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We describe methods to measure simultaneously the orientation angle $\psi$ and pattern speed $\Omega$ from single snapshots of simulated barred galaxies. Unlike previous attempts, our approach is unbiased, precise, and consistent in the…

Astrophysics of Galaxies · Physics 2022-11-16 Walter Dehnen , Marcin Semczuk , Ralph Schoenrich

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

High-accuracy astrometry permits the determination of not only stellar tangential motion, but also the component along the line-of-sight. Such non-spectroscopic (i.e. astrometric) radial velocities are independent of stellar atmospheric…

Astrophysics · Physics 2007-05-23 Dainis Dravins , Lennart Lindegren , Soren Madsen

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

It is known that stellar differential rotation can be detected by analyzing the Fourier transform of spectral line profiles, since the ratio of the 1st- and 2nd-zero frequencies is a useful indicator. This approach essentially relies on the…

Solar and Stellar Astrophysics · Physics 2020-02-19 Yoichi Takeda

Joint analyses of the large-scale distribution of galaxies, and their motions under the gravitational influence of this density field, allow powerful tests of the cosmological model, including measurement of the growth rate of cosmic…

Cosmology and Nongalactic Astrophysics · Physics 2024-10-14 Chris Blake , Ryan J. Turner

A significant fraction of barred spiral galaxies exhibits peanut/X-shaped structures in their central regions. Bars are known to rotate with a single pattern speed, and they eventually slow down over time due to the dynamical friction with…

Astrophysics of Galaxies · Physics 2021-05-10 Pavan Vynatheya , Kanak Saha , Soumavo Ghosh

Laser remote sensing represents a powerful tool that enables the accurate measurement of the speed of moving targets. Crucially, most sensing techniques are 2-Dimensional and only enable direct determination of the speed along the line of…

Optics · Physics 2019-04-16 Xiao-Bo Hu , Bo-Zhao , Zhi-Han Zhu , Wei Gao , Carmelo Rosales-Guzman

This paper analyzes the robustness of recent 3D shape descriptors to SO(3) rotations, something that is fundamental to shape modeling. Specifically, we formulate the task of rotated 3D object instance detection. To do so, we consider a…

Computer Vision and Pattern Recognition · Computer Science 2023-05-31 Supriya Gadi Patil , Angel X. Chang , Manolis Savva

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

We revisit the linear search problem where a robot, initially placed at the origin on an infinite line, tries to locate a stationary target placed at an unknown position on the line. Unlike previous studies, in which the robot travels along…

Data Structures and Algorithms · Computer Science 2017-01-12 Jurek Czyzowicz , Evangelos Kranakis , Danny Krizanc , Lata Narayanan , Jaroslav Opatrny , Sunil Shende

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

In the racetrack acceleration model, proposed by Martin Gardner in 1973, each step consists of changing the position of the vehicle by a vector in $\mathbb{Z}^2$, with the constraints that two consecutive vectors differ by at most one unit…

Computational Geometry · Computer Science 2026-02-26 Arnaud Casteigts , Matteo De Francesco , Pierre Leone

A matrix method is formulated in a Lagrangian representation for the solution of the characteristic value problem governing modes of oscillation and instability in a collisionless stellar system. The underlying perturbation equations govern…

Astrophysics · Physics 2009-11-07 Peter O. Vandervoort

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

In this paper, we propose a new approach, based on the so-called modulating functions to estimate the average velocity, the dispersion coefficient and the differentiation order in a space fractional advection dispersion equation. First, the…

Optimization and Control · Mathematics 2014-02-12 Abeer Aldoghaither , Taous-Meriem Laleg-Kirati , Da-Yan Liu

We propose a new method for determining the stochastic or ordered nature of trajectories in non-integrable Hamiltonian dynamical systems. The method consists of constructing a time-series from the divergence of nearby trajectories and then…

Chaotic Dynamics · Physics 2007-05-23 Ch. L. Vozikis , H. Varvoglis , K. Tsiganis

We show that standard Relativistic Dynamics Equation F=dp/d\tau is only partially covariant. To achieve full Lorentz covariance, we replace the four-force F by a rank 2 antisymmetric tensor acting on the four-velocity. By taking this tensor…

General Physics · Physics 2013-04-30 Yaakov Friedman , Tzvi Scarr

We use the continuity equation to derive a method for measuring the pattern speed of the Milky Way's bar/bulge from proper motion data. The method has minimal assumptions but requires complete coverage of the non-axisymmetric component in…

Astrophysics of Galaxies · Physics 2019-08-21 Jason L. Sanders , Leigh Smith , N. Wyn Evans

In this work, a method for directly measuring target velocity in three dimensions using a dual axis correlation interferometric radar is presented. Recent advances have shown that the measurement of a target's angular velocity is possible…

Signal Processing · Electrical Eng. & Systems 2021-12-14 Jason Merlo , Eric Klinefelter , Jeffrey A. Nanzer