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Schwarzschild's orbit-superposition technique is the most developed and well-tested method available for constraining the detailed mass distributions of equilibrium stellar systems. Here I provide a very short overview of the method and its…

Astrophysics of Galaxies · Physics 2015-05-19 Julio Chanamé

Tremendous progress has been made recently in modelling the morphology and kinematics of centers of galaxies. Increasingly realistic models are built for central bar, bulge, nucleus and black hole of galaxies, including our own. The newly…

Astrophysics · Physics 2009-10-31 HongSheng Zhao

A new parameter space is used to classify circular orbits in the Schwarzschild metric.

General Relativity and Quantum Cosmology · Physics 2010-08-31 F. T. Hioe , David Kuebel

This article describes the Schwarzschild orbit superposition method. It is the state-of-the-art dynamical modelling tool for early-type galaxies. Tests with analytic models show that masses and orbital anisotropies of not too face-on…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-11 Jens Thomas

(ABRIDGED) We present a new Schwarzschild orbit-superposition code designed to model discrete datasets composed of velocities of individual kinematic tracers in a dynamical system. This constitutes an extension of previous implementations…

Astrophysics · Physics 2009-11-13 Julio Chanamé , Jan Kleyna , Roeland van der Marel

Exact analytic expressions for planetary orbits and light trajectories in the Schwarzschild geometry are presented. A new parameter space is used to characterize all possible planetary orbits. Different regions in this parameter space can…

General Relativity and Quantum Cosmology · Physics 2010-04-30 F. T. Hioe , David Kuebel

We review the methods used to study the orbital structure and chaotic properties of various galactic models and to construct self-consistent equilibrium solutions by Schwarzschild's orbit superposition technique. These methods are…

Astrophysics of Galaxies · Physics 2014-04-09 Eugene Vasiliev

Detailed knowledge of the different classes of stellar orbits that can be accommodated in a given galactic potential is a prerequisite when building self-consistent models using for instance the Schwazschild technique. Furthermore,…

Astrophysics of Galaxies · Physics 2023-02-24 Claudio Llinares

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 Forstand, a new code for constructing dynamical models of galaxies with the Schwarzschild orbit-superposition method. These models are constrained by line-of-sight kinematic observations and applicable to galaxies of all…

Astrophysics of Galaxies · Physics 2020-02-05 Eugene Vasiliev , Monica Valluri

We numerically investigate the motion of stars on the meridional plane of an axially symmetric disk galaxy model, containing a central supermassive black hole, represented by the Paczynski-Wiita potential. By using this pseudo-Newtonian…

Astrophysics of Galaxies · Physics 2021-08-12 Euaggelos E. Zotos , F. L. Dubeibe , André F. Steklain , Tareq Saeed

We review the Schwarzschild orbit-superposition approach and present a new implementation of this method, which can deal with a large class of systems, including rotating barred disk galaxies. We discuss two conceptuals problems in this…

Astrophysics of Galaxies · Physics 2020-05-20 Eugene Vasiliev , Monica Valluri

We describe a practical method for constructing axisymmetric two-integral galaxy models (with distribution functions of the form f(E,L_z), in which E is the orbital energy, and L_z is the vertical component of the angular momentum), based…

Astrophysics · Physics 2009-11-07 E. K. Verolme , P. T. de Zeeuw

We apply the Schwarzschild orbit superposition method to mock data in order to investigate the accuracy of recovering the profile of the orbit anisotropy. The mock data come from four numerical realizations of dark matter haloes with well…

Astrophysics of Galaxies · Physics 2015-12-24 Klaudia Kowalczyk , Ewa L. Lokas , Monica Valluri

We calculate the orbits of a particle in Schwarzschild spacetime, assuming that the dynamics is governed by a Snyder symplectic structure. With this assumption, the perihelion shift of the planets acquires an additional contribution with…

General Relativity and Quantum Cosmology · Physics 2015-06-19 S. Mignemi , R. Strajn

Orbit superposition models are a non-parametric dynamical modelling technique to determine the mass of a galaxy's central supermassive black hole (SMBH), its stars, or its dark-matter halo. One of the main problems is how to decide which…

Astrophysics of Galaxies · Physics 2021-04-28 Mathias Lipka , Jens Thomas

We use three strong lensing clusters to constrain the cosmological parameters Omega_m and Omega_lambda. Recent HST observations of galaxy clusters reveal a large number of multiple images, which are predicted to be at different redshifts.…

Astrophysics · Physics 2007-05-23 G. Golse , J. -P. Kneib , G. Soucail

Dwarf spheroidal (dSph) galaxies are believed to be strongly dark matter dominated and thus are considered perfect objects to study dark matter distribution and test theories of structure formation. They possess resolved, multiple stellar…

Astrophysics of Galaxies · Physics 2022-03-16 Klaudia Kowalczyk , Ewa L. Lokas

We describe a simple algorithm for classifying orbits into orbit families. This algorithm works by finding patterns in the sign changes of the principal coordinates. Orbits in the logarithmic potential are studied as an application; we…

Astrophysics · Physics 2009-10-31 Eliza E. Fulton , Joshua E. Barnes

Syer and Tremaine's made-to-measure method and Schwarzschild's orbit superposition method are well-known within the field of stellar dynamical modeling. This research is concerned with assessing and comparing the operational capabilities of…

Astrophysics of Galaxies · Physics 2026-01-22 Richard J. Long
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