubiran, C. (2015) · Springer Link (Chiba Institute of Technology) · doi:10.1051/0004-6361/201526040/pdf · Cited by 49
Das, P., Gerhard, O., Mendez, R. H., Teodorescu, A. M., & de Lorenzi, F. (2011) · Monthly Notices of the Royal Astronomical Society · doi:10.1111/j.1365-2966.2011.18771.x · Cited by 47
Self-citationA bar in the inner halo of barred galaxies - I. Structure and kinematics of a representative model
Athanassoula, E. (2007) · Monthly Notices of the Royal Astronomical Society · doi:10.1111/j.1365-2966.2007.11711.x · Cited by 47
Made-to-measure galaxy models - I. Methodology
Long, R. J., & Mao, S. (2010) · Monthly Notices of the Royal Astronomical Society · doi:10.1111/j.1365-2966.2010.16438.x · Cited by 47
Made-to-measure galaxy models – III. Modelling with Milky Way observations
Long, R. J., Mao, S., Shen, J., & Wang, Y. (2012) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/sts285 · Cited by 45
The stellar halo in the inner Milky Way: predicted shape and kinematics
Pérez-Villegas, Á., Portail, M., & Gerhard, O. (2016) · Monthly Notices of the Royal Astronomical Society Letters · doi:10.1093/mnrasl/slw189 · Cited by 40
Self-citationDetection of A Pseudobulge Hidden inside the "Box-Shaped Bulge" of NGC 4565
Barentine, J. C. (2016) · Texas ScholarWorks (Texas Digital Library) · doi:10.15781/t2qb9v80c · Cited by 36
MAGNETICALLY CONFINED INTERSTELLAR HOT PLASMA IN THE NUCLEAR BULGE OF OUR GALAXY
Nishiyama, S., Yasui, K., Nagata, T., Yoshikawa, T., Uchiyama, H., Schödel, R., Hatano, H., Sato, S., Sugitani, K., Suenaga, T., et al. (2013) · The Astrophysical Journal Letters · doi:10.1088/2041-8205/769/2/l28 · Cited by 34
Debattista, V. P., Ness, M., Earp, S. W. F., & Cole, D. R. (2015) · The Astrophysical Journal Letters · doi:10.1088/2041-8205/812/1/l16 · Cited by 34
Self-citationDas, P., Gerhard, O., Mendez, R., Teodorescu, A., & de Lorenzi, F. (2011) · UCL Discovery (University College London) · Cited by 34
Self-citationRattenbury, N. J., Mao, S., Debattista, V. P., Sumi, T., Gerhard, O., & Lorenzi, F. D. (2007) · Cited by 31
Self-citationRegularizing made-to-measure particle models of galaxies
Morganti, L., & Gerhard, O. (2012) · Monthly Notices of the Royal Astronomical Society · doi:10.1111/j.1365-2966.2012.20733.x · Cited by 28
Self-citationM2M modelling of the Galactic disc via primal: fitting to Gaia error added data
Hunt, J. A. S., & Kawata, D. (2014) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/stu1306 · Cited by 22
Flagged first, then by citations
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Cited by
Sorted by citations
The mass distribution and gravitational potential of the Milky Way
McMillan, P. J. (2017) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/stw2759 · Cited by 1,099
Katz, D., Antoja, T., Romero-Gómez, M., Drimmel, R., Reylé, C., Seabroke, G. M., Soubiran, C., Babusiaux, C., Matteo, P. D., Figueras, F., et al. (2018) · Astronomy and Astrophysics · doi:10.1051/0004-6361/201832865 · Cited by 417
The Circular Velocity Curve of the Milky Way from 5 to 25 kpc
Eilers, A.-C., Hogg, D. W., Rix, H.-W., & Ness, M. K. (2019) · The Astrophysical Journal · doi:10.3847/1538-4357/aaf648 · Cited by 404
Self-citationThe milky way total mass profile as inferred from Gaia DR2
Cautun, M., Benítez-Llambay, A., Deason, A. J., Frenk, C. S., Fattahi, A., Gómez, F. A., Grand, R. J. J., Oman, K. A., Navarro, J. F., & Simpson, C. M. (2020) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/staa1017 · Cited by 332
“Also, for the same reason we do not model the complicated geometry of the stellar distribution at the centre of the MW, i.e. peanut bulge and bar (e.g. Portail et al. 2017), since it has only minor effects on the gravitational field at R > 5 kpc.”
BackgroundThe Milky Way total mass profile as inferred from Gaia DR2
Cautun, M., Benitez-Llambay, A., Deason, A. J., Frenk, C. S., Fattahi, A., Gómez, F. A., Grand, R. J. J., Oman, K. A., Navarro, J. F., & Simpson, C. M. (2019) · arXiv · doi:10.48550/arxiv.1911.04557 · Cited by 335
Metadata
- Authors
- Portail, M., Gerhard, O., Wegg, C., & Ness, M.
- Affiliations
- Max Planck Institute for Extraterrestrial Physics (DE)
- Max Planck Institute for Astronomy (DE)
- Corresponding author
- Portail, Matthieu
- Gerhard, Ortwin
- Venue
- Monthly Notices of the Royal Astronomical Society
- Publisher
- Oxford University Press (OUP)
- Published
- 2016-11-03
- Volume
- 465
- Issue
- 2
- Pages
- 1621-1644
- ISSN
- 0035-8711 (ISSN-L)
- 1365-2966
- OpenAlex
- W2555440354
- Cited by
- 378
- References
- 154
- Citations by year
- 2026: 37 · 2025: 44 · 2024: 46 · 2023: 23 · 2022: 30 · 2021: 42 · 2020: 51 · 2019: 42 · 2018: 35 · 2017: 26 · 2016: 2
- FWCI
- 16.71
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Monthly Notices of the Royal Astronomical Society (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- Max Planck Institute for Plasma Physics (submittedVersion)
- HighWire Press Open Archive (submittedVersion)
- MPG.PuRe (Max Planck Society) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Stellar, planetary, and galactic studies
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Galaxies: Formation, Evolution, Phenomena
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Astrophysical Phenomena and Observations
- Keywords
- Galactic bulge, galactic bars, bar pattern speed, red clump giants, stellar kinematics, effective potential, nuclear discs
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
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