Wave-activity conservation laws for the three-dimensional anelastic and Boussinesq equations with a horizontally homogeneous background flow

Wave-activity conservation laws are key to understanding wave propagation in inhomogeneous environments. Their most general formulation follows from the Hamiltonian structure of geophysical fluid dynamics. For large-scale atmospheric dynamics, the Eliassen–Palm wave activity is a well-known example and is central to theoretical analysis. On the mesoscale, while such conservation laws have been worked out in two dimensions, their application to a horizontally homogeneous background flow in three dimensions fails because of a degeneracy created by the absence of a background potential vorticity gradient. Earlier three-dimensional results based on linear WKB theory considered only Doppler-shifted gravity waves, not waves in a stratified shear flow. Consideration of a background flow depending only on altitude is motivated by the parameterization of subgrid-scales in climate models where there is an imposed separation of horizontal length and time scales, but vertical coupling within each column. Here we show how this degeneracy can be overcome and wave-activity conservation laws derived for three-dimensional disturbances to a horizontally homogeneous background flow. Explicit expressions for pseudoenergy and pseudomomentum in the anelastic and Boussinesq models are derived, and it is shown how the previously derived relations for the two-dimensional problem can be treated as a limiting case of the three-dimensional problem. The results also generalize earlier three-dimensional results in that there is no slowly varying WKB-type requirement on the background flow, and the results are extendable to finite amplitude. The relationship A E =cA P between pseudoenergy A E and pseudomomentum A P, where c is the horizontal phase speed in the direction of symmetry associated with A P, has important applications to gravity-wave parameterization and provides a generalized statement of the first Eliassen–Palm theorem.

On the periodic orbits and the integrability of the regularized Hill lunar problem

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

CLOSED SPACES IN COSMOLOGY

This paper deals with two aspects of relativistic cosmologies with closed spatial sections. These spacetimes are based on the theory of general relativity, and admit a foliation into space sections S(t), which are spacelike hypersurfaces satisfying the postulate of the closure of space: each S(t) is a three-dimensional closed Riemannian manifold. The topics discussed are: (i) a comparison, previously obtained, between Thurston geometries and Bianchi-Kantowski-Sachs metrics for such three-manifolds is here clarified and developed; and (ii) the implications of global inhomogeneity for locally homogeneous three-spaces of constant curvature are analyzed from an observational viewpoint.

Quantum propagator for some classes of three-dimensional three-body systems

In this work we solve exactly a class of three-body propagators for the most general quadratic interactions in the coordinates, for arbitrary masses and couplings. This is done both for the constant as the time-dependent couplings and masses, by using the Feynman path integral formalism. Finally, the energy spectrum and the eigenfunctions are recovered from the propagators. © 2005 Elsevier Inc. All rights reserved.

Irregular satellites of Jupiter: Three-dimensional study of binary-asteroid captures

Among the hidden pieces of the giant puzzle, which is our Solar system, the origins of irregularsatellites of the giant planets stand to be explained, while the origins of regular satellites arewell explained by the in situ formation model through matter accretion. Once they are notlocally formed, the most acceptable theory predicts that they had been formed elsewhere andbecame captured later, most likely during the last stage of planet formation. However, underthe restricted three-body problem theory, captures are temporary and there is still no assistedcapture mechanism which is well established. In a previous work, we showed that the capturemechanism of a binary asteroid under the co-planar four-body scenario yielded permanentcaptured objects with an orbital shape which is very similar to those of the actual progradeirregular Jovian satellites. By extending our previous study to a 3D case, here we demonstratethat the capture mechanism of a binary asteroid can produce permanent captures of objects byitself which have very similar orbits to irregular Jovian satellites. Some of the captured objectswithout aid of gas drag or other mechanisms present a triplet: semi-major axis, eccentricityand inclination, which is comparable to the already known irregular Jovian objects. © 2013 The Authors Published by Oxford University Press on behalf of the Royal Astronomical Society.

Contact parameters in two dimensions for general three-body systems

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Edge Detection by Adaptive Splitting II. The Three-Dimensional Case

In Llanas and Lantarón, J. Sci. Comput. 46, 485–518 (2011) we proposed an algorithm (EDAS-d) to approximate the jump discontinuity set of functions defined on subsets of ℝ d . This procedure is based on adaptive splitting of the domain of the function guided by the value of an average integral. The above study was limited to the 1D and 2D versions of the algorithm. In this paper we address the three-dimensional problem. We prove an integral inequality (in the case d=3) which constitutes the basis of EDAS-3. We have performed detailed computational experiments demonstrating effective edge detection in 3D function models with different interface topologies. EDAS-1 and EDAS-2 appealing properties are extensible to the 3D case

Three particle effects in the pair distribution function for He [superscript 4] gas,

"Supported in part by the Atomic Energy Commission."

Auditoria à qualidade do ar interior de um edifício de serviços - RSECE QAI

O objectivo principal deste trabalho é a realização de uma auditoria, à qualidade do ar interior (QAI), a um edifício de serviços – COCIGA, SA, tendo como base o Regulamento dos Sistemas Energéticos de Climatização dos Edifícios (RSECE). A auditoria QAI implica a medição de vários parâmetros físicos, químicos, microbiológicos e também a inspecção aos componentes do sistema de climatização com a finalidade de averiguar o seu estado de limpeza e manutenção. Assim, foram seleccionados 3 espaços, para a realização de amostragens designados por Comercial - Produtos, AVAC e Mezaninne das oficinas, nos quais foi efectuada a medição de diversos parâmetros, de acordo com as imposições do RSECE, utilizando medidores portáteis ou recorrendo a métodos analíticos. Relativamente aos parâmetros físicos, registaram-se valores de temperatura, para os três espaços estudados, entre os 21 e os 24 ºC e valores médios de humidade relativa de cerca de 50 %. Outro parâmetro medido, e de grande importância para garantir o conforto dos ocupantes, foi a velocidade do ar nos postos de trabalho. De acordo com o RSECE este valor não deve ser superior a 0,2 m/s, o que se verificou em todos os pontos medidos. O último parâmetro físico medido foi a concentração de partículas (PM10) tendo-se obtido valores de cerca de 23 μg/m3ar, valor bastante inferior ao máximo permitido pelo RSECE (150 μg/m3ar). Também no que diz respeito aos parâmetros químicos, ou seja, CO2, CO, formaldeído e ozono, não se verificaram valores superiores aos regulamentares. No caso do CO2, o valor máximo encontrado, nestes três espaços, foi de 745 ppm na Mezaninne das Oficinas e para o CO, na zona AVAC com uma concentração de 0,73 ppm. A medição do formaldeído registou valores perto dos 45 μg/m3ar e o ozono apenas foi detectado, em concentração muito reduzida, na zona Comercial – Produtos. Por fim, as concentrações de bactérias e fungos, de acordo com o RSECE, não devem ultrapassar as 500 UFC/m3ar (parâmetros microbiológicos). Em qualquer dos espaços, os valores medidos foram inferiores ao máximo legal, não ultrapassando as 50 UFC/m3ar. Da avaliação do projecto AVAC, e através da medição dos caudais de insuflação/ extracção em cada zona, concluiu-se que os seus valores não estão de acordo com os valores do projecto inicial que poderá ser imputada a uma insuficiência no funcionamento do sistema detectada na altura das medições. No que diz respeito ao estado de limpeza do sistema AVAC, apenas foi possível inspeccionar as unidades de tratamento de ar, tendo-se constatado que se encontram em boas condições. Ou seja, do ponto de vista do RSECE, e referindo-nos apenas à vertente da Qualidade do Ar Interior, o edifício em causa, cumpre todos os limites impostos para as concentrações de poluentes mas, apresenta algumas deficiências no que respeita aos caudais de ar novo insuflados em cada espaço.

Symmetric planar central configurations of five bodies: Euler plus two

We study planar central configurations of the five-body problem where three of the bodies are collinear, forming an Euler central configuration of the three-body problem, and the two other bodies together with the collinear configuration are in the same plane. The problem considered here assumes certain symmetries. From the three bodies in the collinear configuration, the two bodies at the extremities have equal masses and the third one is at the middle point between the two. The fourth and fifth bodies are placed in a symmetric way: either with respect to the line containing the three bodies, or with respect to the middle body in the collinear configuration, or with respect to the perpendicular bisector of the segment containing the three bodies. The possible stacked five-body central configurations satisfying these types of symmetries are: a rhombus with four masses at the vertices and a fifth mass in the center, and a trapezoid with four masses at the vertices and a fifth mass at the midpoint of one of the parallel sides.

Induction practices : experiences of newly qualified teachers

The thesis consists of four studies (articles I–IV) and a comprehensive summary. The aim is to deepen understanding and knowledge of newly qualified teachers’ experiences of their induction practices. The research interest thus reflects the ambition to strengthen the research-based platform for support measures. The aim can be specified in the following four sub-areas: to scrutinise NQTs’ experiences of the profession in the transition from education to work (study I), to describe and analyse NQTs’ experiences of their first encounters with school and classroom (study II), to explore NQTs’ experiences of their relationships within the school community (study III), to view NQTs’ experiences of support through peer-group mentoring as part of the wider aim of collaboration and assessment (study IV). The overall theoretical perspective constitutes teachers’ professional development. Induction forms an essential part of this continuum and can primarily be seen as a socialisation process into the profession and the social working environment of schools, as a unique phase of teachers’ development contributing to certain experiences, and as a formal programme designed to support new teachers. These lines of research are initiated in the separate studies (I–IV) and deepened in the theoretical part of the comprehensive summary. In order to appropriately understand induction as a specific practice the lines of research are in the end united and discussed with help of practice theory. More precisely the theory of practice architectures, including semantic space, physical space-time and social space, are used. The methodological approach to integrating the four studies is above all represented by abduction and meta-synthesis. Data has been collected through a questionnaire survey, with mainly open-ended questions, and altogether ten focus group meetings with newly qualified primary school teachers in 2007–2008. The teachers (n=88 in questionnaire, n=17 in focus groups), had between one and three years of teaching experience. Qualitative content analysis and narrative analysis were used when analysing the data. What is then the collected picture of induction or the first years in the profession if scrutinising the results presented in the articles? Four dimensions seem especially to permeate the studies and emerge when they are put together. The first dimension, the relational ˗ emotional, captures the social nature of induction and teacher’s work and the emotional character intimately intertwined. The second dimension, the tensional ˗ mutable, illustrates the intense pace of induction, together with the diffuse and unclear character of a teacher’s job. The third dimension, the instructive ˗ developmental, depicts induction as a unique and intensive phase of learning, maturity and professional development. Finally, the fourth dimension, the reciprocal ˗ professional, stresses the importance of reciprocity and collaboration in induction, both formally and informally. The outlined four dimensions, or integration of results, describing induction from the experiences of new teachers, constitute part of a new synthesis, induction practice. This synthesis was generated from viewing the integrated results through the theoretical lens of practice architecture and the three spaces, semantic space, physical space-time and social space. In this way, a more comprehensive, refined and partially new architecture of teachers’ induction practices are presented and discussed.

NH90 helikopterin moottoreiden syklilaskennan tehostaminen ja elinkaarihallinta

Tutkimustyö liittyy NH90 Helikopterin RTM-322 moottoreiden syklivaihdettavi-en osien huollonsuunnitteluun ja sen kehittämiseen. Tavoitteena oli löytää nykyi-sen käyttösyklilaskennan tilalle säästävämpi ratkaisumalli ja saada määritettyä suihkumoottorin osakokonaisuuksille lisälentoaikaa sekä huollonsuunnitteluun järkevämmät käyttöjaksot. Tähän päästiin selvittämällä käytännön lentotoiminnan avulla uudet laskentakertoimet ja -mallit moottorin eri osien eliniän määrittämi-seksi. Konkreettisena tavoitteena oli saada koneen käyttöhistoriaan perustuen kohdeorganisaatiolle esitys, miten moottoreiden käyttösyklilaskentaa tulisi muut-taa ja tehostaa. Diplomityön aihe muodostuu kolmesta tutkimusongelmakokonaisuudesta; moot-torin käyttöhistorian tutkimisesta, moottorivalmistajan hyväksymien syklilasken-tamenetelmien tutkimisesta ja moottorin syklien säästövaikutustarkastelusta tut-kimuksen määrittämillä uusilla laskentamenetelmillä. Tutkimuksen tuloksena muodostui NH90 huollonsuunnitteluun arvio mahdollisis-ta moottorisyklisäästöistä sekä moottoreiden näkökulmasta priorisoitu lista heli-kopterien moottoreiden laitevaihtohuoltojen järjestyksestä seuraavan viiden vuo-den aikana. Syklien säästötarkastelun pohjalta suoritettiin yhden koneen osalta koko käyttöhistorian ajalta takaisinlaskentatarkastelu. Tutkimuksessa selvitettiin Ilmavoimien meneillään olevien projektien valossa moottorisyklien tarkanlasken-nan toteuttamismahdollisuudet tulevaisuudessa. Tutkimuksessa saatujen tulosten avulla vältyttäisiin tulevaisuudessa RTM-322 moottorin ennenaikaisilta laitevaih-doilta koko NH90 kaluston suhteen ja näin saataisiin aikaan merkittävän suuria säästöjä vuoteen 2020 mennessä.

Utilisation des TIC dans l’enseignement secondaire et développement des compétences des élèves en résolution de problèmes mathématiques au Burkina Faso

La présente étude intitulée « utilisation des technologies de l’information et de la communication dans l’enseignement secondaire et développement des compétences des élèves en résolution de problèmes mathématiques au Burkina Faso » est une recherche descriptive de type mixte examinant à la fois des données qualitatives et quantitatives. Elle examine les compétences en résolution de problèmes mathématiques d’élèves du Burkina Faso pour révéler d’éventuelles relations entre celles-ci et l’utilisation des TIC par les élèves ou leur enseignant de mathématiques. L’intérêt de cette recherche est de fournir des informations aussi bien sur la réalité des TIC dans l’enseignement secondaire au Burkina que sur les effets de leur présence dans l’enseignement et l’apprentissage des mathématiques. Les éléments théoriques ayant servi à l’analyse des données sont présentés suivant trois directions : la résolution des problèmes, le développement des compétences, et les relations entre les TIC, le développement de compétences et la résolution de problèmes. Du croisement de ces éléments émergent trois axes pour le développement de la réponse apportée à la préoccupation de l’étude : 1) décrire l’utilisation de l’ordinateur par les élèves du Burkina Faso pour améliorer leur apprentissage des mathématiques ; 2) identifier des rapports éventuels entre l’utilisation de l’ordinateur par les élèves et leurs compétences en résolution de problèmes mathématiques ; 3) identifier des rapports entre les compétences TIC de l’enseignant de mathématiques et les compétences de ses élèves en résolution de problèmes. Les processus de la résolution de problèmes sont présentés selon l’approche gestaltiste qui les fait passer par une illumination et selon l’approche de la théorie de la communication qui les lie au type de problème. La résolution de problèmes mathématiques passe par des étapes caractéristiques qui déterminent la compétence du sujet. Le concept de compétence est présenté selon l’approche de Le Boterf. Les données révèlent que les élèves du Burkina Faso utilisent l’ordinateur selon une logique transmissive en le considérant comme un répétiteur suppléant de l’enseignant. Par la suite, il n’y a pas de différence significative dans les compétences en résolution de problèmes mathématiques entre les élèves utilisant l’ordinateur et ceux qui ne l’utilisent pas. De même, l’étude révèle que les enseignants présentant des compétences TIC n’ont pas des élèves plus compétents en résolution de problèmes mathématiques que ceux de leurs collègues qui n’ont pas de compétences TIC.

Una lectura de Baldomera (Del Fabulador)

El autor realiza un análisis sociológico de la novela de Pareja, amparado en los criterios del crítico Lucien Goldmann. Las categorías narratológicas que sirven de pauta son: el narrador, el espacio, el tiempo y los personajes. Se detiene en el análisis de los tres espacios que Pareja proyecta en la novela: campo, ciudad (ámbito identificado con la pobreza, el robo y el abuso de las autoridades) y mundo exterior (apenas referencial, pero gravitante en los inicios de modernización del país). Revisa los personajes y la estructura mental del autor. Concluye que el texto plantea una concepción diferente del arte de novelar, a tono con la vanguardia europea, a pesar de que muestra una realidad social que no cambia (Baldomera nació pobre, se desplaza entre el burdel, la cantina, el hospital y, finalmente, la cárcel). El texto se aleja del simple documento testimonial gracias al diseño del personaje: pese a su descomunal físico ya que personifica la desgracia, Baldomera expresa, al mismo tiempo, los valores de fidelidad, amor maternal y solidaridad.

Modelling the secular evolution of migrating planet pairs

The subject of this paper is the secular behaviour of a pair of planets evolving under dissipative forces. In particular, we investigate the case when dissipative forces affect the planetary semimajor axes and the planets move inwards/outwards the central star, in a process known as planet migration. To perform this investigation, we introduce fundamental concepts of conservative and dissipative dynamics of the three-body problem. Based on these concepts, we develop a qualitative model of the secular evolution of the migrating planetary pair. Our approach is based on the analysis of the energy and the orbital angular momentum exchange between the two-planet system and an external medium; thus no specific kind of dissipative forces is invoked. We show that, under the assumption that dissipation is weak and slow, the evolutionary routes of the migrating planets are traced by the Mode I and Mode II stationary solutions of the conservative secular problem. The ultimate convergence and the evolution of the system along one of these secular modes of motion are determined uniquely by the condition that the dissipation rate is sufficiently smaller than the proper secular frequency of the system. We show that it is possible to reassemble the starting configurations and the migration history of the systems on the basis of their final states and consequently to constrain the parameters of the physical processes involved.