Sign on
ADS Classic will be deprecated in May 2019 and retired in October 2019. Please redirect your searches to the new ADS modern form or the classic form. More info can be found on our blog.

SAO/NASA ADS Astronomy Abstract Service

· Find Similar Abstracts (with default settings below)
· Full Refereed Journal Article (PDF/Postscript)
· Full Refereed Scanned Article (GIF)
· References in the article
· Citations to the Article (11) (Citation History)
· Refereed Citations to the Article
· Reads History
· Translate This Page
General variational principle for normal modes of rotating stars
Schutz, B. F.
AA(University College, Cardiff, Wales)
Astrophysical Journal, Part 1, vol. 232, Sept. 15, 1979, p. 874-877. (ApJ Homepage)
Publication Date:
NASA/STI Keywords:
Stellar Rotation, Variable Stars, Variational Principles, Eigenvalues, Eigenvectors
Bibliographic Code:


A variational principle is constructed for the eigenfrequencies of the normal modes of perfect fluid stars which are axisymmetric, differentially rotating, but without meridional circulation. It is the first such principle to be capable of yielding the complex as well as the real eigenfrequencies. The key to the principle is the discovery of a simple way of turning a right eigenvector for a normal mode into a left one. This is based on a symmetry of the unperturbed star, that it is invariant under reflection in time and azimuth. The variational expression also gives a new approach to approximating the linear perturbation problem by one restricted to a finite-dimensional set of trial functions. In cases where it differs from the more conventional approach, the new method should be more accurate.

Printing Options

Print whole paper
Print Page(s) through

Return 600 dpi PDF to Acrobat/Browser. Different resolutions (200 or 600 dpi), formats (Postscript, PDF, etc), page sizes (US Letter, European A4, etc), and compression (gzip,compress,none) can be set through the Printing Preferences

More Article Retrieval Options

HELP for Article Retrieval

Bibtex entry for this abstract   Preferred format for this abstract (see Preferences)

Find Similar Abstracts:

Use: Authors
Keywords (in text query field)
Abstract Text
Return: Query Results Return    items starting with number
Query Form
Database: Astronomy
arXiv e-prints