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The transverse velocities of steadily rotating, non--axisymmetric patterns in flat galaxies may be determined by a purely kinematical method, using two dimensional maps of a tracer surface brightness and radial current density. The…

Astrophysics · Physics 2009-11-07 S. Sridhar , Niranjan Sambhus

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

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,…

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…

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 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…

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

We investigate pattern speeds in spiral galaxies where the structure is induced by an interaction with a companion galaxy. We perform calculations modeling the response of the stellar and/or gaseous components of a disc. Generally we do not…

Astrophysics of Galaxies · Physics 2010-02-08 C. L. Dobbs

Based on a high quality $N$-body simulation of a double bar galaxy model, we investigate the evolution of the bar properties, including their size, strength and instantaneous pattern speed derived by using three distinct methods: the…

Astrophysics of Galaxies · Physics 2018-07-11 Yu-Ting Wu , Daniel Pfenniger , Ronald E. Taam

The pattern speed in one of the fundamental parameters that determines the structure of barred galaxies. This quantity is usually derived from indirect methods or by employing model assumptions. The number of bar pattern speeds derived…

Astrophysics · Physics 2009-11-10 Joris Gerssen , Konrad Kuijken , Michael R. Merrifield

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

Symmetry detection and discrimination are of fundamental meaning in science, technology, and engineering. This paper introduces reflection invariants and defines the directional moment to detect symmetry for shape analysis and object…

Computer Vision and Pattern Recognition · Computer Science 2017-06-02 Erbo Li , Hua Li

We use the Tremaine-Weinberg method, adapted to the Milky Way, to measure a pattern speed in OH/IR stars located in the inner MW.

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

Rotational speed is an important physical parameter of stars and knowing the distribution of stellar rotational velocities is essential for the understanding stellar evolution. However, it cannot be measured directly but the convolution of…

Instrumentation and Methods for Astrophysics · Physics 2015-06-18 Michel Cure , Diego F. Rial , Alejandra Christen , Julia Cassetti

A new approach to estimating the velocity of the pole moving is considered. The method uses the model-calculated spatial distribution of the (vector) horizontal component \textbf{H} for a given year and its change relative to the closest…

Geophysics · Physics 2023-01-18 S. A. Ivanov , S. A. Merkuryev , I. M. Demina

The Fourier Transform method is a popular tool to derive the rotational velocities of stars from their spectral line profiles. However, its domain of validity does not include line-profile variables with time-dependent profiles. We…

Solar and Stellar Astrophysics · Physics 2014-10-01 C. Aerts , S. Simon-Diaz , P. J. Groot , P. Degroote

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 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

In this paper we analyse the methodology to derive the bar pattern speed from dynamical simulations. The results are robust to the changes in the vertical-scale height and in the mass-to-light (M/L) ratios. There is a small range of…

Astrophysics of Galaxies · Physics 2010-02-08 I. Perez , K. C. Freeman , R. Fux , A. Zurita

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
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