The effect of a massive gravitating halo on the rotation of an ellipsoidal bar in disk galaxies is studied. The method is based on calculating the moment of forces between a bar and a halo using a function of their mutual gravitational energy. Two models are examined to test the new method: a simple variant with uniform components and a more complex variant in which the halo is represented by a layered-heterogeneous ellipsoid with a parabolic density law. For both models expressions are obtained for the mutual gravitational energy of the bar and the halo, the Lagrangian is constructed, and differential equations for the nonlinear rotational oscillations of the bar are derived. These equations describe the rotation of a bar with a variable angular velocity. The frequencies and periods of the librations of the angular velocity of the bar are found both in the general nonlinear case and in the approximation of harmonic oscillations. It is found that taking the inhomogeneity of the halo into account can significantly (by roughly a factor of 2) increase the period of these oscillations.
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Translated from Astrofizika, Vol. 65, No. 3, pp. 357-370 (August 2022)
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Kondratyev, B.P., Kireeva, E.N., Kornoukhov, V.S. et al. Halo Effect on Bar Rotation in Galaxies. Astrophysics 65, 345–360 (2022). https://doi.org/10.1007/s10511-022-09745-z
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DOI: https://doi.org/10.1007/s10511-022-09745-z