Optimal low cost transfer to L4 and L5 lagrangian points

Lagrangian points L4 and L5 lie at 60 degrees ahead of and behind Moon in its orbit with respect to the Earth. Each one of them is a third point of an equilateral triangle with the base of the line defined by those two bodies. These Lagrangian points are stable for the Earth-Moon mass ratio. Because of their distance electromagnetic radiations from the Earth arrive on them substantially attenuated. As so, these Lagrangian points represent remarkable positions to host astronomical observatories. However, this same distance characteristic may be a challenge for periodic servicing mission. In this work, we introduce a new low-cost orbital transfer strategy that opportunistically combine chaotic and swing-by transfers to get a very efficient strategy that can be used for servicing mission on astronomical mission placed on Lagrangian points L4 or L5. This strategy is not only efficient with respect to thrust requirement, but also its time transfer is comparable to others known transfer techniques based on time optimization. Copyright ©2010 by the International Astronautical Federation. All rights reserved.

Fractais no ensino médio

Pós-graduação em Matemática em Rede Nacional - IBILCE

Peculiar trajectories around the Lagrangian equilateral points

In the present work we analyse the behaviour of a particle under the gravitational influence of two massive bodies and a particular dissipative force. The circular restricted three body problem, which describes the motion of this particle, has five equilibrium points in the frame which rotates with the same angular velocity as the massive bodies: two equilateral stable points (L-4, L-5) and three colinear unstable points (L-1, L-2, L-3). A particular solution for this problem is a stable orbital libration, called a tadpole orbit, around the equilateral points. The inclusion of a particular dissipative force can alter this configuration. We investigated the orbital behaviour of a particle initially located near L4 or L5 under the perturbation of a satellite and the Poynting-Robertson drag. This is an example of breakdown of quasi-periodic motion about an elliptic point of an area-preserving map under the action of dissipation. Our results show that the effect of this dissipative force is more pronounced when the mass of the satellite and/or the size of the particle decrease, leading to chaotic, although confined, orbits. From the maximum Lyapunov Characteristic Exponent a final value of gamma was computed after a time span of 10(6) orbital periods of the satellite. This result enables us to obtain a critical value of log y beyond which the orbit of the particle will be unstable, leaving the tadpole behaviour. For particles initially located near L4, the critical value of log gamma is -4.07 and for those particles located near L-5 the critical value of log gamma is -3.96. (c) 2006 Elsevier B.V. All rights reserved.

Chaotic Dynamics in a Low-Energy Transfer Strategy to the Equilateral Equilibrium Points in the Earth-Moon System

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

Signatures of primordial non-Gaussianities in the matter power-spectrum and bispectrum: the time-RG approach

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

Desempenho das metodologias convencionais de quantificacao de reservas<>9d\estudo de um deposito de niquel

Ten working-groups were formed for estimation of nickel ore reserves, associated to an ultrabasic body, at Ipanema, MG. Each group employed six methods: parallel sections, isolines, triangles, polygons, blocks and statistical method. The triangles method showed more variability, and the smallest dispersion was obtained by the polygons method; the other methods induced fluctuations in relation to the mean. Top and bottom ore irregularities produced difficulties in the performance of the parallel sections method. Different ways of application of isolines method also produced some variations. Excepting for few calculated data, the overall results are very close to 2 200 000 t or ore. -English summary

Abordagem quantitativa na avaliacao do deposito de carvao de cerquilho - SP

This paper deals with an integrated study concerning the evaluation of the coal deposit at Cerquilho (Sao Paulo State) in the upper part of the Tubarao Group. Palaeogeographical studies from other authors describe the genesis of these deposits as a deltaic system overlapped by a marine transgressive sequence. The study applied four methods for ore reserve estimation (isolines, blocks, polygones and triangles), besides statistical and geostatistical methodology. The technological characterization assays suggest the application for the coal in cement and ceramics industries. The applied methodology showed reserves estimated around 1 400 000 ton. The isolines method tend to underestimate the amount of coal, on the other hand, the kriging method shows a tendency to overestimate the results. The data from the polygonal method are closest to mean values. For the thickness estimation the results close to the mean values are those from the isolines. -after English summary

Adaptative techniques for the human faces detection

This paper presents results from an efficient approach to an automatic detection and extraction of human faces from images with any color, texture or objects in background, that consist in find isosceles triangles formed by the eyes and mouth.

A 2-D delaunay refinement algorithm using an initial prerefinement from the boundary mesh

An improvement to the quality bidimensional Delaunay mesh generation algorithm, which combines the mesh refinement algorithms strategy of Ruppert and Shewchuk is proposed in this research. The developed technique uses diametral lenses criterion, introduced by L. P. Chew, with the purpose of eliminating the extremely obtuse triangles in the boundary mesh. This method splits the boundary segment and obtains an initial prerefinement, and thus reducing the number of necessary iterations to generate a high quality sequential triangulation. Moreover, it decreases the intensity of the communication and synchronization between subdomains in parallel mesh refinement. © 2008 IEEE.

As estratégias discursivas da comunicação dirigida em pontos de venda do HSBC

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Relações entre os conhecimentos, as atitudes e a confiança dos alunos do curso de licenciatura em Matemática em resolução de problemas geométricos

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

A resolução de problemas no processo ensino-aprendizagem-avaliação de matemática na e além da sala de aula

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

A tecnologia informática como auxílio no ensino de geometria para deficientes visuais

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Análise da variação da posição dos dentes artificiais durante as fases específicas do processamento de próteses totais superiores mensurada por computação gráfica

Pós-graduação em Odontologia - FOA

Alternative transfer to the Earth-Moon Lagrangian points L4 and L5 using lunar gravity assist

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