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S. A. Gasanov

Publications and source records attributed to S. A. Gasanov.

3 recordsLinked to original sources

Three New Models of Layered Inhomogeneous Elliptical Galaxies

To solve some problems of celestial mechanics and astrophysics, three new models of an elliptical galaxy (EG) have been created, which are in good agreement with modern understanding of the structure of such galaxies. Based on these models, the total gravitational (potential) energy and rotational kinetic energy of an EG, as well as the velocity dispersion at a distance of its effective radius, are determined. A new method is proposed for determining the average values of the scale radius of an EG and the density at its center, as well as the average value of its key parameter density $β$ and its value at a distance corresponding to the effective radius of the galaxy. The results obtained are applied to sixty EGs and presented in the form of tables for ten galaxies.

astro-ph.GA↗

Motion of Stars in Layered Inhomogeneous Elliptical Galaxies

The problem of the spatial motion of a passively gravitating body (PGB) in the gravitational field of a layered inhomogeneous elliptical galaxy (LIEG) is considered on the basis of the previously developed model. It is assumed that a LIEG consists of baryonic mass (BM) and dark matter (DM), which have different laws of density distribution. A star or the center of mass of a globular cluster is taken as the PGB, the motion of which considers the BM and DM attraction. To obtain accurate results, the BM and DM attraction potentials are not expanded in a series, but their exact expressions are taken. An analogue of the Jacobi integral is found, the region of the possible motion of the PGB is determined, and the zero-velocity surfaces are constructed. The stationary solutions (libration points) are found to be stable in the sense of Lyapunov. The results are applied to the elliptical galaxies NGC 4472 (M 49), NGC 4697, and NGC 4374 (M 84).

astro-ph.GA↗

Elliptical motions of stars in close binary systems

Motions of stars in close binary systems with a conservative mass exchange are examined. It is shown that Paczynski-Huang model widely used now for obtaining the semi-major axis variation of a relative stars orbit is incorrect, because it brings about large mistakes. A new model suitable for elliptical orbits of stars is proposed. Both of reactive and attractive forces between stars and a substance of the flowing jet are taken into account. A possibility of a mass exchange at presence of accretion disk is considered

astro-ph.SR↗