Hydrodynamics of warps in the local model of astrophysical discs
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Authors
Publication Date
2022Journal Title
Monthly Notices of the Royal Astronomical Society
ISSN
0035-8711
Publisher
Oxford University Press (OUP)
Type
Article
This Version
AM
Metadata
Show full item recordCitation
Ogilvie, G. (2022). Hydrodynamics of warps in the local model of astrophysical discs. Monthly Notices of the Royal Astronomical Society https://doi.org/10.1093/mnras/stac939
Abstract
<jats:title>ABSTRACT</jats:title>
<jats:p>We show how the local approximation of astrophysical discs, which is the basis for the well-known model of the shearing box, can be used to study many aspects of the dynamics of warped discs. In the local model, inclination of the orbit of a test particle, with respect to the reference orbit, corresponds to a vertical oscillation of the particle at the orbital frequency. Warping of a disc corresponds to a locally axisymmetric corrugation of the mid-plane of the disc that oscillates vertically at the orbital frequency, while evolution of the warp corresponds to a modulation of the complex amplitude of the vertical oscillation. We derive a conservation law for this amplitude that is the local equivalent of the conservation of angular momentum and therefore governs the evolution of the warp. For length scales that are long compared to the vertical scale height of the disc, the known non-resonant and resonant regimes of warp dynamics, including the diffusive and wave-like regimes of Keplerian discs, occur in the local model in the same way as in a global view of warped discs.</jats:p>
Sponsorship
Science and Technology Facilities Council (ST/P000673/1)
STFC (ST/T00049X/1)
Identifiers
External DOI: https://doi.org/10.1093/mnras/stac939
This record's URL: https://www.repository.cam.ac.uk/handle/1810/335806
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