Linear Response of Rotating and Flattened Stellar Clusters: The Oblate Kuzmin–Kutuzov Stäckel Family Article Swipe
Kerwann Tep
,
Christophe Pichon
,
Michael Petersen
·
YOU?
·
· 2025
· Open Access
·
· DOI: https://doi.org/10.3847/1538-4357/add5e5
YOU?
·
· 2025
· Open Access
·
· DOI: https://doi.org/10.3847/1538-4357/add5e5
This paper investigates the linear response of a series of spheroidal stellar clusters, the Kuzmin–Kutuzov Stäackel family, which exhibit a continuous range of flattening and rotation, extending from an isochrone sphere to a Toomre disk. The method successfully replicates the growing modes previously identified in published N -body simulations. It relies on the efficiency of the matrix method to quantify systematically the effects of rotation and flattening on the eigenmodes of the galaxy. We identify two types of bisymmetric instabilities for the flatter models—the so-called bending and bar-growing modes—the latter of which persists even for very round models. As anticipated, in its least unstable configurations, the system becomes flatter as its rotational speed increases. More realistic equilibria will be required to achieve a better match to the main sequence of fast–slow rotators. The corresponding code is made public.
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- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.3847/1538-4357/add5e5
- OA Status
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- 70
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- 10
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https://openalex.org/W4411433937Canonical identifier for this work in OpenAlex
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https://doi.org/10.3847/1538-4357/add5e5Digital Object Identifier
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Linear Response of Rotating and Flattened Stellar Clusters: The Oblate Kuzmin–Kutuzov Stäckel FamilyWork title
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articleOpenAlex work type
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enPrimary language
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2025Year of publication
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2025-06-18Full publication date if available
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Kerwann Tep, Christophe Pichon, Michael PetersenList of authors in order
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https://doi.org/10.3847/1538-4357/add5e5Publisher landing page
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YesWhether a free full text is available
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goldOpen access status per OpenAlex
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https://doi.org/10.3847/1538-4357/add5e5Direct OA link when available
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Flattening, Physics, Rotation (mathematics), Astrophysics, Bending, Range (aeronautics), Oblate spheroid, Classical mechanics, Geometry, Astronomy, Aerospace engineering, Thermodynamics, Mathematics, EngineeringTop concepts (fields/topics) attached by OpenAlex
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0Total citation count in OpenAlex
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| abstract_inverted_index.matrix | 57 |
| abstract_inverted_index.method | 37, 58 |
| abstract_inverted_index.relies | 51 |
| abstract_inverted_index.series | 9 |
| abstract_inverted_index.sphere | 31 |
| abstract_inverted_index.system | 107 |
| abstract_inverted_index.achieve | 122 |
| abstract_inverted_index.becomes | 108 |
| abstract_inverted_index.bending | 86 |
| abstract_inverted_index.effects | 63 |
| abstract_inverted_index.exhibit | 19 |
| abstract_inverted_index.family, | 17 |
| abstract_inverted_index.flatter | 83, 109 |
| abstract_inverted_index.galaxy. | 73 |
| abstract_inverted_index.growing | 41 |
| abstract_inverted_index.models. | 98 |
| abstract_inverted_index.public. | 138 |
| abstract_inverted_index.stellar | 12 |
| abstract_inverted_index.Abstract | 0 |
| abstract_inverted_index.identify | 75 |
| abstract_inverted_index.persists | 93 |
| abstract_inverted_index.quantify | 60 |
| abstract_inverted_index.required | 120 |
| abstract_inverted_index.response | 6 |
| abstract_inverted_index.rotation | 65 |
| abstract_inverted_index.sequence | 129 |
| abstract_inverted_index.unstable | 104 |
| abstract_inverted_index.Stäackel | 16 |
| abstract_inverted_index.clusters, | 13 |
| abstract_inverted_index.extending | 27 |
| abstract_inverted_index.isochrone | 30 |
| abstract_inverted_index.published | 46 |
| abstract_inverted_index.realistic | 116 |
| abstract_inverted_index.rotation, | 26 |
| abstract_inverted_index.rotators. | 132 |
| abstract_inverted_index.so-called | 85 |
| abstract_inverted_index.continuous | 21 |
| abstract_inverted_index.efficiency | 54 |
| abstract_inverted_index.eigenmodes | 70 |
| abstract_inverted_index.equilibria | 117 |
| abstract_inverted_index.flattening | 24, 67 |
| abstract_inverted_index.identified | 44 |
| abstract_inverted_index.increases. | 114 |
| abstract_inverted_index.previously | 43 |
| abstract_inverted_index.replicates | 39 |
| abstract_inverted_index.rotational | 112 |
| abstract_inverted_index.spheroidal | 11 |
| abstract_inverted_index.bar-growing | 88 |
| abstract_inverted_index.bisymmetric | 79 |
| abstract_inverted_index.fast–slow | 131 |
| abstract_inverted_index.modes—the | 89 |
| abstract_inverted_index.anticipated, | 100 |
| abstract_inverted_index.investigates | 3 |
| abstract_inverted_index.models—the | 84 |
| abstract_inverted_index.simulations. | 49 |
| abstract_inverted_index.successfully | 38 |
| abstract_inverted_index.corresponding | 134 |
| abstract_inverted_index.instabilities | 80 |
| abstract_inverted_index.systematically | 61 |
| abstract_inverted_index.configurations, | 105 |
| abstract_inverted_index.Kuzmin–Kutuzov | 15 |
| cited_by_percentile_year | |
| countries_distinct_count | 0 |
| institutions_distinct_count | 3 |
| citation_normalized_percentile.value | 0.15546241 |
| citation_normalized_percentile.is_in_top_1_percent | False |
| citation_normalized_percentile.is_in_top_10_percent | False |