On the basis of a recently proposed strategy of finite element integration in time domain for partial differential equations with a singular source term, we present a fourth order algorithm for non-rotating black hole perturbations in the Regge-Wheeler gauge. Herein, we address even perturbations induced by a particle plunging in. The forward time value at the upper node of the (r, t) grid cell...

We consider particles with low free or proper eccentricity that are orbiting near planets on eccentric orbits. Via collisionless particle integration we numerically find the location of the boundary of the chaotic zone in the planet’s corotation region. We find that the distance in semi-major axis between the planet and boundary depends on the planet mass to the 2/7 power and is independent of ...

In this paper, a semi-analytical approach for the 1 eigenproblem of circular plates with multiple circular holes is 2 presented. Natural frequencies and modes are determined by 3 employing the null-field integral formulation in conjunction 4 with degenerate kernels, tensor rotation and Fourier series. In 5 the proposed approach, all kernel functions are expanded into 6 degenerate (separable) fo...

Leak localization is essential for the safety and maintenance of storage vessels. This study proposes a novel circular acoustic emission sensor array to realize the continuous CO₂ leak localization from a circular hole on the surface of a large storage vessel in a carbon capture and storage system. Advantages of the proposed array are analyzed and compared with the common sparse arrays. Experim...

INTRODUCTION Postoperative eccentric macular hole (MH) formation is an uncommon complication after pars plana vitrectomy (PPV) with internal limiting membrane (ILM) peeling for epiretinal membrane or MH treatment. Herein, we present a case of eccentric MH formation after PPV with ILM peeling for MH. CASE DESCRIPTION A 72-year-old female patient underwent 23-gauge PPV with ILM peeling for idio...

Orbits of known extrasolar planets that are located outside the tidal circular-ization regions of their parent stars are often substantially eccentric. By contrast, planetary orbits in our Solar System are approximately circular, reflecting planet formation within a nearly axisymmetric, circumsolar disk. We propose that or-bital eccentricities may be generated by divergent orbital migration of ...

The recent discovery of a planet in an orbit with eccentricity e = 0.63± 0.08 around the Solar-type star 16 Cyg B, together with earlier discoveries of other planets in orbits of significant eccentricity, raises the question of the origin of these orbits, so unlike the nearly circular orbits of our Solar system. In this paper I consider close encounters between two planets, each initially in a ...

Orbits of known extrasolar planets that are located outside the tidal circular-ization regions of their parent stars are often substantially eccentric. By contrast, planetary orbits in our Solar System are approximately circular, reflecting planet formation within a nearly axisymmetric, circumsolar disk. We propose that the remarkable elongations of extrasolar planetary orbits are a consequence...