The dissertation deals with the analysis of the orbital motion of particles taking place in the close vicinity of neutron stars. It also deals with the properties of external spacetime, comparing different neutron stars models based on equations of state and systematic analysis of the properties of Keplerian and epicyclic frequencies. The Hartle-Thorne metric, whose main parameters are mass, angular momentum and quadrupole moment of a rotating neutron star, is used to describe the external spacetime of rotating neutron stars. The preferred area of interest is the investigation of the conditions determining the presence of the innermost stable circular orbit and examining various models of quasiperiodic oscillations using the available observed data.
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The dissertation is dedicated to the phenomenon of quasiperiodic oscillations (QPOs). Most of the dissertation is based on the fitting of QPO data. A part of the work is dedicated to analysing the timing properties of flux emitted from a fluid torus oscillating in the vicinity of compact objects.
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