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Gravitational Landau damping for an isotropic cluster of starsThe problem of ascertaining the dynamical stability and the existence of Landau damping in static, isotropic 'collisionless' star clusters is addressed. The second-order formalism of Kandrup and Sygnet (1985) is applied to a homogeneous and isotropic plasma, demonstrating formally that the unperturbed configuration will always be stable and that the modes must be purely oscillatory. The form of these modes is explicitly examined, culminating in an analytic expression for the time evolution of the density induced by an initial perturbation. It is shown how these considerations can be adapted trivially to localized, nonradial disturbances of a self-gravitating system of stars. The possible existence of gravitational Landau damping for more generic perturbations is discussed.
Document ID
19870033171
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
External Source(s)
Authors
Habib, Salman
(Maryland Univ. College Park, MD, United States)
Kandrup, Henry E.
(Maryland, University College Park, MD, United States)
Yip, Ping F.
(Maryland, University College Park; California, University, La Jolla, United States)
Date Acquired
August 13, 2013
Publication Date
October 1, 1986
Publication Information
Publication: Astrophysical Journal, Part 1
Volume: 309
ISSN: 0004-637X
Subject Category
Astrophysics
Accession Number
87A20445
Distribution Limits
Public
Copyright
Other

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