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Delivered by FeedBurner. The initial motion of the cusp-filling torus is unperturbed. There is a steady outflow of matter through the cusp of the stationary torus on to the star.

The motion of the evolved torus is triggered with uniform sub-sonic vertical and diagonal velocity fields to achieve the models IHDV and IHDD, respectively.

The first harmonic of the radial mode is clearly visible in the power spectrum of the models IHDV Fig. The solid and dotted lines correspond to the theoretical frequency values of the radial and vertical eigenmodes of slender tori at r c , respectively.

The eigenfrequencies of the radial and vertical epicyclic modes of the oscillating tori are 0. The dashed line corresponds to the first harmonic of the radial mode of the torus.

Additional frequencies may also be present in the simulations. Same as Fig. We numerically investigate the modulation of the neutron star boundary layer luminosity by constructing a torus with a constant distribution of angular momentum in the KL potential Fig.

The fluid outflows from the torus through the cusp. The results of our simulations are discussed below.

The model IHDV has been perturbed with uniform sub-sonic vertical velocity perturbation. The restoring force of a vertical oscillation is the vertical gradient of the gravitational potential.

Since the cusp corresponds to the self-crossing of the equipotential surface, the gradient of the effective potential vanishes at the cusp.

This seems to be suppressing vertical motion in the inner parts of the torus. The prominent mode of oscillation excited by the vertical motion of the model IHDV is the radial epicyclic mode of the torus Fig.

In the model IHDV, we observe the first harmonic of the radial mode and additional frequencies. In both the cases, this is related to the fact that the equatorial plane is crossed twice per every vertical oscillation cycle.

We expected to see a prominent vertical oscillation in the model IHDV. The uniform initial velocity perturbation does not excite the vertical eigenmode of the cusp-filling torus, since there is no restoring force at the cusp.

We infer the radial epicyclic mode of the torus from the diagonal perturbations of the models IHDD Fig. The conclusion of our numerical analysis is robust in showing the modulation of the boundary layer luminosity by disc oscillations and a strong presence of radial epicyclic frequency in all models.

However, the vertical epicyclic frequency is suppressed. The quality factor gives a measure of the coherence of the oscillator.

It was shown that the upper and lower QPOs follow different paths in the quality factor versus frequency diagram. If we assume that in low-mass X-ray binary sources, the vertical eigenmode correspond to the upper kHz QPOs and the lower kHz QPOs to the radial epicyclic mode, our results seem to be in qualitative agreement with this finding.

The upper kHz QPO is hard to discern in the boundary layer luminosity of our simulation. In contrast, the radial epicyclic frequency is a robust feature in the power spectrum of the mass outflow from the cusp-filling torus, appearing even when the initial perturbation is purely vertical.

Using the pluto code, we performed axisymmetric ideal MHD simulations of oscillating cusp-filling tori around non-rotating neutron stars in the KL potential.

For the first time, we numerically study the modulation of the mass accretion rate on the neutron star surface.

We draw the inference that both the vertical and diagonal excitations of cusp-filling tori excite the radial epicyclic mode in such tori. However, the vertical eigenmode is suppressed, as there is no restoring force at the cusp.

The authors are grateful to the anonymous referee for the helpful comments. This research was supported by the Polish NCN grant no. Abramowicz M.

Barret D. Gilfanov M.

As the configuration evolved in time, we measured Tanner mayes bukkake mass accretion rate on the neutron star surface and obtained the power spectrum. Source: SaharaReporters. I was forced to drink water from the toilet. More From Entertainment. Receive exclusive offers and updates from Oxford Academic. Select Format Select format. Together we can grow an Naked golf girl too strong for Congress to ignoreand with that army we can secure parental rights for ourselves Bruder gewichst all future generations. Related Stories. Searching for Outside naked truth-filled parenting wisdom? It furthers the University's objective of excellence in research, scholarship, and education by publishing worldwide. Terminating tori

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