Mathematics – Logic
Scientific paper
Dec 2007
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007aas...211.6905t&link_type=abstract
American Astronomical Society, AAS Meeting #211, #69.05; Bulletin of the American Astronomical Society, Vol. 39, p.859
Mathematics
Logic
Scientific paper
Pattern speeds (Ωp) are a fundamental unknown of spiral galaxy dynamics tied to the equilibrium structure of galaxy disks and the internal interactions
between galaxy components. Two approaches were used to estimate Ωp in three ringed barred spiral galaxies: NGC 1433 [(R1')SB(r)ab], NGC 2523 [SB(r)b], and NGC 4245 [SB(r)0/a]. The goals were to compare different ways of estimating Ωp, evaluate the dark halo contributions to the bar regions, and directly evaluate the resonance idea of rings. The Tremaine-Weinberg method (TWM) was used to determine Ωp of NGC 2523 and NGC 4245 and gave 6.6±1.6 km/s/arcsec and 4.7±1.9 km/s/arcsec, respectively. The ratio of corotation to bar radius (R) is 1.4±0.3 for NGC 2523 and 1.1±0.5 for NGC 4245. In each case, the inner ring is a feature slightly inside corotation. Both galaxies were also modeled through sticky-particle simulations. The models giving the best morphological matches have Ωp of 6.2+0.5-0.5 km/s/arcsec for NGC 2523 and 2.7+0.3-0.2 km/s/arcsec for NGC 4245. R is then 1.4±0.1 and 1.5±0.1 for NGC 2523 and NGC 4245, respectively. These values match those found independently through the TWM, within the errors, suggesting that simulation modeling will provide accurate Ωp estimates where the TWM is not applicable, thereby opening the door to large-scale Ωp surveys in future studies. Numerical simulations were also made for NGC 1433, providing an interpretation of its several rings and unique secondary spiral arcs ("plumes"). This work was supported by NSF grants AST-0205143 and AST-0507140 to the University of Alabama and by the Academy of Finland during two summer visits to the University of Oulu in 2002 and 2003. I am especially grateful to H. Salo for use of his simulation code, and to H. Salo, P. Rautiainen, E. Laurikainen, and R. Buta for their collaborations on this study.
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