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• W2001369959 abstract "The black hole is modelled by a combined gravitational potential of the bulge, disk and halo and is subjected to an initial weak kick. The resulting differential equations are set up, and shown to possess analytical solutions. The effects of black hole accretion and dynamical friction are also incorporated into this analytical framework. The resultant frequencies and amplitudes are computed, and are compared with the ones obtained from numerical simulations. Within the valid range of parameters of the analytical model, the two sets of results are shown to be in reasonable agreement. It is shown that this model reproduces the linear dependence of the amplitude on the initial kick velocity, and the constant of proportionality is close to that obtained from the simulations. The analytical treatment presented is quite general, and its applications to other areas are also indicated." @default.
• W2001369959 created "2016-06-24" @default.
• W2001369959 creator A5011292867 @default.
• W2001369959 date "2014-09-09" @default.
• W2001369959 modified "2023-10-16" @default.
• W2001369959 title "Analytical solutions for weak black hole kicks" @default.
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• W2001369959 doi "https://doi.org/10.1007/s10509-014-2115-4" @default.
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