Integrals of Motion in an Elliptical Galaxy Model

1987 ◽  
pp. 485-486
Author(s):  
Althea Wilkinson ◽  
Tim de Zeeuw
Keyword(s):  
Elliptical Galaxy ◽  
Integrals Of Motion ◽  
Galaxy Model

Integrals of Motion in an Elliptical Galaxy Model

1987 ◽  
Vol 127 ◽  
pp. 485-486
Author(s):  
Althea Wilkinson ◽  
Tim de Zeeuw
Keyword(s):  
Distribution Function ◽  
Phase Space ◽  
Numerical Integration ◽  
Spectral Decomposition ◽  
Elliptical Galaxy ◽  
Space Distribution ◽  
Integrals Of Motion ◽  
Phase Space Distribution ◽  
Body Model ◽  
Galaxy Model

The structure of a galaxy model is described completely by its phase–space distribution function f. By Jeans' Theorem f can be written as a function of the integrals of motion admitted by the potential of the model. Various independent combinations of the integrals may be used as arguments of f; in many cases the action integrals are to be preferred. For a general N–body model, these can be obtained by numerical integration and subsequent spectral decomposition of each orbit (Binney and Spergel 1984).

scholarly journals The Chemodynamical Evolution of Spheroidal Systems and the Resultant Stellar Abundance Distribution Function

1996 ◽  
Vol 169 ◽  
pp. 425-426
Author(s):  
T. Tsujimoto ◽  
T. Shigeyama ◽  
K. Nomoto
Keyword(s):  
Galaxy Formation ◽  
Thermal Energy ◽  
Elliptical Galaxy ◽  
Three Dimensional ◽  
Galactic Bulge ◽  
Interstellar Gas ◽  
Sph Method ◽  
Relative Ratio ◽  
Galaxy Model ◽  
Formation And Evolution

We construct a chemo-dynamical model for galaxy formation using a three dimensional SPH method. We simulate the formation of two spheroidal systems, i.e., the elliptical galaxy and the Galactic bulge, based on the collapse scenario for protogalaxies. We obtain the chemodynamical formation and evolution models for the two systems during the first ∼ 1 Gyr. The relative ratio of kinetic to thermal energy of supernovae is found to heavily determine the outcome. By giving the explosion energy of supernovae to the interstellar gas with a physically meaningful relative ratio of kinetic to thermal energy, the elliptical galaxy model has the hot halo and the galactic wind, but it is not the case for the Galactic bulge model.

scholarly journals Orbits

1987 ◽  
Vol 127 ◽  
pp. 229-239
Author(s):  
James Binney
Keyword(s):  
Phase Space ◽  
Elliptical Galaxy ◽  
Orbital Structure ◽  
Integrals Of Motion ◽  
Resonant Orbits ◽  
Chaotic Orbits ◽  
Figure Rotation

Orbits that respect at least three isolating integrals of motion have very special structures in phase space. The main characteristics of this structure are reviewed, and the concrete examples that are provided by orbits in Stäckel potentials, are discussed. Many orbits in general potentials admit three approximate isolating integrals and closely resemble orbits in Stäckel potentials. If the potential is that of an elliptical galaxy with negligible figure rotation, the overall orbital stucture of the potential differs from that of a Stäckel potential only by the presence of a few unimportant families of resonant orbits. However, this elegant picture is shattered by the introduction of non-negligible figure rotation: though substantial regions of phase space may still be occupied by orbits that individually resemble orbits in Stäckel potentials, the overall orbital structure is radically changed by figure rotation, and in a rotating potential significant portions of phase space are given over to chaotic orbits, quite unlike orbits in Stäckel potentials.

Modeling the Evolution of Disk Galaxies. I. The Chemodynamical Method and the Galaxy Model

1997 ◽  
Vol 476 (2) ◽  
pp. 544-559 ◽  
Author(s):  
M. Samland ◽  
G. Hensler ◽  
Ch. Theis
Keyword(s):  
Disk Galaxies ◽  
The Galaxy ◽  
Galaxy Model

scholarly journals In‐DepthChandraStudy of the AGN Feedback in Virgo Elliptical Galaxy M84

2008 ◽  
Vol 686 (2) ◽  
pp. 911-917 ◽  
Author(s):  
A. Finoguenov ◽  
M. Ruszkowski ◽  
C. Jones ◽  
M. Brüggen ◽  
A. Vikhlinin ◽  
...  
Keyword(s):  
Elliptical Galaxy

scholarly journals WISDOM project – VII. Molecular gas measurement of the supermassive black hole mass in the elliptical galaxy NGC 7052

2021 ◽  
Vol 503 (4) ◽  
pp. 5984-5996
Author(s):  
Mark D Smith ◽  
Martin Bureau ◽  
Timothy A Davis ◽  
Michele Cappellari ◽  
Lijie Liu ◽  
...  
Keyword(s):  
Black Hole ◽  
Hubble Space Telescope ◽  
Elliptical Galaxy ◽  
Continuum Emission ◽  
Molecular Gas ◽  
Supermassive Black Hole ◽  
Gas Kinematics ◽  
Long Baseline ◽  
Gas Measurement ◽  
Strong Gradient

ABSTRACT Supermassive black hole (SMBH) masses can be measured by resolving the dynamical influences of the SMBHs on tracers of the central potentials. Modern long-baseline interferometers have enabled the use of molecular gas as such a tracer. We present here Atacama Large Millimeter/submillimeter Array observations of the elliptical galaxy NGC 7052 at 0${^{\prime\prime}_{.}}$11 ($37\,$pc) resolution in the 12CO(2-1) line and $1.3\,$ mm continuum emission. This resolution is sufficient to resolve the region in which the potential is dominated by the SMBH. We forward model these observations, using a multi-Gaussian expansion of a Hubble Space Telescope F814W image and a spatially constant mass-to-light ratio to model the stellar mass distribution. We infer an SMBH mass of $2.5\pm 0.3\times 10^{9}\, \mathrm{M_\odot }$ and a stellar I-band mass-to-light ratio of $4.6\pm 0.2\, \mathrm{M_\odot /L_{\odot ,I}}$ (3σ confidence intervals). This SMBH mass is significantly larger than that derived using ionized gas kinematics, which however appears significantly more kinematically disturbed than the molecular gas. We also show that a central molecular gas deficit is likely to be the result of tidal disruption of molecular gas clouds due to the strong gradient in the central gravitational potential.

scholarly journals Symmetries and integrals of motion of a superintegrable deformed oscillator

2021 ◽  
pp. 168428
Author(s):  
Joanna Gonera ◽  
Artur Jasiński ◽  
Piotr Kosiński
Keyword(s):  
Integrals Of Motion ◽  
Deformed Oscillator
Sign in / Sign up

Export Citation Format

Share Document