FORMATION OF LOPSIDED AND BAR STRUCTURES IN NON-STATIONARY GRAVITATING SYSTEMS. I- ISOTROPIC CASE
AbstractThis is an examination of the gravitational instability of bar-like and lopsided structures of non-stationary isotropic disk model. Non-stationary analogs of the dispersion equation of these two oscillation modes are discussed, in this paper. Growth rates of both oscillation modes are found with the help of non-stationary dispersion equation. Results are presented in the form of graphs which show dependence of initial virial ratio on rotation parameter . A comparative analysis of the growth rates of both oscillation modes is made and found that lopsided structures overall dominates the bar-like structures.
J.M. Danby, Astronomical J. 70 (1965) 501.
C.C. Lin and F.H. Shu, Astrophysical J. 140
A.J. Kalnajs, Astrophysical J. 175 (1972) 63.
S.N. Nuritdinov, K.T. Mirtadjieva and M.
Sultana, Astrophysics J. 51 (2008) 410.
S.N. Nuritdinov, Astron. Zh. 68 (1991) 763.
V.A. Antonov and S.N. Nuritdinov, Astron.
Zh. 58 (1981)1158.
S.N. Nuritdinov, Stability Pis'ma Astron. Zh.
M. Sulatan, Origin Theory of Ring-like Selfgravitating Structures: Development on the
Basis of Observational Data and
Mathematical Modeling. Ph.D. Dissertation,
University of Karachi, Pakistan (2012).
S.N. Nuritdinov, K.T. Mirtadijieva, M. Sultana
and M. Khalid, Experimental & Theoretical
Physics J. 3 (2008) 201.
I.G. Malkin, The Theory of Stability of
Oscillation Motionâ€™ Nauka, Alma-Ata,
M. Khalid, Mathematical Modeling of
Lopsided Structures in Self-gravitating
System, Ph.D. Dissertation, Federal Urdu
University, Karachi, Pakistan (2013).
V.A. Antonov, Uchen, Zapiski, LGU 32
J. Binney and S. Tremaine, Galactic
Dynamics, Princeton University Press,
Princeton New York (1987).