Journal article
Efficient solution of the anisotropic spherically-aligned axisymmetric Jeans equations of stellar hydrodynamics for galactic dynamics
- Abstract:
- I present a flexible solution for the axisymmetric Jeans equations of stellar hydrodynamics under the assumption of an anisotropic (three-integral) velocity ellipsoid aligned with the spherical polar coordinate system. I describe and test a robust and efficient algorithm for its numerical computation. I outline the evaluation of the intrinsic velocity moments and the projection of all first and second velocity moments, including both the line-of-sight velocities and the proper motions. This spherically-aligned Jeans Anisotropic Modelling (JAMsph) method can describe in detail the photometry and kinematics of real galaxies. It allows for a spatially-varying anisotropy, or stellar mass-to-light ratios gradients, as well as for the inclusion of general dark matter distributions and supermassive black holes. The JAMsph method complements my previously derived cylindrically-aligned JAMcyl and spherical Jeans solutions, which I also summarize in this paper. Comparisons between results obtained with either JAMsph or JAMcyl can be used to asses the robustness of inferred dynamical quantities. As an illustration, I modelled the ATLAS3D sample of 260 early-type galaxies with high-quality integral-field spectroscopy, using both methods. I found that they provide statistically indistinguishable total-density logarithmic slopes. This may explain the previously-reported success of the JAM method in recovering density profiles of real or simulated galaxies. A reference software implementation of JAMsph is included in the publicly-available JAM software package.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Preview, Version of record, 4.5MB, Terms of use)
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- Publisher copy:
- 10.1093/mnras/staa959
Authors
- Publisher:
- Oxford University Press
- Journal:
- Monthly Notices of the Royal Astronomical Society More from this journal
- Volume:
- 494
- Issue:
- 4
- Pages:
- 4819–4837
- Publication date:
- 2020-04-09
- Acceptance date:
- 2020-04-02
- DOI:
- EISSN:
-
1365-2966
- ISSN:
-
0035-8711
- Language:
-
English
- Keywords:
- Pubs id:
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1035162
- Local pid:
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pubs:1035162
- Deposit date:
-
2020-04-15
Terms of use
- Copyright holder:
- Cappellari.
- Copyright date:
- 2020
- Rights statement:
- © 2020 The Author(s) Published by Oxford University Press on behalf of the Royal Astronomical Society
- Notes:
- This is the accepted manuscript version of the article. The final version is available from Oxford University Press at: https://doi.org/10.1093/mnras/staa959
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