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There is strong evidence that the mass in the Universe is dominated by dark matter, which exerts gravitational attraction but whose exact nature is unknown. In particular, all galaxies are believed to be embedded in massive haloes of dark…

Astrophysics · Physics 2008-11-26 A. Dekel , F. Stoehr , G. A. Mamon , T. J. Cox , G. S. Novak , J. R. Primack

We investigate the stability of trajectories in barred galaxies with mildly triaxial halos by means of Liapunov exponents. This method is perfectly suitable for time-dependent 3D potentials where surfaces of sections and other simple…

Astrophysics · Physics 2009-11-07 Amr El-Zant , Isaac Shlosman

Hubble Space Telescope (HST) observations reveal that the density of stars in most elliptical galaxies rises toward the center in a power-law cusp. Many of these galaxies also contain central dark objects,possibly supermassive black holes.…

Astrophysics · Physics 2009-10-28 David Merritt

We describe an improved, practical method for constructing galaxy models that match an arbitrary set of observational constraints, without prior assumptions about the phase-space distribution function (DF). Our method is an extension of…

Astrophysics · Physics 2009-10-31 Nicolas Cretton , P. Tim de Zeeuw , Roeland P. van der Marel , Hans-Walter Rix

We present self-consistent triaxial stellar systems that have analytic distribution functions (DFs) expressed in terms of the actions. These provide triaxial density profiles with cores or cusps at the centre. They are the first…

Astrophysics of Galaxies · Physics 2015-09-30 Jason L. Sanders , N. Wyn Evans

Schwarzschild models of a Plummer sphere were constructed and compared with analytical results to test the robustness of Schwarzschild's method and its efficiency in probing the degeneracy of the solution space. The method was then used to…

Astrophysics · Physics 2007-05-23 Christos Siopis

We introduce a novel dynamical model, named empirical triaxial orbit-superposition model, for the Milky Way halo. This model relies on minimal physical assumptions that the system is stationary, meaning the distribution function in 6D…

Astrophysics of Galaxies · Physics 2025-11-05 Ling Zhu , Xiang-Xiang Xue , Shude Mao , Chengqun Yang , Lan Zhang

We present a wave generalization of the classic Schwarzschild method for constructing self-consistent halos -- such a halo consists of a suitable superposition of waves instead of particle orbits, chosen to yield a desired mean density…

Cosmology and Nongalactic Astrophysics · Physics 2023-01-09 Tomer D. Yavetz , Xinyu Li , Lam Hui

Cuspy triaxial potentials admit a large number of chaotic orbits, which moreover exhibit extreme "stickiness" that makes the process of chaotic mixing surprisingly inefficient. Environmental effects, modeled as noise and/or periodic…

Astrophysics · Physics 2007-05-23 Christos Siopis , Henry E. Kandrup

We evaluate the capabilities of Schwarzschild's orbit-superposition method by applying it to galaxies from the large scale, high resolution Illustris simulation. Nine early-type galaxies with a range of triaxiality are selected, and we…

Astrophysics of Galaxies · Physics 2019-05-01 Yunpeng Jin , Ling Zhu , R. J. Long , Shude Mao , Dandan Xu , Hongyu Li , Glenn van de Ven

This paper presents the properties of a family of scale-free triaxial haloes. We adduce arguments to suggest that the velocity ellipsoids of such models are aligned in conical coordinates. We provide an algorithm to find the set of…

Astrophysics · Physics 2009-10-31 N. W. Evans , C. M. Carollo , P. T. de Zeeuw

In several previous investigations we presented models of triaxial stellar systems, both cuspy and non cuspy, that were highly stable and harboured large fractions of chaotic orbits. All our models had been obtained through cold collapses…

Astrophysics of Galaxies · Physics 2015-06-18 D. D. Carpintero , J. C. Muzzio , H. D. Navone

We use Laskar's frequency mapping technique to study the dynamics of triaxial galaxies with central density cusps and nuclear black holes. For ensembles of 10^4 orbits, we numerically compute the three fundamental frequencies of the motion,…

Astrophysics · Physics 2009-10-30 Monica Valluri , David Merritt

We propose a solution of the cusp problem in framework of the standard $\Lambda$CDM cosmology. To do this we describe the linear and nonlinear periods of halo formation by the entropy function of dark matter particles. This approach allows…

Astrophysics · Physics 2010-11-11 E. Mikheeva , A. Doroshkevich , V. Lukash

We study the regular or chaotic character of orbits in a 3D dynamical model, describing a triaxial galaxy surrounded by a spherical dark halo component. Our numerical experiments suggest that the percentage of chaotic orbits decreases…

Astrophysics of Galaxies · Physics 2012-04-10 Nicolaos D. Caranicolas , Euaggelos E. Zotos

Recent, very accurate simulations of galaxy formation have revealed that the standard cold dark matter model has great difficulty in explaining the detailed structure of galaxies. One of the major problems is that galactic halos are too…

Astrophysics · Physics 2007-05-23 Steen Hannestad

A standard paradigm is now available for the recent evolution (z < 10) of structure on galactic and larger scales. Most of the matter is assumed to be dark and dissipationless and to cluster hierarchically from gaussian initial conditions.…

Astrophysics · Physics 2007-05-23 Simon D. M. White

Recent progress is summarized on the determination of the density distributions of stars and dark matter, stellar kinematics, and stellar population properties, in the extended, low surface brightness halo regions of elliptical galaxies.…

Astrophysics of Galaxies · Physics 2015-05-20 Ortwin Gerhard

We used the N-body code of Hernquist and Ostriker (1992) to build a dozen cuspy ({\gamma}\approx 1) triaxial models of stellar systems through dissipationless collapses of initially spherical distributions of 10^6 particles. We chose four…

Astrophysics of Galaxies · Physics 2015-06-04 Alejandra F. Zorzi , Juan C. Muzzio

We describe a semi-analytic model to predict the triaxial shapes of dark matter halos utilizing the sequences of random merging events captured in merger trees to follow the evolution of each halo's energy tensor. When coupled with a simple…

Astrophysics of Galaxies · Physics 2026-03-18 Paul Menker , Andrew J. Benson