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We investigate the gravitational potentials generated by axisymmetric, razor-thin disks. Within certain limitations, the potential on one side of the disk is shown to be equivalent to the potential produced by a linear mass distribution…

Classical Physics · Physics 2026-04-16 J. An

We present an approach to the design of distribution functions that depend on the phase-space coordinates through the action integrals. The approach makes it easy to construct a dynamical model of a given stellar component. We illustrate…

Astrophysics of Galaxies · Physics 2015-06-23 Lorenzo Posti , James Binney , Carlo Nipoti , Luca Ciotti

We present a simple, closed form expression for the potential of an axisymmetric disk of stars interacting through gravitational potentials of the form $V(r)=-\beta /r+\gamma r/2$, the potential associated with fundamental sources in the…

Astrophysics · Physics 2007-05-23 Philip D. Mannheim

A class of complete potential-density basis sets in cylindrical (R,phi,z) coordinates is presented. This class is suitable for stability studies of galactic disks in three dimensions and includes basis sets tailored for disks with vertical…

Astrophysics · Physics 2009-10-28 David J. D. Earn

Axisymmetric density distributions are constructed which are invisible when viewed from a range of inclination angles $i$. By adding such distributions to a model galaxy, it can be made either disky or boxy without in any way affecting its…

Astrophysics · Physics 2015-06-24 Ortwin Gerhard , James Binney

We present the results from our deep optical imaging survey \mu_lim=26-27 V-mag/arcsec^2 of a morphologically selected sample of 72 edge-on disk galaxies. The question of the global structure of galactic stellar disks, especially the radial…

Astrophysics · Physics 2007-05-23 M. Pohlen , R. -J. Dettmar , R. Luetticke , G. Aronica

Six exact solutions are obtained in the general scalar-tensor theory of gravity related to spatially homogeneous wave-like models of the Universe. Wave-like space-time models allow the existence of privileged coordinate systems where the…

General Relativity and Quantum Cosmology · Physics 2020-10-06 K. Osetrin , A. Filippov , E. Osetrin

We find a family of exact solutions of Einstein equations describing the field of a static axisymmetric thin disk living in six-dimensional space-time. In particular, we study the disks constructed (by cutting out the central part of the…

Astrophysics · Physics 2007-08-27 Carlos H. Coimbra-Araujo , Patricio S. Letelier

The Nuclear Stellar Disc (NSD) is a flattened high-density stellar structure that dominates the gravitational field of the Milky Way at Galactocentric radius $30\lesssim R\lesssim 300$ pc. We construct axisymmetric self-consistent…

We present a new three-parameter family of self-consistent equilibrium models for quasi-relaxed stellar systems that are subject to the combined action of external tides and rigid internal rotation. These models provide an idealised…

Astrophysics of Galaxies · Physics 2025-12-16 Lucy A. Z. Arditi , Anna Lisa Varri

Disc non-axisymmetrc components, such as spirals and central bars, are nowadays known to play an important role in shaping galactic discs. Here we use Tree-SPH N-body simulations to examine the effect of these perturbers on two aspects: the…

Astrophysics of Galaxies · Physics 2015-06-03 Ivan Minchev , Benoit Famaey , Alice C. Quillen , Walter Dehnen

In this paper we present a theoretical analysis of the global dynamics in a triaxial galactic system using a 3D integrable Hamiltonian as a simple representation. We include a thorough discussion on the effect of adding a generic…

Astrophysics · Physics 2009-11-11 Pablo M. Cincotta , Claudia M. Giordano , Josefa Perez , .

A new theory of eccentric accretion discs is presented. Starting from the basic fluid-dynamical equations in three dimensions, I derive the fundamental set of one-dimensional equations that describe how the mass, angular momentum and…

Astrophysics · Physics 2009-11-06 G. I. Ogilvie

As recent observations of the molecular discs in spiral galaxies point to the existence of a diffuse, low-density thick molecular disc along with the prominent thin one, we investigate the observational signatures of this thick disc by…

Astrophysics of Galaxies · Physics 2020-07-08 Narendra Nath Patra

Holes and clumps in the interstellar gas of dwarf irregular galaxies are gravitational scattering centers that heat field stars and change their radial and vertical distributions. Because the gas structures are extended and each stellar…

Astrophysics of Galaxies · Physics 2017-05-31 Curtis Struck , Bruce G. Elmegreen

Spherical Bessel functions appear commonly in many areas of physics wherein there is both translation and rotation invariance, and often integrals over products of several arise. Thus, analytic evaluation of such integrals with different…

Mathematical Physics · Physics 2023-12-25 Jessica Chellino , Zachary Slepian

We present an analytical simple formula for an approximated third integral of motion associated with nearly equatorial orbits in the Galaxy: $I_{3}=Z\Sigma_{I}^{1/3}$, where $Z(R)$ is the vertical amplitude of the orbit at galactocentric…

Astrophysics of Galaxies · Physics 2016-06-23 Ronaldo S. S. Vieira , Javier Ramos-Caro

We report the results of a systematic comparison between the vertically averaged model and the vertically explicit model of steady state, Keplerian, optically thick "alpha"-discs. The simulations have concerned discs currently found in…

Astrophysics · Physics 2016-08-30 Jean-Marc Huré , Frédéric Galliano

We present a new, simple, fast algorithm to numerically evolve disks of inelastically colliding particles surrounding a central star. Our algorithm adds negligible computational cost to the fastest existing collisionless N-body codes, and…

Astrophysics · Physics 2008-11-26 Yoram Lithwick , Eugene Chiang

We present a novel positive potential-density pair expansion for modelling galaxies, based on the Miyamoto-Nagai (MN) disc. By using three sets of such discs, each one of them aligned along each symmetry axis, we are able to reconstruct a…

Astrophysics of Galaxies · Physics 2016-04-14 Armando Rojas-Niño , Justin I. Read , Luis Aguilar , Maxime Delorme