We examine the eccentricity evolution of a system of two planets locked in a mean motion resonance, in which the outer planet loses energy and angular momentum. The sink of energy and angular momentum could be either a gas or planetesimal disk. We show that the eccentricity of both planetary bodies can grow to large values, particularly if the inner body does not directly exchange energy or ang...

The eccentricity of a node in a graph is defined as the length of a longest shortest path starting at that node. The eccentricity distribution over all nodes is a relevant descriptive property of the graph, and its extreme values allow the derivation of measures such as the radius, diameter, center and periphery of the graph. This paper describes two new methods for computing the eccentricity d...

In an interval graph G = (V,E) the distance between two vertices u, v is de£ned as the smallest number of edges in a path joining u and v. The eccentricity of a vertex v is the maximum among distances from all other vertices of V . The diameter (δ) and radius (ρ) of the graph G is respectively the maximum and minimum among all the eccentricities of G. The center of the graph G is the set C(G) o...

ABSTRACT We investigate the pebble isolation mass (PIM) for a planet on fixed eccentric orbit in its protoplanetary disc by conducting set of two-dimensional (2D) hydrodynamical simulations, including dust turbulent diffusion. A range eccentricities up to e = 0.2 is adopted. Our simulations also cover ?-turbulent viscosities, and each pair {?, e} PIM estimated as minimum our such that solids wi...

At least several percent of solar type stars possess giant planets. Surprisingly, most move on orbits of substantial eccentricity. We investigate the hypothesis that interactions between a giant planet and the disk from which it forms promote eccentricity growth. These interactions are concentrated at discrete Lindblad and corotation resonances. Interactions at principal Lindblad resonances cau...

• Introduce several new distance-based global and local functions based the smallest distance which are related to eccentricity, center, sum of eccentricities in graphs trees. The values acompared with some sharp bounds established. difference between eccentricity uniformity behaves a very similar way as itself. Motivated from study trees, we introduce on vertex leaf (called “uniformity” at tha...

The dynamics and three-dimensional (3-D) properties of the primate translational vestibuloocular reflex (trVOR) for high-frequency (4-12 Hz, +/-0.3-0.4 g) lateral motion were investigated during near-target viewing at center and eccentric targets. Horizontal response gains increased with frequency and depended on target eccentricity. The larger the horizontal and vertical target eccentricity, t...

High precision radial velocity observations of the solar-type star 16 Cygni B (HR7504, HD186427), taken at McDonald Observatory and at Lick Observatory, have each independently discovered periodic radial-velocity variations indicating the presence of a Jovian-mass companion to this star. The orbital fit to the combined McDonald and Lick data gives a period of 800.8 days, a velocity amplitude (K...

Owing to the difficulty of direct observation, mergers of intermediate-mass black hole binaries are relatively less understood compared to stellar-mass binaries; however, the gravitational waves from their last few orbits and ringdown fall in the band of ground-based detectors. Because the typical source is expected to circularize prior to entering LIGO or VIRGO’s range, inspiral searches conce...

Many extrasolar planets are observed to have eccentricities much larger than those in the solar system. Some of these planets have sibling planets, with comparable masses, orbiting around the same host stars. In these multiple planetary systems, eccentricity is modulated by the planets’ mutual secular interaction as a consequence of angular momentum exchange between them. For mature planets, th...