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  Perturbations and Stability of Rotating Stars. 2: Properties of the eigenvectors and a variational principle

Schutz, B. F. (1980). Perturbations and Stability of Rotating Stars. 2: Properties of the eigenvectors and a variational principle. Monthly Notices of the Royal Astronomical Society, 190(1), 7-20.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-0013-0F4B-F Version Permalink: https://hdl.handle.net/11858/00-001M-0000-0013-0F4E-9
Genre: Journal Article

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MNRS190_7.pdf (Publisher version), 3MB
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Schutz, Bernard F.1, 2, Author           
Affiliations:
1Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, Golm, DE, ou_24013              
2External Organizations, Department of Applied Mathematics and Astronomy, University College, Cardiff, Wales, U.K., ou_persistent22              

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 Abstract: The paper considers properties of the normal modes of linear pulsation of perfect-fluid rotating stars, restricting it to finite-dimensional versions of the problem. It is shown that stars which have the time-azimuth reflection symmetry in their unperturbed state have the property that any right-eigenvalue can be changed into the adjoint of the left-eigenvector for the same eigenvalue; this permits a variational principle for the eigenfrequencies of all the normal modes to be formulated.

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 Dates: 1980
 Publication Status: Issued
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 Rev. Type: Peer
 Identifiers: eDoc: 335714
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Title: Monthly Notices of the Royal Astronomical Society
Source Genre: Journal
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Pages: - Volume / Issue: 190 (1) Sequence Number: - Start / End Page: 7 - 20 Identifier: ISSN: 0035-8711