Satélites com alta excentricidade e/ou alta inclinação

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

Dinâmica ressonante de alguns satélites artificiais terrestres no sistema Terra-Lua-Sol

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Dinâmica e estabilidade de satélites regulares como consequência da migração planetária

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Desenvolvimento da função perturbadora e aplicações em dinâmica de exoplanetas

Pós-graduação em Matemática Universitária - IGCE

Dinâmica de rotação de exoplanetas tipo terrestre com perturbação de terceiro corpo

In this work we study some topics of Celestial Mechanics, namely the problem of rigid body rotation and “spin-orbit” resonances. Emphasis is placed on the problem formulation and applications to some exoplanets with physical parameters (e.g. mass and radius) compatible with a terrestrial type constitution (e.g. rock) belonging to multiple planetary systems. The approach is both analytical and numerical. The analytical part consists of: i) the deduction of the equation of motion for the rotation problem of a spherical body with no symmetry, disturbed by a central body; ii) modeling the same problem by including a third-body in the planet-star system; iii) formulation of the concept of “spin-orbit” resonance in which the orbital period of the planet is an integer multiple of the rotation’s period. Topics of dynamical systems (e.g. equilibrium points, chaos, surface sections, etc.) will be included at this stage. In the numerical part simulations are performed with numerical models developed in the previous analytical section. As a first step we consider the orbit of the planet not perturbed by a third-body in the star-planet system. In this case the eccentricity and orbital semi-major axis of the planet are constants. Here the technique of surface sections, widely used in dynamical systems are applied. Next, we consider the action of a third body, developing a more realistic model for planetary rotation. The results in both cases are compared. Since the technique of disturbed surface sections is no longer applicable, we quantitatively evaluate the evolution of the characteristic angles of rotation (e.g. physical libration) by studying the evolution of individual orbits in the dynamically important regions of phase space, the latter obtained in the undisturbed case

Inserção do ensino de astronomia como componente importante para a formação continuada de professores

According to the Brazilian National Curriculum Parameters (PCN), the teaching of astronomy must provide subjects to the teaching/learning processes of basic education, acquisition of skills and competencies in order to form a critical, reflective and conscious citizen. Several surveys on teaching astronomy show that some changes need to be made in educational, aiming to provide to participants (students and teachers) of the teaching/learning real and significant conditions of knowledge aiming to astronomy. Thus, by prior construction, implementation and evaluation, of a course on astronomy, thought and implemented by the author in a public school in elementary school and high school in a town in São Paulo state, aimed to this work: know the challenges that teachers face in teaching Astronomy and identify possible contributions in formative processes of these teachers in service. So, the study revealed that teachers have many difficulties to teach the concepts of astronomy because of the deficit in their formations, both in specific and pedagogical knowledge that was the main problem pointed out by them. In view of this, it was possible to say here that the lack of specific knowledge about astronomy and pedagogical knowledge of how to teach this area are two hotspots in the dynamics of these school teachers who have the challenge of teach an area that really do not know

Sobre a dinâmica de rotação de um planeta através de um sistema médio

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Dinâmica secular rotacional de corpos tri-axiais: expansão de V em ressonâncias de primeira ordem

Consider a finite body of mass m (C1) with moments of inertia A, B and C. This body orbits another one of mass much larger M (C2), which at first will be taken as a point, even if it is not completely spherical. The body C1, when orbit C2, performs a translational motion near a Keplerian. It will not be a Keplerian due to external disturbances. We will use two axes systems: fixed in the center of mass of C1 and other inertial. The C1 attitude, that is, the dynamic rotation of this body is know if we know how to situate mobile system according to inertial axes system. The strong influence exerted by C2 on C1, which is a flattened body, generates torques on C1, what affects its dynamics of rotation. We will obtain the mathematical formulation of this problem assuming C1 as a planet and C2 as the sun. Also applies to case of satellite and planet. In the case of Mercury-Sun system, the disturbing potential that governs rotation dynamics, for theoretical studies, necessarily have to be developed by powers of the eccentricity. As is known, such expansions are delicate because of the convergence issue. Thus, we intend to make a development until the third order (superior orders are not always achievable because of the volume of terms generated in cases of first-order resonances). By defining a modern set of canonical variables (Andoyer), we will assemble a disturbed Hamiltonian problem. The Andoyer's Variables allow to define averages, which enable us to discard short-term effects. Our results for the resonant angle variation of Mercury are in full agreement with those obtained by D'Hoedt & Lemaître (2004) and Rambaux & Bois (2004)

Iniciação ao estudo da dinâmica de rotação de um satélite em variáves de Andoyer

The dynamics of the rotation of a satellite is an old and classical problem, specially in the Euler formalism. However, with these variables, even in torque free motion problem, the integrability of the system is far from trivial, mainly when the three moments of the inertia are not equal. Another disadvantage occurs when the inclinations between some plans are null or close to zero, so the nodes become undetermined. In this work, we propose the use of modern Andoyer's variables. These are a set of canonical variables and therefore some significant advantages can be obtained when dealing with perturbation methods. On other the hand, the integrability of the torque free motion becomes very clear, as the system is reduced to a problem of one degree of freedom. The elimination of the singularities mentioned above, can be solved very easily, with Pincaré-type variables. In this work we give the background concepts of the Andoyer's variables and the disturbing potential is obtained for the rotational dynamics of a satellite perturbed by a planet. In the case when A = B (moments of inertia) and due to the current variables, the averaged system is trivially obtained through very simple integrations

Dinâmica fermentativa e microbiológica de silagens dos capins tanzânia e marandu acrescidas de polpa cítrica peletizada

O experimento foi conduzido com o objetivo de avaliar a dinâmica fermentativa e microbiológica de silagens de capins tropicais acrescidas de polpa cítrica. Os capins tanzânia (Panicum maximum cv. Tanzânia) e marandu (Brachiaria brizantha (Hochst ex. A. Rich) Stapf cv. Marandu) foram colhidos aos 64 e 49 dias de rebrota, respectivamente, e ensilados com 0, 5 ou 10% de polpa cítrica peletizada (PCP), em relação à matéria verde, durante 1, 4, 7, 14, 21, 28 e 56 dias. Foram utilizados silos experimentais de PVC adaptados com válvula do tipo Bunsen para eliminação dos gases. A forragem foi compactada visando obter densidade de 550 kg/m³. O delineamento utilizado foi o inteiramente ao acaso com três repetições, em esquema de parcelas subdivididas. A inclusão de PCP aumentou os teores de MS e diminuiu o pH das silagens. A adição de PCP influenciou os teores de N-NH3 (N total), uma vez que, nas silagens sem PCP, os teores N-NH3 foram significativamente elevados, o que as caracteriza como de qualidade duvidosa. A adição de PCP aumentou a concentração molar dos ácidos acético e propiônico. A população de enterobactérias foi detectada somente no primeiro dia de fermentação nas silagens do capim-tanzânia e até o 18º dia nas do capim-marandu. Nas silagens avaliadas, a população de bactérias homofermentativas foi semelhante à das bactérias heterofermentativas.

Fatores climáticos na dinâmica populacional de Anastrepha spp. (diptera: tephritidae) e de Scymnus spp. (coleoptera: coccinellidae) em um pomar experimental de goiaba (Psidium guajava L.)

Este trabalho objetivou caracterizar a dinâmica populacional de Anastrepha spp. e de Scymnus spp. em pomar experimental semiorgânico de goiaba (Psidium guajava L.), em Pindorama-SP, na Agência Paulista de Tecnologia dos Agronegócios (APTA) e correlacioná-la com fatores meteorológicos. Para o levantamento da dinâmica populacional, os espécimes foram monitorados com armadilhas adesivas amarelas (25 cm x 9,5 cm), trocadas a cada 15 dias, no período de um ano (entre junho de 2009 e junho de 2010). Os insetos foram avaliados e quantificados no Laboratório de Seletividade Ecológica da UNESP-FCAV em Jaboticabal-SP. Observou-se a ocorrência de Anastrepha spp. e Scymnus spp. durante todo o período de amostragem. Com base nos resultados obtidos e nas condições de desenvolvimento do presente trabalho, foram possíveis as seguintes conclusões: a) Ocorre aumento na densidade populacional de Anastrepha spp. com o aumento das temperaturas mínima, média e máxima; b) Os picos populacionais de Anastrepha spp. ocorrem de janeiro a março e coincidem com o período de disponibilidade de frutos maduros no pomar de goiaba; c) Constatam-se as maiores ocorrências do predador Scymnus spp. no período de setembro a dezembro, e as menores ocorrências, em fevereiro e março; d) As precipitações não interferem na dinâmica populacional de Anastrepha spp. e de Scymnus spp..

Dinâmica populacional de Triozoida limbata, Costalimaita ferruginea e inimigos naturais em pomar orgânico e convencional de goiaba

We investigated the population dynamics of Triozoida limbata (Hemiptera: Triozidae) and Costalimaita ferruginea (Coleoptera: Chrysomelidae) and its correlation with the population of natural enemies in organic and conventional orchard of guava. The experiments were performed in two distinct orchards of guava in the 2010/2011 harvest. For monitoring pests and natural enemies, we installed five yellow sticky traps in each orchard. To obtain the correlation between population densities of pests with natural enemies, we used Pearson linear correlation analysis (SAS). The population density of T. limbata remained low, and reaches the top in October in organic orchard of guava. The main pest in conventional orchard of guava was T. limbata and population reaches the top several times. The damage caused by T. limbata in new leaves of guava was more pronounced in conventional orchard. There was a low population density of C. ferruginea in both orchards; however we observed that the population reaches the top in November in organic orchard. The species C. ferruginea caused higher damage in young leaves of guava tree in organic orchard. The highest population density of natural enemies was observed in organic orchard, which presented positive correlation between T. limbata and the coccinellid predator Scymnus spp.

Dinâmica populacional e evolução de dano de Triozoida limbata(Hemiptera: Psillydae) em goiabeira, em Jaboticabal, SP

The present work aimed at learning the population dynamic of Triozoida limbata (Enderlein, 1918) (Hemiptera: Psyllidae) in a guava orchard submitted to the minimum use of insecticide in Jaboticabal - SP. For the study of population fluctuation and the evolution of damage from the psillid we analyzed 20 plants of the orchard biweekly, during the period from March 2005 to June 2006. For each plant we evaluated 10 leaves containing the symptom of the attack from the psillid. The evaluated parameters were the number of nymphs and the percentage of damage caused in the leaves, in accordance with a scale of notes. These parameters were analyzed in histograms and correlated to the meteorological factors. The population density of the psillid increased considerably with the approach of the spring and presented a positive correlation with the temperature. The level of damage of the psillid accompanied the population density of the pest. According to the data found in this work we may conclude that the increase of the temperature causes an increase in the population density of T. limbata and the largest population densities from psillid occur in the months of September to November and the smallest densities occur between the months of May and July.

Dinâmica populacional de ovos e lagartas e parasitismo de ovos de Curuquerê-do-algodoeiro por Trichogramma pretiosum em cultivares convencionais e transgênica de algodoeiro

The introduction of new cotton cultivars in the Midwest region of Brazil resulted in a significant increase in productivity, but the use of inappropriate farming techniques brought many problems to field, as the higher incidence of pests, diseases and weeds. The aim of this work was to study the population dynamics of eggs and larvae of cotton leafworm and natural egg parasitism of the pest by Trichogramma pretiosum Riley (Hymenoptera: Trichogrammatidae) at different phenological stages of conventional and transgenic cultivars (Bollgard I) of cotton was carried out this experiment from December 2007 to April 2008 in Ipameri, Goias State, Brazil. The experimental design was a randomized blocks with five trataments and four replications. The treatments consisting of the conventional cotton cultivars DeltaOPAL, FMX 966, FMX 993, FMX 910 and the cultivar transgenic NuOPAL. Allabama argillacea Hubner (Lepidoptera: Noctuidae) oviposited on all cultivars, not presented differences in relation to oviposition preference. Compared to the average number of eggs of A. argillacea parasitized by T. pretiosum, there were no differences between cultivars. In conventional cultivars, small, medium and large larvae occurred from 34 days after plant emergence until the end of the cycle, while in the transgenic cultivar were found only small caterpillars. Cultivar NuOPAL control cotton leafworm since the first larval stage, and does not interfere in egg parasitism by T. pretiosum compared with other cultivars.