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We show how the continuity equation can be used to determine pattern speeds in the Milky Way Galaxy (MWG). This method, first discussed by Tremaine & Weinberg in the context of external galaxies, requires projected positions, $(l,b)$, and…

Astrophysics · Physics 2009-11-07 Victor P. Debattista , Ortwin Gerhard , Maartje N. Sevenster

The Fabry-Perot interferometer FaNTOmM was used at the 3.6m Canada France Hawaii Telescope and the 1.6m Mont Megantic Telescope to obtain data cubes in H-alpha of 9 nearby spiral galaxies from which maps in integrated intensity, velocity,…

The Tremaine-Weinberg method is a well-known model independent technique for measuring density wave pattern speeds in spiral galaxies. Here we show how it can be applied to the data cubes (maps of surface brightness and velocity) obtained…

The relevance of the Tremaine-Weinberg (TW) method is tested to measure the bar, spiral and inner structure pattern speeds using a gaseous velocity field. The TW method is applied to various simulated barred galaxies in order to demonstrate…

Astrophysics · Physics 2009-11-11 O. Hernandez , H. Wozniak , C. Carignan , P. Amram , L. Chemin , O. Daigle

Spiral galaxies displaying molecule-dominated ISMs are potential candidates for pattern speed determination by the Tremaine-Weinberg (TW) method (1984); the molecular gas of such galaxies, as traced by CO emission, is argued to…

Astrophysics · Physics 2016-08-30 S. E. Meidt , R. J. Rand

The twin peaks in the nucleus of M31 have been interpreted by Tremaine as a thick, eccentric, disk of stars orbiting a massive dark object; the required alignment of the apoapsides of the stellar orbits could be maintained by self-gravity,…

Astrophysics · Physics 2009-10-31 Niranjan Sambhus , S. Sridhar

The Tremaine-Weinberg (TW) method and its variations provide the most direct means to measure the pattern speeds of galactic bars. We establish a unifying framework by deriving an integral form of the continuity equation over an arbitrary…

Astrophysics of Galaxies · Physics 2026-04-10 Hangci Du , Yougang Wang , Junqiang Ge , Rui Guo

The dynamics of a barred galaxy depends on the angular velocity or pattern speed of its bar. Indeed, it is related to the location of corotation where gravitational and centrifugal forces cancel out in the rest frame of the bar. The only…

Astrophysics of Galaxies · Physics 2010-02-08 E. M. Corsini

At the intersection of galactic dynamics, evolution and global structure, issues such as the relation between bars and spirals and the persistence of spiral patterns can be addressed through the characterization of the angular speeds of the…

Pattern speeds are a fundamental parameter of the dynamical features (e.g. bars, spiral arms) of a galaxy, setting resonance locations. Pattern speeds are not directly observable, so the Tremaine-Weinberg (TW) method has become the most…

Astrophysics of Galaxies · Physics 2023-07-19 Olga Borodina , Thomas G. Williams , Mattia C. Sormani , Sharon Meidt , Eva Schinnerer

The dynamics of a barred galaxy depends on the pattern speed of its bar. The only direct method for measuring the pattern speed of a bar is the Tremaine-Weinberg technique. This method relies on the analysis of the distribution and dynamics…

Astrophysics · Physics 2007-05-23 E. M. Corsini

We apply the Tremaine-Weinberg method of pattern speed determination to data cubes of CO emission in six spiral galaxies from the BIMA SONG survey each with an ISM dominated by molecular gas. We compare derived pattern speeds with estimates…

Astrophysics · Physics 2009-11-10 Richard J. Rand , John F. Wallin

We have applied the Tremaine-Weinberg method to 10 late-type barred spiral galaxies using data cubes, in H-alpha emission, from the GHAFAS and FANTOMM Fabry-Perot spectrometers. We have combined the derived bar (and/or spiral) pattern…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-20 Kambiz Fathi , John Beckman , Nuria Piñol-Ferrer , Olivier Hernandez , Inma Martinez-Valpuesta , Claude Carignan

The very first results of the application of the Tremaine-Weinberg (hereafter TW) method on Halpha velocity fields are presented to find pattern speeds of galaxies. The technique is used for a sample of four barred galaxies(NGC4321,…

Astrophysics · Physics 2019-08-15 O. Hernandez , C. Carignan , P. Amram , and O. Daigle

We have used the Tremaine-Weinberg method to measure the angular speed of rotation for the bar in the SB0 galaxy NGC 936. With this technique, the bar's pattern speed, Omega_p, can be derived from the luminosity and stellar-kinematic…

Astrophysics · Physics 2015-06-24 Michael R. Merrifield , Konrad Kuijken

We apply the Tremaine-Weinberg method to 19 nearby galaxies using stellar mass surface densities and velocities derived from the PHANGS-MUSE survey, to calculate (primarily bar) pattern speeds ($\Omega_{\rm P}$). After quality checks, we…

The grand-design spiral galaxy M51 has long been a crucial target for theories of spiral structure. Studies of this iconic spiral can address the question of whether strong spiral structure is transient (e.g. interaction-driven) or…

Current theories of spiral and bar structure predict a variety of pattern speed behaviors, calling for detailed, direct measurement of the radial variation of pattern speeds. Our recently developed Radial Tremaine-Weinberg (TWR) method…

Astrophysics of Galaxies · Physics 2015-05-13 Sharon E. Meidt , Richard J. Rand , Michael R. Merrifield

The dynamics of a barred galaxy depends on the pattern speed of its bar. The only direct method for measuring the pattern speed of a bar is the Tremaine-Weinberg technique. This method is best suited to the analysis of the distribution and…

Astrophysics · Physics 2009-11-13 E. M. Corsini

We measured the bar pattern speed in a sample of 7 SB0 galaxies using the Tremaine-Weinberg method. This represents the largest sample of galaxies for which bar pattern speed has been measured this way. All the observed bars are as rapidly…

Astrophysics · Physics 2007-05-23 Enrico Maria Corsini , J. A. L. Aguerri , Victor P. Debattista
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