FORMATION OF LOPSIDED AND BAR STRUCTURES IN NON-STATIONARY GRAVITATING SYSTEMS. I- ISOTROPIC CASE

M. Sultana, M. Khalid

Abstract


This 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.

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References


J.M. Danby, Astronomical J. 70 (1965) 501.

C.C. Lin and F.H. Shu, Astrophysical J. 140

(1964) 646.

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.

(1985) 89.

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 Motion’ Nauka, Alma-Ata,

Moscow (1967).

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

(1976) 79.

J. Binney and S. Tremaine, Galactic

Dynamics, Princeton University Press,

Princeton New York (1987).


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