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The dynamics of a test particle in the field of a model galaxy proposed by Serge Aubry is studied by a combination of theory and numerical computation. Regimes of near-integrable behaviour and almost perfect chaos are found. A proposed…

Classical Physics · Physics 2025-09-23 Megha Burri , Robert S. MacKay

Much of standard galaxy dynamics rests on the implicit assumption that the corresponding N-body problem is (near) integrable. This notion although leading to great simplification is by no means a fact. It is therefore important to develop…

Astrophysics · Physics 2008-02-03 Amr El-Zant

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

The Jeans equations do not form a closed system, and to solve them a parametrization relating the velocity moments is often adopted. For axisymmetric models, a phenomenological choice (the "$b$-ansatz") is widely used for the relation…

Astrophysics of Galaxies · Physics 2024-04-11 Leonardo De Deo , Luca Ciotti , Silvia Pellegrini

We review and complete the kinetic theory of spatially inhomogeneous stellar systems when collective effects (dressing of the stars by their polarization cloud) are neglected. We start from the BBGKY hierarchy issued from the Liouville…

Astrophysics of Galaxies · Physics 2015-06-11 Pierre-Henri Chavanis

We aim at a detailed description of the kinematic properties of the old, (several Gyrs) late-type CO-absorption star population among the Galactic centre (GC) cluster stars. We applied AO-assisted, near-infrared imaging and integral-field…

We present new measurements of the coherent motion of galaxies based on observations of the large-scale redshift-space distortions seen in the two-dimensional two-point correlation function of Luminous Red Galaxies in Data Release Seven of…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-19 Yong-Seon Song , Cristiano G. Sabiu , Issha Kayo , Robert C. Nichol

We exploit a new theory of gravity proposed by Finzi, which gives stronger interaction at large scales, to study the thermodynamic description of galaxy clusters. We employ a statistical model to deduce various thermodynamics equations of…

General Relativity and Quantum Cosmology · Physics 2023-05-26 Abdul W. Khanday , Sudhaker Upadhyay , Naseer Iqbal , Prince A. Ganai

We use hierarchical Bayesian regression analysis to investigate star formation laws in the Andromeda galaxy (M31) in both local (30, 155, and 750pc) and global cases. We study and compare the well-known Kennicutt-Schmidt law, the extended…

Astrophysics of Galaxies · Physics 2015-12-22 Sahar Rahmani , Sophia Lianou , Pauline Barmby

In recent years integral-field spectroscopic surveys have revealed that the presence of kinematically decoupled stellar components is not a rare phenomenon in nearby galaxies. However, complete statistics are still lacking because they…

Astrophysics of Galaxies · Physics 2021-10-13 M. Rubino , A. Pizzella , L. Morelli , L. Coccato , E. Portaluri , V. P. Debattista , E. M. Corsini , E. Dalla Bontà

We present the results of the kinematic investigations carried out with the use of spatial velocities of red giants and sub-giants containing in the $Gaia$~EDR3 catalogue. The twelve kinematic parameters of the Ogorodnikov--Milne model have…

Astrophysics of Galaxies · Physics 2021-10-13 P. N. Fedorov , V. S. Akhmetov , A. B. Velichko , A. M. Dmytrenko , S. I. Denischenko

M31 has a giant stream of stars extending far to the south and a great deal of other tidal debris in its halo, much of which is thought to be directly associated with the southern stream. We model this structure by means of Bayesian…

We developed a new selection method of halo stars in the phase-space distribution defined by the three integrals of motion in an axisymmetric Galactic potential, ($E$, $L_z$, $I_3$), where $I_3$ is the third integral of motion. The method…

Astrophysics of Galaxies · Physics 2021-03-03 Daniela Carollo , Masashi Chiba

Recent advances in observational techniques and theoretical modelling of galaxy kinematics allow us to use more than just optical morphology to discern the structure and dynamics of galaxies. Here, we show for three barred galaxies (UGC…

The three-dimensional secular behavior of a system composed of a central star and two massive planets is modeled semi-analytically in the frame of the general three-body problem. The main dynamical features of the system are presented in…

Astrophysics · Physics 2015-06-24 T. A. Michtchenko , S. Ferraz-Mello , C. Beauge

Starting from the problem of two fixed centres we find a simple derivation of its third integral in terms of the scalar product of the angular momenta about the two fixed centres. This is then generalised to find the general form of the…

Astrophysics · Physics 2009-11-07 Donald Lynden-Bell

Advances in optical astrometry allow us to infer the non-radial kinematic structure of the Universe directly from observations. Here I use a supervised machine learning neural network method to predict 1.57 million redshifts based on…

Astrophysics of Galaxies · Physics 2025-07-03 Valeri V. Makarov

The disks of galaxies are primarily stellar systems, and fundamentally dynamical entities. Thus, to fully understand galactic disks, we must study their stellar kinematics as well as their morphologies. Observational techniques have now…

Astrophysics · Physics 2007-05-23 Michael R. Merrifield , Konrad Kuijken

We have analyzed the kinematics of OB stars from the list by Xiang et al. (2021) that contains $\sim$13 000 single OB stars. For these stars there are photometric distance estimates and proper motions from the Gaia catalogue and…

Astrophysics of Galaxies · Physics 2022-07-06 V. V. Bobylev , A. T. Bajkova , G. M. Karelin

The Galaxy inner parts are generally considered to be optically symmetric, as well as kinematically symmetric for most massive early-type galaxies. At the lower-mass end, many galaxies contain lots of small patches in their velocity maps,…

Astrophysics of Galaxies · Physics 2024-03-07 Ze-Hao Zhong , Gang Zhao , Hans-Walter Rix , Luis C. Ho