Statistics – Applications
Scientific paper
Jul 1988
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988mnras.233..337l&link_type=abstract
Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 233, July 15, 1988, p. 337-365.
Statistics
Applications
46
Astronomical Models, Galactic Structure, Self Consistent Fields, Stellar Systems, Barred Galaxies, Hamiltonian Functions, Jeans Theory, Oscillations, Perturbation Theory
Scientific paper
Observational and theoretical arguments suggest that some galaxies may be in periodically time-dependent dynamical states. For example, if the bar and bulge components of barred galaxies are indeed triaxial as inferred from photometry, and if they rotate through each other, then they cannot do so as rigidly rotating stellar systems. This paper develops the framework for studying such systems via Jeans' theorem in extended phase-space and methods analogous to those used for stationary models of galaxies. As an illustration the authors construct a self-consistent distribution function for a non-linear spherical mode of the isochrone sphere. The results show that, in principle, non-linear periodically time-dependent solutions of the combined Poisson and collisionless Boltzmann equations are possible, and indicate that further work along these lines, particularly in view of applications to barred galaxies, might be fruitful.
Gerhard Ortwin E.
Louis Peter D.
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