Astronomy and Astrophysics – Astrophysics
Scientific paper
2004-11-17
New Astron. 10 (2005) 271-282
Astronomy and Astrophysics
Astrophysics
23 pages, 8 figures, accepted for publication in New Astronomy
Scientific paper
10.1016/j.newast.2004.11.002
The projected properties of triaxial generalization of the modified Hubble mass models are studied. These models are constructed by adding the additional radial functions, each multiplied by a low-order spherical harmonic, to the models of \citet{ct00}. The projected surface density of mass models can be calculated analytically which allows us to derive the analytic expressions of axial ratio and position angles of major axis of constant density elliptical contours at asymptotic radii. The models are more general than those studied earlier in the sense that the inclusions of additional terms in density distribution, allows one to produce varieties of the radial profile of axial ratio and position angle, in particular, their small scale variations at inner radii. Strong correlations are found to exist between the observed axial ratio evaluated at $0.25 R_{e}$ and at $4 R_{e}$ which occupy well-separated regions in the parameter space for different choices of the intrinsic axial ratios. These correlations can be exploited to predict the intrinsic shape of the mass model, independent of the viewing angles. Using Bayesian statistics, the result of a test case launched for an estimation of the shape of a model galaxy is found to be satisfactory.
Ann Hong Bae
Das Mousumi
Thakur Parijat
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