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The transformation from angle-action variables to Cartesian coordinates is a crucial step of the (semi) classical description of bimolecular collisions and photo-fragmentations. The basic reason is that dynamical conditions corresponding to…

Chemical Physics · Physics 2009-03-25 M. L. González-Martínez , L. Bonnet , P. Larrégaray , J. -C. Rayez , J. Rubayo-Soneira

A simple analytical expression, which closely approximates the Coulomb potential between two uniformly charged spheres, is presented. This expression can be used in the optical potential semiclassical analyses which require that the…

Nuclear Theory · Physics 2009-11-07 R. Anni

The aim of the analysis of data from the Gaia Space Observatory is to obtain kinematic parameters of the collective motion of stars in a part of our galaxy. This research is based on a statistical analysis of the motion of {$55,038,539$}…

Astrophysics of Galaxies · Physics 2025-02-18 Petr Zavada , Karel Píška

We investigate the kinematics of stars in the mid-plane of the Milky Way on scales between 25 pc and 10 kpc with data from the Apache Point Observatory Galactic Evolution Experiment (APOGEE), the Radial Velocity Experiment (RAVE), and the…

Astrophysics of Galaxies · Physics 2015-06-23 Jo Bovy , Jonathan C. Bird , Ana E. García Pérez , Steven R. Majewski , David L. Nidever , Gail Zasowski

Dynamics of charged matter in the oblique black hole magnetosphere is investigated. In particular, we adopt a model consisting of a rotating black hole embedded in the external large-scale magnetic field that is inclined arbitrarily with…

General Relativity and Quantum Cosmology · Physics 2016-01-07 Ondřej Kopáček , Vladimír Karas

The angular correlation is a method for measuring the distribution of structure in the Universe, through the statistical properties of the angular distribution of galaxies on the sky. We measure the angular correlation of galaxies from the…

Cosmology and Nongalactic Astrophysics · Physics 2024-11-20 Brandon Venville , David Parkinson , Natasha Hurley-Walker , Tim Galvin , Kathryn Ross

We present a method for extracting actions, angles and frequencies from an orbit's time series. The method recovers the generating function that maps an analytic phase-space torus to the torus to which the orbit is confined by…

Astrophysics of Galaxies · Physics 2015-06-18 Jason L. Sanders , James Binney

A dynamic model of the Galaxy is constructed based on kinematic data for masers with trigonometric parallaxes. Maser data is used to compute the model potential in the Galactic plane. The potential is then generalized to three dimensions…

Astrophysics of Galaxies · Physics 2018-02-28 A. O. Gromov , I. I. Nikiforov , L. P. Ossipkov

We quantify systematic biases in rotation curves inferred from steady, axisymmetric Jeans modelling when the underlying stellar velocity field is non-axisymmetric. Using a high-resolution $N$-body/hydrodynamic simulation of an isolated…

Astrophysics of Galaxies · Physics 2026-05-12 Tomoki Yamaguchi , Junichi Baba

Previous analyses of large databases of Milky Way stars have revealed the stellar disk of our Galaxy to be warped and that this imparts a strong signature on the kinematics of stars beyond the solar neighborhood. However, due to the…

We present an improved method for calculating the parallel and perpendicular velocity correlation functions directly from peculiar velocity surveys using weighted maximum-likelihood estimators. A central feature of the new method is the use…

Cosmology and Nongalactic Astrophysics · Physics 2021-09-29 Yuyu Wang , Sarah Peery , Hume A. Feldman , Richard Watkins

We present an estimate of the third integral of motion for axisymmetric three-dimensional potentials. This estimate is based on a Staeckel approximation and is explicitly written as a function of the potential. We tested this scheme for the…

Astrophysics of Galaxies · Physics 2015-09-30 O. Bienaymé , A. C. Robin , B. Famaey

Angular statistics of cosmological observables are hard to compute. The main difficulty is due to the presence of highly-oscillatory Bessel functions which need to be integrated over. In this paper, we provide a simple and fast method to…

Cosmology and Nongalactic Astrophysics · Physics 2017-12-12 Valentin Assassi , Marko Simonović , Matias Zaldarriaga

Aims. Galaxy mass models based on simple and analytical functions for the density and potential pairs have been widely proposed in the literature. Disk models constrained by kinematic data alone give information on the global disk structure…

Astrophysics of Galaxies · Physics 2016-10-05 D. A. Barros , J. R. D. Lépine , W. S. Dias

The Milky Way is a complex ecosystem, for which we can obtain detailed observations probing the physical mechanisms determining the interstellar medium. For a detailed comparison with observations, and to provide theories for missing…

A method for determining the orbital parameters of interacting pairs of galaxies is presented and evaluated using artificial data. The method consists of a genetic algorithm which can search efficiently through the very large space of…

Astrophysics · Physics 2009-10-30 M. Wahde

The only way to map the Galaxy's gravitational potential $\Phi({\bf x})$ and the distribution of matter that produces it is by modelling the dynamics of stars and gas. Observations of the kinematics of gas provide key information about…

Astrophysics · Physics 2007-05-23 Walter Dehnen , James Binney

We introduce a method to infer the vertical distribution of stars in the Milky Way using a Poisson likelihood function, with a view to applying our method to the Gaia catalogue. We show how to account for the sample selection function and…

Astrophysics of Galaxies · Physics 2021-12-08 Andrew Everall , N. Wyn Evans , Vasily Belokurov , Douglas Boubert , Robert J. J. Grand

We measure the Galactic rotation curve and its first two vertical derivatives in the first and fourth quadrants of the Milky Way using the 21 cm VGPS and SGPS. We find tangent velocities of the atomic gas as a function of galactic longitude…

Astrophysics · Physics 2009-06-23 E. S. Levine , Carl Heiles , Leo Blitz

A new method for determining the nature of the orbital motion (chaotic or regular) of globular clusters in the central region of the Galaxy with a radius of 3.5 kpc, which are most affected by the bar, is proposed. The method is based on…

Astrophysics of Galaxies · Physics 2025-04-30 Anisa Bajkova , Anton Smirnov , Vadim Bobylev