Stress concentration factors have been examined in a functionally graded material (FGM) plate with central holes in different shapes in this essay. The material properties change along the thickness of plate. ABAQUS software has been utilized for modeling of problem in which subroutine of ABAQUS sub-program was used for modeling of the targeted material. The considering shapes for hole in plate...

The astrophysical origin of gravitational wave (GW) transients is a timely open question in the wake discoveries by LIGO/Virgo. In active galactic nuclei (AGNs), binaries form and evolve efficiently interaction with dense population stars gaseous AGN disk. Previous studies have shown that stellar-mass black hole (BH) mergers such environments can explain merger rate number suspected hierarchica...

We study the effects of an external magnetic field, which is assumed to be uniform at infinity, on the marginally stable circular motion of charged particles in the equatorial plane of a rotating black hole. We show that the magnetic field has its greatest effect in enlarging the region of stability towards the event horizon of the black hole. Using the Hamilton-Jacobi formalism we obtain the b...

The nucleus of M31 may be a thick eccentric disk, composed of stars traveling on nearly Keplerian orbits around a black hole or other dark compact object. This hypothesis reproduces most of the features seen in HST photometry of the center of M31; in particular the bright o center source P1 is the apoapsis of the disk. An eccentric disk can also explain the rotation curve and asymmetric dispers...

The Coherent WaveBurst (cWB) search algorithm identifies generic gravitational wave (GW) signals in the LIGO-Virgo strain data. We propose a machine learning (ML) method to optimize pipeline sensitivity special class of GW known as binary black hole (BBH) mergers. Here, we test ML-enhanced cWB on data from first and second observing runs Advanced LIGO successfully recover all BBH events previou...

Building upon recent work, we present an improved effective-one-body (EOB) model for spin-aligned, coalescing, black hole binaries with generic orbital configurations, i.e. quasi-circular, eccentric or hyperbolic orbits. The relies on the idea of incorporating general Newtonian prefactors, instead usual quasi-circular ones, in both radiation reaction and waveform. major advance respect to previ...

To date, studies of $\textit{Laplace Surface}$ dynamics have concerned themselves with test particle orbits fixed shape and orientation in the combined field an oblate central body (to which is bound) a distant, inclined, companion captured to quadrupolar order. While amply sufficient for satellites around planets on near-circular orbits, approximation fails capture essential dynamical features...