Astronomy and Astrophysics – Astronomy
Scientific paper
Mar 1993
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993mnras.261..311d&link_type=abstract
Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 261, no. 2, p. 311-336.
Astronomy and Astrophysics
Astronomy
64
Astronomical Models, Celestial Mechanics, Elliptical Galaxies, Galactic Structure, Stellar Orbits, Distribution Functions, Integrals, Perturbation Theory
Scientific paper
Self-consistent phase-space distribution functions (DFs) dependent on three integrals for motion are constructed and used to investigate possible intrinsic and observable kinematics of oblate elliptical galaxies. Normalized orbit shape invariants are devised using two classical integrals and an approximative third integral obtained by Hamiltonian perturbation theory. Several independent ways in which oblate galaxies may be flattened are found, and it is concluded that there is great freedom in the possible intrinsic and observable kinematics of oblate stellar systems, probably greater than observed in elliptical galaxies. The influence of the third integral manifests itself in the slope of the velocity dispersion curve and in the ratio of the minor-to-major axis dispersions. Some DFs leave characteristic signatures in the line-of-sight velocity profiles observable on the projected minor and major axes.
Dehnen Walter
Gerhard Ortwin E.
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