A “Spring–mass” model of tethered satellite systems: properties of planar periodic motions     

Vladislav V. Sidorenko  Alessandra Celletti 《Celestial Mechanics and Dynamical Astronomy》2010,107(1-2):209-231

This paper is devoted to the dynamics in a central gravity field of two point masses connected by a massless tether (the so called “spring–mass” model of tethered satellite systems). Only the motions with straight strained tether are studied, while the case of “slack” tether is not considered. It is assumed that the distance between the point masses is substantially smaller than the distance between the system’s center of mass and the field center. This assumption allows us to treat the motion of the center of mass as an unperturbed Keplerian one, so to focus our study on attitude dynamics. A particular attention is given to the family of planar periodic motions in which the center of mass moves on an elliptic orbit, and the point masses never leave the orbital plane. If the eccentricity tends to zero, the corresponding family admits as a limit case the relative equilibrium in which the tether is elongated along the line joining the center of mass with the field center. We study the bifurcations and the stability of these planar periodic motions with respect to in-plane and out-of-plane perturbations. Our results show that the stable motions take place if the eccentricity of the orbit is sufficiently small.  相似文献   

Reply to discussion by Elter and Padovano of ‘Deformation during exhumation of medium‐ and high‐grade metamorphic rocks in the Variscan chain in northern Sardinia (Italy)’     

Rodolfo Carosi  Chiara Frassi  Chiara Montomoli 《Geological Journal》2010,45(4):483-486

  相似文献   

Assessment of the role of facies heterogeneity at the fine scale by numerical transport experiments and connectivity indicators   总被引：2，自引：1，他引：1  

Chiara Vassena  Laura Cattaneo  Mauro Giudici 《Hydrogeology Journal》2010,18(3):651-668

The heterogeneity of facies at the scale of individual lithological levels controls, at a macroscopic scale, water flow and contaminant transport in porous sediments. In particular the presence of organized features such as permeable connected levels, has a significant effect on travel times and dispersion. Here, the effects of facies heterogeneity on flow and transport are studied for three blocks, whose volume is of the order of a cubic meter, dug from alluvial sediments from the Ticino valley (Italy). Using the results of numerical tracer experiments on these domains, the longitudinal dispersion coefficient is computed with an Eulerian approach based on the fit of the breakthrough curves with the analytical solution of the convective-dispersive transport equation. Moreover, the dispersion tensor is computed with a Lagrangian approach from the second order moments of particle distributions. Three types of connectivity indicators are tested: (1) connectivity function; (2) flow, transport and statistical connectivity; (3) original (intrinsic, normal and total) indicators of facies connectivity. The connectivity function provides the most complete information. Some of the transport and statistical connectivity indicators are correlated with dispersivity. The simultaneous analysis of the three indicators of facies connectivity emphasizes the fundamental geometrical features that control transport.  相似文献   

Construction of three-phase data to model multiphase flow in porous media: Comparing an optimization approach to the finite element approach     

Raphaël di Chiara Roupert  Gerhard Schäfer  Philippe Ackerer  Michel Quintard  Guy Chavent 《Comptes Rendus Geoscience》2010,342(11):855-863

Multiphase flow modelling is a major issue in the assessment of groundwater pollution. Three-phase flows are commonly governed by mathematical models that associate a pressure equation with two saturation equations. These equations involve a number of secondary variables that reflect the fluid behaviour in a porous medium. To improve the computational efficiency of multiphase flow simulators, several simplified reformulations of three-phase flow equations have been proposed. However, they require the construction of new secondary variables adapted to the reformulated flow equations. In this article, two different approaches are compared to quantify these variables. A numerical example is given for a typical fine sand.  相似文献   

A distributed thermodynamic model for energy and mass balance computation: FEST–EWB     

Chiara Corbari  Giovanni Ravazzani  Marco Mancini 《水文研究》2011,25(9):1443-1452

  相似文献   

Highly gravity-driven flow of a NAPL in water-saturated porous media using the discontinuous Galerkin finite-element method with a generalised Godunov scheme     

Lauriane Schneider  Raphaël di Chiara Roupert  Gerhard Schäfer  Philippe Helluy 《Computational Geosciences》2015,19(4):855-876

  相似文献   

Excavation works in stiff jointed clay material: examples from the Trubi formation,southern Italy     

David Segato  Giuseppe Scarpelli  Viviene M. E. Fruzzetti  Paolo Ruggeri  Alessandro Vita  Alessandra Paternesi 《Landslides》2015,12(4):721-730

  相似文献   

Dynamical investigation of minor resonances for space debris     

Alessandra Celletti  Cătălin Galeş 《Celestial Mechanics and Dynamical Astronomy》2015,123(2):203-222

  相似文献   

The respective roles of surface temperature driven feedbacks and tropospheric adjustment to CO2 in CMIP5 transient climate simulations     

Lorenzo Tomassini  Olivier Geoffroy  Jean-Louis Dufresne  Abderrahmane Idelkadi  Chiara Cagnazzo  Karoline Block  Thorsten Mauritsen  Marco Giorgetta  Johannes Quaas 《Climate Dynamics》2013,41(11-12):3103-3126

An overview of radiative climate feedbacks and ocean heat uptake efficiency diagnosed from idealized transient climate change experiments of 14 CMIP5 models is presented. Feedbacks explain about two times more variance in transient climate response across the models than ocean heat uptake efficiency. Cloud feedbacks can clearly be identified as the main source of inter-model spread. Models with strong longwave feedbacks in the tropics feature substantial increases in cloud ice around the tropopause suggestive of changes in cloud-top heights. The lifting of the tropical tropopause goes together with a general weakening of the tropical circulation. Distinctive inter-model differences in cloud shortwave feedbacks occur in the subtropics including the equatorward flanks of the storm-tracks. Related cloud fraction changes are not confined to low clouds but comprise middle level clouds as well. A reduction in relative humidity through the lower and mid troposphere can be identified as being the main associated large-scale feature. Experiments with prescribed sea surface temperatures are analyzed in order to investigate whether the diagnosed feedbacks from the transient climate simulations contain a tropospheric adjustment component that is not conveyed through the surface temperature response. The strengths of the climate feedbacks computed from atmosphere-only experiments with prescribed increases in sea surface temperatures, but fixed CO₂ concentrations, are close to the ones derived from the transient experiment. Only the cloud shortwave feedback exhibits discernible differences which, however, can not unequivocally be attributed to tropospheric adjustment to CO₂. Although for some models a tropospheric adjustment component is present in the global mean shortwave cloud feedback, an analysis of spatial patterns does not lend support to the view that cloud feedbacks are dominated by their tropospheric adjustment part. Nevertheless, there is positive correlation between the strength of tropospheric adjustment processes and cloud feedbacks across different climate models.  相似文献   

Non-integrability of the problem of motion around an oblate planet     

Alessandra Celletti  Piero Negrini 《Celestial Mechanics and Dynamical Astronomy》1995,61(3):253-260

We provide a result of non-analytic integrability of the so-called J ₂-problem. Precisely by using the Lerman theorem we are able to prove the existence of a region of the phase space, where the dynamical system exhibits chaotic motions.  相似文献