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II. Spiral Arms as Sheared Gravitational Instabilities
Open accessAbstract
This paper treats examples of gravitational instability in differentially rotating media. The particular cases dealt with include polytropic, stratified sheets of gas, as well as the infinite homogeneous media. Application of the results is made to the formation of spiral arms in a differentially rotating disk galaxy. Relations are derived which connect the thickness of the galactic disk, its density, and the velocity dispersion perpendicular to the galactic plane with Oort's differential rotation parameters A and B . Sections 1 and 2 discuss requirements of any theory of spiral arms. Sections 3 to 8 give a mathematical treatment of gravitational instability in a sheared rotating stratified medium. Section 9 discusses these results qualitatively and proposes a theory of spiral arm formation based on them. Section 10 gives the observational tests and consequences of the theory. Finally Section 11 gives a very brief discussion of barred spirals and points to the many problems left unsolved by the present work.
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Citations
Cited by
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Linear and non-linear evolution of the vertical shear instability in accretion discs
Nelson, R. P., Gressel, O., & Umurhan, O. M. (2013) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/stt1475 · Cited by 444
What controls star formation in the central 500 pc of the Galaxy?
Kruijssen, J. M. D., Longmore, S. N., Elmegreen, B. G., Murray, N., Bally, J., Testi, L., & Kennicutt, R. C. (2014) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/stu494 · Cited by 288
Bland-Hawthorn, J., Sharma, S., Tepper-Garcia, T., Binney, J., Freeman, K. C., Hayden, M. R., Kos, J., De Silva, G. M., Ellis, S., Lewis, G. F., et al. (2019) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/stz217 · Cited by 224
Metadata
- Authors
- Goldreich, P., & Lynden-Bell, D.
- Venue
- Monthly Notices of the Royal Astronomical Society
- Publisher
- Oxford University Press (OUP)
- Published
- 1965-08-01
- Volume
- 130
- Issue
- 2
- Pages
- 125-158
- ISSN
- 0035-8711 (ISSN-L)
- 1365-2966
- OpenAlex
- W1985873501
- Cited by
- 945
- References
- 0
- FWCI
- 2.17
- Type
- journal article
- Language
- en
- Open access
- bronze
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- Goldreich, P., & Lynden-Bell, D. (1965). II. Spiral Arms as Sheared Gravitational Instabilities. Monthly Notices of the Royal Astronomical Society. https://doi.org/10.1093/mnras/130.2.125
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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