The architecture of a planetary system can influence the habitability planet via orbital effects, particularly in areas stability and eccentricity. Some these effects are readily apparent, when they occur on short timescales that easily numerically calculable. However, appearance evolution life take place gigayear timescales, long enough secular become important. These difficult to investigate,...

Precise radial velocity observations of the nearby M4 dwarf Gl 876 with the Observatoire de Haute Provence 1.93 m telescope and the new 1.20 m swiss telescope at la Silla indicate the presence of a jovian mass companion to this star. The orbital fit to the data gives a period of 60.8 days, a velocity amplitude of 246m.s−1 and an eccentricity of 0.34. Assuming that Gl 876 has a mass of 0.3 M , t...

We calculate the rate at which angular momentum and energy are transferred between a disk and a satellite which orbit the same central mass. A satellite which moves on a circular orbit exerts a torque on the disk only in the immediate vicinity of its Lindblad resonances. The direction of angular momentum transport is outward, from disk material inside the satellite's orbit to the satellite and ...

Precise radial velocity observations of the nearby M4 dwarf Gl 876 with the Observatoire de Haute Provence 1.93 m telescope and the new 1.20 m swiss telescope at la Silla indicate the presence of a jovian mass companion to this star. The orbital fit to the data gives a period of 60.8 days, a velocity amplitude of 246m.s −1 and an eccentricity of 0.34. Assuming that Gl 876 has a mass of 0.3 M ⊙ ...

The star HD 69830 exhibits radial velocity variations attributed to three planets as well as infrared emission at 8 − 35μm attributed to a warm debris disk. Previous studies have developed models for the planet migration and mass growth (Alibert et al. 2005, 2006) and the replenishment of warm grains (Wyatt et al. 2007). In this paper, we perform n-body integrations in order to explore the impl...

The eccentricity transform associates to each point of a shape the geodesic distance to the point farthest away from it. The transform is defined in any dimension, for simply and non simply connected sets. It is robust to Salt & Pepper noise and is quasi-invariant to articulated motion. Discrete analytical concentric circles with constant thickness and increasing radius pave the 2D plane. An or...

A simple geometrical model with event-by-event fluctuations is suggested to study elliptical and triangular eccentricities in the initial state of relativistic heavy-ion collisions. This describes rather well ALICE ATLAS data for Pb+Pb collisions at center-of-mass energy $\sqrt{s_{NN}} = 5.02$~TeV per nucleon pair, assuming that second, $v_2$, third, $v_3$, harmonics anisotropic flow are simply...

Temporal performance parameters vary across the visual field. Their topographical distributions relative to each other and relative to basic visual performance measures and their relative change over the life span are unknown. Our goal was to characterize the topography and age-related change of temporal performance. We acquired visual field maps in 95 healthy participants (age: 10-90 years): p...

We introduce the Laplacian sum-eccentricity matrix LS_e} of a graph G, and its Laplacian sum-eccentricity energy LS_eE=sum_{i=1}^n |eta_i|, where eta_i=zeta_i-frac{2m}{n} and where zeta_1,zeta_2,ldots,zeta_n are the eigenvalues of LS_e}. Upper bounds for LS_eE are obtained. A graph is said to be twinenergetic if sum_{i=1}^n |eta_i|=sum_{i=1}^n |zeta_i|. Conditions ...