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On a matrix method for the study of small perturbations in galaxies

2001/09/07 by P. O. Vandervoort, Peter O. Vandervoort
Mathematics · Physics and Astronomy · #Astrophysics and Star Formation Studies #Basis (linear algebra) #Classical mechanics #Galaxies: Formation, Evolution, Phenomena #Geometry #Mathematical analysis #Mathematics #Matrix (chemical analysis) #Mechanics #Perturbation (astronomy) #Physics #Quantum mechanics #Rotational symmetry #Stellar, planetary, and galactic studies #astro-ph

paper · pdf · doi:10.1111/j.1365-2966.2004.07361.x

published as Mon.Not.Roy.Astron.Soc. 348 (2004) 482 · 30 pages, 11 figures, submitted to the Monthly Notices of the Royal Astronomical Society

arxiv created 2001/09/07 · openalex publication_date 2004/02/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

A matrix method is formulated in a Lagrangian representation for the solution of the characteristic value problem governing modes of oscillation and instability in a collisionless stellar system. The underlying perturbation equations govern the Lagrangian

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