A measurement of the distance to the Galactic centre using the kinematics of bar stars
Abstract
ABSTRACT The distance to the Galactic centre R0 is a fundamental parameter for understanding the Milky Way, because all observations of our Galaxy are made from our heliocentric reference point. The uncertainty in R0 limits our knowledge of many aspects of the Milky Way, including its total mass and the relative mass of its major components, and any orbital parameters of stars employed in chemo-dynamical analyses. While measurements of R0 have been improving over a century, measurements in the past few years from a variety of methods still find a wide range of R0 being somewhere within 8.0 to $$8.5\, \mathrm{kpc}$$. The most precise measurements to date have to assume that Sgr A* is at rest at the Galactic centre, which may not be the case. In this paper, we use maps of the kinematics of stars in the Galactic bar derived from APOGEE DR17 and Gaia EDR3 data augmented with spectrophotometric distances from the astroNN neural-network method. These maps clearly display the minimum in the rotational velocity vT and the quadrupolar signature in radial velocity vR expected for stars orbiting in a bar. From the minimum in vT, we measure $$R_0 = 8.23\pm 0.12\, \mathrm{kpc}$$. We validate our measurement using realistic N-body simulations of the Milky Way. We further measure the pattern speed of the bar to be $$\Omega _\mathrm{bar} = 40.08\pm 1.78\, \mathrm{km\, s}^{-1}\,\mathrm{kpc}^{-1}$$. Because the bar forms out of the disc, its centre is manifestly the barycentre of the bar+disc system and our measurement is therefore one of the most robust and accurate measurements of R0 to date.
- Authors:
- Publication Date:
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1906405
- Resource Type:
- Published Article
- Journal Name:
- Monthly Notices of the Royal Astronomical Society
- Additional Journal Information:
- Journal Name: Monthly Notices of the Royal Astronomical Society Journal Volume: 519 Journal Issue: 1; Journal ID: ISSN 0035-8711
- Publisher:
- Oxford University Press
- Country of Publication:
- United Kingdom
- Language:
- English
Citation Formats
Leung, Henry W., Bovy, Jo, Mackereth, J. Ted, Hunt, Jason A. S., Lane, Richard R., and Wilson, John C. A measurement of the distance to the Galactic centre using the kinematics of bar stars. United Kingdom: N. p., 2022.
Web. doi:10.1093/mnras/stac3529.
Leung, Henry W., Bovy, Jo, Mackereth, J. Ted, Hunt, Jason A. S., Lane, Richard R., & Wilson, John C. A measurement of the distance to the Galactic centre using the kinematics of bar stars. United Kingdom. https://doi.org/10.1093/mnras/stac3529
Leung, Henry W., Bovy, Jo, Mackereth, J. Ted, Hunt, Jason A. S., Lane, Richard R., and Wilson, John C. Tue .
"A measurement of the distance to the Galactic centre using the kinematics of bar stars". United Kingdom. https://doi.org/10.1093/mnras/stac3529.
@article{osti_1906405,
title = {A measurement of the distance to the Galactic centre using the kinematics of bar stars},
author = {Leung, Henry W. and Bovy, Jo and Mackereth, J. Ted and Hunt, Jason A. S. and Lane, Richard R. and Wilson, John C.},
abstractNote = {ABSTRACT The distance to the Galactic centre R0 is a fundamental parameter for understanding the Milky Way, because all observations of our Galaxy are made from our heliocentric reference point. The uncertainty in R0 limits our knowledge of many aspects of the Milky Way, including its total mass and the relative mass of its major components, and any orbital parameters of stars employed in chemo-dynamical analyses. While measurements of R0 have been improving over a century, measurements in the past few years from a variety of methods still find a wide range of R0 being somewhere within 8.0 to $8.5\, \mathrm{kpc}$. The most precise measurements to date have to assume that Sgr A* is at rest at the Galactic centre, which may not be the case. In this paper, we use maps of the kinematics of stars in the Galactic bar derived from APOGEE DR17 and Gaia EDR3 data augmented with spectrophotometric distances from the astroNN neural-network method. These maps clearly display the minimum in the rotational velocity vT and the quadrupolar signature in radial velocity vR expected for stars orbiting in a bar. From the minimum in vT, we measure $R_0 = 8.23\pm 0.12\, \mathrm{kpc}$. We validate our measurement using realistic N-body simulations of the Milky Way. We further measure the pattern speed of the bar to be $\Omega _\mathrm{bar} = 40.08\pm 1.78\, \mathrm{km\, s}^{-1}\,\mathrm{kpc}^{-1}$. Because the bar forms out of the disc, its centre is manifestly the barycentre of the bar+disc system and our measurement is therefore one of the most robust and accurate measurements of R0 to date.},
doi = {10.1093/mnras/stac3529},
journal = {Monthly Notices of the Royal Astronomical Society},
number = 1,
volume = 519,
place = {United Kingdom},
year = {Tue Dec 06 00:00:00 EST 2022},
month = {Tue Dec 06 00:00:00 EST 2022}
}
https://doi.org/10.1093/mnras/stac3529
Works referenced in this record:
Life in the fast lane: a direct view of the dynamics, formation, and evolution of the Milky Way’s bar
journal, October 2019
- Bovy, Jo; Leung, Henry W.; Hunt, Jason A. S.
- Monthly Notices of the Royal Astronomical Society, Vol. 490, Issue 4
The 4:1 outer Lindblad resonance of a long-slow bar as an explanation for the Hercules stream
journal, April 2018
- Hunt, Jason A. S.; Bovy, Jo
- Monthly Notices of the Royal Astronomical Society, Vol. 477, Issue 3
The Astropy Project: Building an Open-science Project and Status of the v2.0 Core Package
journal, August 2018
- Price-Whelan, A. M.; Sipőcz, B. M.; Günther, H. M.
- The Astronomical Journal, Vol. 156, Issue 3
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
Dynamics of a Massive Black Hole at the Center of a Dense Stellar System
journal, June 2002
- Chatterjee, Pinaki; Hernquist, Lars; Loeb, Abraham
- The Astrophysical Journal, Vol. 572, Issue 1
Trigonometric Parallaxes of high mass star Forming Regions: the Structure and Kinematics of the Milky way
journal, February 2014
- Reid, M. J.; Menten, K. M.; Brunthaler, A.
- The Astrophysical Journal, Vol. 783, Issue 2
Sloan Digital Sky Survey IV: Mapping the Milky Way, Nearby Galaxies, and the Distant Universe
journal, June 2017
- Blanton, Michael R.; Bershady, Matthew A.; Abolfathi, Bela
- The Astronomical Journal, Vol. 154, Issue 1
A dynamically young and perturbed Milky Way disk
journal, September 2018
- Antoja, T.; Helmi, A.; Romero-Gómez, M.
- Nature, Vol. 561, Issue 7723
Characteristics of the Galaxy according to Cepheids
journal, September 2009
- Majaess, D. J.; Turner, D. G.; Lane, D. J.
- Monthly Notices of the Royal Astronomical Society, Vol. 398, Issue 1
Review of galactic constants
journal, August 1986
- Kerr, F. J.; Lynden-Bell, D.
- Monthly Notices of the Royal Astronomical Society, Vol. 221, Issue 4
Revisiting the Tale of Hercules: How Stars Orbiting the Lagrange Points Visit the Sun
journal, April 2017
- Pérez-Villegas, Angeles; Portail, Matthieu; Wegg, Christopher
- The Astrophysical Journal, Vol. 840, Issue 1
Vvv Survey Near-Infrared Photometry of Known Bulge rr Lyrae Stars: the Distance to the Galactic Center and Absence of a Barred Distribution of the Metal-Poor Population
journal, October 2013
- Dékány, I.; Minniti, D.; Catelan, M.
- The Astrophysical Journal, Vol. 776, Issue 2
The Parallax Zero-point of Gaia Early Data Release 3 from LAMOST Primary Red Clump Stars
journal, March 2021
- Huang, Yang; Yuan, Haibo; Beers, Timothy C.
- The Astrophysical Journal Letters, Vol. 910, Issue 1
Gaps and length asymmetry in the stellar stream Palomar 5 as effects of Galactic bar rotation
journal, August 2017
- Pearson, Sarah; Price-Whelan, Adrian M.; Johnston, Kathryn V.
- Nature Astronomy, Vol. 1, Issue 9
Effects of baryonic and dark matter substructure on the Pal 5 stream
journal, January 2019
- Banik, Nilanjan; Bovy, Jo
- Monthly Notices of the Royal Astronomical Society, Vol. 484, Issue 2
The Seventeenth Data Release of the Sloan Digital Sky Surveys: Complete Release of MaNGA, MaStar, and APOGEE-2 Data
journal, March 2022
- Abdurro’uf, ; Accetta, Katherine; Aerts, Conny
- The Astrophysical Journal Supplement Series, Vol. 259, Issue 2, p. 35
Identifying resonances of the Galactic bar in Gaia DR2: I. Clues from action space
journal, October 2020
- Trick, Wilma H.; Fragkoudi, Francesca; Hunt, Jason A. S.
- Monthly Notices of the Royal Astronomical Society, Vol. 500, Issue 2
Gaia Early Data Release 3: Catalogue validation
journal, April 2021
- Fabricius, C.; Luri, X.; Arenou, F.
- Astronomy & Astrophysics, Vol. 649
Infrared space astrometry mission for survey of the Galactic nuclear bulge: Small-JASMINE
journal, June 2019
- Gouda, Naoteru
- Proceedings of the International Astronomical Union, Vol. 14, Issue S353
Gas Dynamics in the Galaxy: Total Mass Distribution and the Bar Pattern Speed
journal, January 2022
- Li, Zhi; Shen, Juntai; Gerhard, Ortwin
- The Astrophysical Journal, Vol. 925, Issue 1
Impacts of a flaring star-forming disc and stellar radial mixing on the vertical metallicity gradient
journal, September 2016
- Kawata, Daisuke; Grand, Robert J. J.; Gibson, Brad K.
- Monthly Notices of the Royal Astronomical Society, Vol. 464, Issue 1
The Effect of the Outer Lindblad Resonance of the Galactic Bar on the Local Stellar Velocity Distribution
journal, February 2000
- Dehnen, Walter
- The Astronomical Journal, Vol. 119, Issue 2
The Apache Point Observatory Galactic Evolution Experiment (APOGEE) Spectrographs
journal, March 2019
- Wilson, J. C.; Hearty, F. R.; Skrutskie, M. F.
- Publications of the Astronomical Society of the Pacific, Vol. 131, Issue 999
parsec : stellar tracks and isochrones with the PAdova and TRieste Stellar Evolution Code
journal, October 2012
- Bressan, Alessandro; Marigo, Paola; Girardi, Léo
- Monthly Notices of the Royal Astronomical Society, Vol. 427, Issue 1
Vertical waves in the solar neighbourhood in Gaia DR2
journal, October 2018
- Bennett, Morgan; Bovy, Jo
- Monthly Notices of the Royal Astronomical Society, Vol. 482, Issue 1
Local kinematics and the local standard of rest
journal, April 2010
- Schönrich, Ralph; Binney, James; Dehnen, Walter
- Monthly Notices of the Royal Astronomical Society, Vol. 403, Issue 4
An Update on Monitoring Stellar Orbits in the Galactic Center
journal, February 2017
- Gillessen, S.; Plewa, P. M.; Eisenhauer, F.
- The Astrophysical Journal, Vol. 837, Issue 1
Spatial structure of the globular cluster system and the distance to the galactic center
journal, December 1976
- Harris, W. E.
- The Astronomical Journal, Vol. 81
Signatures of resonance and phase mixing in the Galactic disc
journal, September 2019
- Hunt, Jason A. S.; Bub, Mathew W.; Bovy, Jo
- Monthly Notices of the Royal Astronomical Society, Vol. 490, Issue 1
Spectrophotometric Parallaxes with Linear Models: Accurate Distances for Luminous Red-giant Stars
journal, September 2019
- Hogg, David W.; Eilers, Anna-Christina; Rix, Hans-Walter
- The Astronomical Journal, Vol. 158, Issue 4
Target Selection for the SDSS-IV APOGEE-2 Survey
journal, October 2017
- Zasowski, G.; Cohen, R. E.; Chojnowski, S. D.
- The Astronomical Journal, Vol. 154, Issue 5
Gas Dynamics in the Milky way: a low Pattern Speed Model
journal, June 2016
- Li, Zhi; Gerhard, Ortwin; Shen, Juntai
- The Astrophysical Journal, Vol. 824, Issue 1
Constraints on Galileons from the positions of supermassive black holes
journal, January 2021
- Bartlett, D. J.; Desmond, H.; Ferreira, P. G.
- Physical Review D, Vol. 103, Issue 2
REDDENING AND EXTINCTION TOWARD THE GALACTIC BULGE FROM OGLE-III: THE INNER MILKY WAY'S R V ∼ 2.5 EXTINCTION CURVE
journal, May 2013
- Nataf, David M.; Gould, Andrew; Fouqué, Pascal
- The Astrophysical Journal, Vol. 769, Issue 2
Studies based on the colors and magnitudes in stellar clusters. VII. The distances, distribution in space, and dimensions of 69 globular clusters.
journal, October 1918
- Shapley, H.
- The Astrophysical Journal, Vol. 48
Improved GRAVITY astrometric accuracy from modeling optical aberrations
journal, March 2021
- Abuter, R.; Amorim, A.; Bauböck, M.
- Astronomy & Astrophysics, Vol. 647
Preliminary results on the distances, dimensions and space distribution of open star clusters
journal, January 1930
- Trumpler, Robert Julius
- Lick Observatory Bulletins, Vol. 14
An extended Pal 5 stream in Gaia DR2
journal, February 2020
- Starkman, Nathaniel; Bovy, Jo; Webb, Jeremy J.
- Monthly Notices of the Royal Astronomical Society, Vol. 493, Issue 4
Astropy: A community Python package for astronomy
journal, September 2013
- Robitaille, Thomas P.; Tollerud, Erik J.; Greenfield, Perry
- Astronomy & Astrophysics, Vol. 558
The Proper Motion of Sagittarius A*. III. The Case for a Supermassive Black Hole
journal, March 2020
- Reid, M. J.; Brunthaler, A.
- The Astrophysical Journal, Vol. 892, Issue 1
Relativistic redshift of the star S0-2 orbiting the Galactic Center supermassive black hole
journal, August 2019
- Do, Tuan; Hees, Aurelien; Ghez, Andrea
- Science, Vol. 365, Issue 6454
Constraints on the Galactic bar from the Hercules stream as traced with RAVE across the Galaxy
journal, March 2014
- Antoja, T.; Helmi, A.; Dehnen, W.
- Astronomy & Astrophysics, Vol. 563
Co-formation of the disc and the stellar halo★
journal, June 2018
- Belokurov, V.; Erkal, D.; Evans, N. W.
- Monthly Notices of the Royal Astronomical Society, Vol. 478, Issue 1
Measuring Distance and Properties of the Milky Way’s Central Supermassive Black Hole with Stellar Orbits
journal, December 2008
- Ghez, A. M.; Salim, S.; Weinberg, N. N.
- The Astrophysical Journal, Vol. 689, Issue 2
Gaia Data Release 2 : Catalogue validation
journal, August 2018
- Arenou, F.; Luri, X.; Babusiaux, C.
- Astronomy & Astrophysics, Vol. 616
The Two Micron All Sky Survey (2MASS)
journal, February 2006
- Skrutskie, M. F.; Cutri, R. M.; Stiening, R.
- The Astronomical Journal, Vol. 131, Issue 2
The data Reduction Pipeline for the Apache Point Observatory Galactic Evolution Experiment
journal, November 2015
- Nidever, David L.; Holtzman, Jon A.; Prieto, Carlos Allende
- The Astronomical Journal, Vol. 150, Issue 6
The merger that led to the formation of the Milky Way’s inner stellar halo and thick disk
journal, October 2018
- Helmi, Amina; Babusiaux, Carine; Koppelman, Helmer H.
- Nature, Vol. 563, Issue 7729
Dynamical modelling of the galactic bulge and bar: the Milky Way's pattern speed, stellar and dark matter mass distribution
journal, November 2016
- Portail, Matthieu; Gerhard, Ortwin; Wegg, Christopher
- Monthly Notices of the Royal Astronomical Society, Vol. 465, Issue 2
Detection of the gravitational redshift in the orbit of the star S2 near the Galactic centre massive black hole
journal, July 2018
- Abuter, R.; Amorim, A.; Anugu, N.
- Astronomy & Astrophysics, Vol. 615
The Apache Point Observatory Galactic Evolution Experiment (APOGEE)
journal, August 2017
- Majewski, Steven R.; Schiavon, Ricardo P.; Frinchaboy, Peter M.
- The Astronomical Journal, Vol. 154, Issue 3
Exploring the Sgr–Milky Way–disk Interaction Using High-resolution N-body Simulations
journal, March 2022
- Bennett, Morgan; Bovy, Jo; Hunt, Jason A. S.
- The Astrophysical Journal, Vol. 927, Issue 1
A kinematic method for measuring the pattern speed of barred galaxies
journal, July 1984
- Tremaine, S.; Weinberg, M. D.
- The Astrophysical Journal, Vol. 282
Gaia Early Data Release 3: Parallax bias versus magnitude, colour, and position
journal, April 2021
- Lindegren, L.; Bastian, U.; Biermann, M.
- Astronomy & Astrophysics, Vol. 649
THE MILKY WAY'S CIRCULAR-VELOCITY CURVE BETWEEN 4 AND 14 kpc FROM APOGEE DATA
journal, October 2012
- Bovy, Jo; Allende Prieto, Carlos; Beers, Timothy C.
- The Astrophysical Journal, Vol. 759, Issue 2
The pattern speed of the Milky Way bar/bulge from VIRAC and Gaia
journal, March 2022
- Clarke, Jonathan P.; Gerhard, Ortwin
- Monthly Notices of the Royal Astronomical Society, Vol. 512, Issue 2
Gaia Early Data Release 3: Summary of the contents and survey properties
journal, April 2021
- Brown, A. G. A.; Vallenari, A.; Prusti, T.
- Astronomy & Astrophysics, Vol. 649
A Panoramic Landscape of the Sagittarius Stream in Gaia DR2 Revealed with the STREAMFINDER Spyglass
journal, March 2020
- Ibata, Rodrigo; Bellazzini, Michele; Thomas, Guillaume
- The Astrophysical Journal, Vol. 891, Issue 1
Galactic rotation and solar motion from stellar kinematics: Galactic rotation and the solar motion
journal, October 2012
- Schönrich, Ralph
- Monthly Notices of the Royal Astronomical Society, Vol. 427, Issue 1
Target Selection for the Apache Point Observatory Galactic Evolution Experiment (Apogee)
journal, August 2013
- Zasowski, G.; Johnson, Jennifer A.; Frinchaboy, P. M.
- The Astronomical Journal, Vol. 146, Issue 4
Improving Gaia Parallax Precision with a Data-driven Model of Stars
journal, September 2018
- Anderson, Lauren; Hogg, David W.; Leistedt, Boris
- The Astronomical Journal, Vol. 156, Issue 4
Trigonometric Parallaxes of Massive Star-Forming Regions. vi. Galactic Structure, Fundamental Parameters, and Noncircular Motions
journal, June 2009
- Reid, M. J.; Menten, K. M.; Zheng, X. W.
- The Astrophysical Journal, Vol. 700, Issue 1
An Improved Distance and mass Estimate for sgr a* from a Multistar Orbit Analysis
journal, October 2016
- Boehle, A.; Ghez, A. M.; Schödel, R.
- The Astrophysical Journal, Vol. 830, Issue 1
On the ridges, undulations & streams in Gaia DR2: Linking the topography of phase-space to the orbital structure of an N-body bar
journal, July 2019
- Fragkoudi, F.; Katz, D.; Trick, W.
- Monthly Notices of the Royal Astronomical Society
Deciphering the 3d Structure of the old Galactic Bulge from the ogle rr Lyrae Stars
journal, September 2015
- Pietrukowicz, P.; Kozłowski, S.; Skowron, J.
- The Astrophysical Journal, Vol. 811, Issue 2
Validation of the Gaia Early Data Release 3 Parallax Zero-point Model with Asteroseismology
journal, April 2021
- Zinn, Joel C.
- The Astronomical Journal, Vol. 161, Issue 5
The Optical Design of the 40-in Telescope and of the Irenee DuPont Telescope at Las Campanas Observatory, Chile
journal, January 1973
- Bowen, I. S.; Vaughan, A. H.
- Applied Optics, Vol. 12, Issue 7
Simultaneous calibration of spectro-photometric distances and the Gaia DR2 parallax zero-point offset with deep learning
journal, August 2019
- Leung, Henry W.; Bovy, Jo
- Monthly Notices of the Royal Astronomical Society, Vol. 489, Issue 2
Mass models of the Milky Way: Mass models of the Milky Way
journal, April 2011
- McMillan, Paul J.
- Monthly Notices of the Royal Astronomical Society, Vol. 414, Issue 3
The pattern speed of the Milky Way bar from transverse velocities
journal, July 2019
- Sanders, Jason L.; Smith, Leigh; Evans, N. Wyn
- Monthly Notices of the Royal Astronomical Society, Vol. 488, Issue 4
Radial distribution of stellar motions in Gaia DR2
journal, June 2018
- Kawata, Daisuke; Baba, Junichi; Ciucă, Ioana
- Monthly Notices of the Royal Astronomical Society: Letters, Vol. 479, Issue 1
Clustering of Local Group Distances: Publication bias or Correlated Measurements? iv. the Galactic Center
journal, November 2016
- de Grijs, Richard; Bono, Giuseppe
- The Astrophysical Journal Supplement Series, Vol. 227, Issue 1
Mass distribution in the Galactic Center based on interferometric astrometry of multiple stellar orbits
journal, January 2022
- Abuter, R.; Aimar, N.; Amorim, A.
- Astronomy & Astrophysics, Vol. 657
Mapping the three-dimensional density of the Galactic bulge with VVV red clump stars
journal, September 2013
- Wegg, Christopher; Gerhard, Ortwin
- Monthly Notices of the Royal Astronomical Society, Vol. 435, Issue 3
Deep learning of multi-element abundances from high-resolution spectroscopic data
journal, November 2018
- Leung, Henry W.; Bovy, Jo
- Monthly Notices of the Royal Astronomical Society
Trigonometric Parallaxes of High-mass Star-forming Regions: Our View of the Milky Way
journal, November 2019
- Reid, M. J.; Menten, K. M.; Brunthaler, A.
- The Astrophysical Journal, Vol. 885, Issue 2
A TRIGONOMETRIC PARALLAX OF Sgr B2
journal, October 2009
- Reid, M. J.; Menten, K. M.; Zheng, X. W.
- The Astrophysical Journal, Vol. 705, Issue 2
The 2.5 m Telescope of the Sloan Digital Sky Survey
journal, April 2006
- Gunn, James E.; Siegmund, Walter A.; Mannery, Edward J.
- The Astronomical Journal, Vol. 131, Issue 4
Impact of basic angle variations on the parallax zero point for a scanning astrometric satellite
journal, July 2017
- Butkevich, Alexey G.; Klioner, Sergei A.; Lindegren, Lennart
- Astronomy & Astrophysics, Vol. 603
Stellar Abundance Maps of the Milky Way Disk
journal, March 2022
- Eilers, Anna-Christina; Hogg, David W.; Rix, Hans-Walter
- The Astrophysical Journal, Vol. 928, Issue 1
Brownian Motion of Black Holes in Dense Nuclei
journal, January 2007
- Merritt, David; Berczik, Peter; Laun, Frederik
- The Astronomical Journal, Vol. 133, Issue 2
A semi-analytic dynamical friction model for cored galaxies
journal, August 2016
- Petts, J. A.; Read, J. I.; Gualandris, A.
- Monthly Notices of the Royal Astronomical Society, Vol. 463, Issue 1