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Self-consistent dynamical models with a finite extent : II. Radially truncated models

Maarten Baes (UGent)
(2023) MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY. 519(4). p.6065-6076
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Abstract
Galaxies, dark matter haloes, and star clusters have a finite extent, yet most simple dynamical models have an infinite extent. The default method to generate dynamical models with a finite extent is to apply an energy truncation to the distribution function, but this approach is not suited to construct models with a preset density profile and it imposes unphysical constraints on the orbit population. We investigate whether it is possible to construct simple dynamical models for spherical systems with a preset density profile with a finite extent, and ideally with a different range of orbital structures. We systematically investigate the consistency of radially truncated dynamical models, and demonstrate that no spherical models with a discontinuous density truncation can be supported by an ergodic orbital structure. On the other hand, we argue that many radially truncated models can be supported by a tangential Osipkov-Merritt orbital structure that becomes completely tangential at the truncation radius. We formulate a consistency hypothesis for radially truncated models with such an orbital structure, and test it using an analytical example and the numerical exploration of a large model parameter space using the SpheCow code. We physically interpret our results in terms of the occupancy of bound orbits, and we discuss possible extensions of the tangential Osipkov-Merritt orbital structure that can support radially truncated models.
Keywords
galaxies: kinematics and dynamics

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MLA
Baes, Maarten. “Self-Consistent Dynamical Models with a Finite Extent : II. Radially Truncated Models.” MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY, vol. 519, no. 4, Oxford University Press (OUP), 2023, pp. 6065–76, doi:10.1093/mnras/stad117.
APA
Baes, M. (2023). Self-consistent dynamical models with a finite extent : II. Radially truncated models. MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY, 519(4), 6065–6076. https://doi.org/10.1093/mnras/stad117
Chicago author-date
Baes, Maarten. 2023. “Self-Consistent Dynamical Models with a Finite Extent : II. Radially Truncated Models.” MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY 519 (4): 6065–76. https://doi.org/10.1093/mnras/stad117.
Chicago author-date (all authors)
Baes, Maarten. 2023. “Self-Consistent Dynamical Models with a Finite Extent : II. Radially Truncated Models.” MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY 519 (4): 6065–6076. doi:10.1093/mnras/stad117.
Vancouver
1.
Baes M. Self-consistent dynamical models with a finite extent : II. Radially truncated models. MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY. 2023;519(4):6065–76.
IEEE
[1]
M. Baes, “Self-consistent dynamical models with a finite extent : II. Radially truncated models,” MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY, vol. 519, no. 4, pp. 6065–6076, 2023.
@article{01GQJA532395EK7XFG8PZCNDYP,
  abstract     = {{Galaxies, dark matter haloes, and star clusters have a finite extent, yet most simple dynamical models have an infinite extent. The default method to generate dynamical models with a finite extent is to apply an energy truncation to the distribution function, but this approach is not suited to construct models with a preset density profile and it imposes unphysical constraints on the orbit population. We investigate whether it is possible to construct simple dynamical models for spherical systems with a preset density profile with a finite extent, and ideally with a different range of orbital structures. We systematically investigate the consistency of radially truncated dynamical models, and demonstrate that no spherical models with a discontinuous density truncation can be supported by an ergodic orbital structure. On the other hand, we argue that many radially truncated models can be supported by a tangential Osipkov-Merritt orbital structure that becomes completely tangential at the truncation radius. We formulate a consistency hypothesis for radially truncated models with such an orbital structure, and test it using an analytical example and the numerical exploration of a large model parameter space using the SpheCow code. We physically interpret our results in terms of the occupancy of bound orbits, and we discuss possible extensions of the tangential Osipkov-Merritt orbital structure that can support radially truncated models.}},
  author       = {{Baes, Maarten}},
  issn         = {{0035-8711}},
  journal      = {{MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY}},
  keywords     = {{galaxies: kinematics and dynamics}},
  language     = {{eng}},
  number       = {{4}},
  pages        = {{6065--6076}},
  publisher    = {{Oxford University Press (OUP)}},
  title        = {{Self-consistent dynamical models with a finite extent : II. Radially truncated models}},
  url          = {{http://doi.org/10.1093/mnras/stad117}},
  volume       = {{519}},
  year         = {{2023}},
}
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