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Solu??es de EDO e simula??es num?ricas para din?mica relativa colisional entre ve?culos operacionais e detritos espaciais

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Previous issue date: 2018-07-07 / Earth's operational orbiting satellites are very useful for space science because it has great features as these services enable research and space explorations for scientific, commercial, and military interests as well. However, the increasing flow of space activities has increased the amount of debris orbiting in the operating regions, thereby increasing the chances of collisions in those areas, and allowing immeasurable damages if the satellite remains in this collision orbit.
In view of the large number of operational objects, the study of evasive maneuvers for space vehicles has been growing, and this one is important in face of the possibility of collisions, not only with a single debris but with clouds of space debris. The objective of the evasive maneuver is to avoid collision, but by keeping the vehicle in its orbit nominally.
The history of the phenomenon, that is, how it evolves over time, is found when the differential equation that represents the phenomenon is solved. From the point of view of Physics and Mathematics, the more realistic the model, the more difficult is the solution of the differential equations representing the phenomenon. Thus, this work seeks to present the analytical and semi-analytical solutions for the equations describing the relative dynamics between two bodies subjected to gravitational force, Chohessy-Wiltshire equations, under the influence of forces: gravitational, atmospheric drag, chemical propulsion ( exponential model and linear model), atmospheric drag plus chemical propulsion and plasma propulsion, and finally present their respective computational simulations. These simulations made it possible to show what happens to the operational satellites against a collision, for each specified model. With the contribution of the development of the atmospheric drag equation, with the drag coefficient varying / Os sat?lites operacionais em ?rbita da Terra s?o muito ?teis para a Ci?ncia Espacial, pois possuem grandes aplica??es e fun??es. Seus servi?os possibilitam pesquisas e explora??es espaciais para interesses cient?ficos, comerciais e tamb?m militares. Por?m, o crescente fluxo das atividades espaciais tem elevado a quantidade de detritos orbitando nas regi?es operacionais e, desse modo, aumentando as chances de colis?es nessas ?reas, e possibilitando imensur?veis preju?zos, caso o sat?lite permane?a nessa ?rbita de colis?o. Diante da grande quantidade de objetos operacionais e n?o operacionais, o estudo de manobras evasivas para os ve?culos espaciais torna-se urgente e necess?rio, visto a possibilidade de colis?es, n?o s? com um ?nico detrito, mas com nuvens de detritos espaciais. O objetivo da manobra evasiva ? evitar a colis?o, mas, mantendo o ve?culo em sua ?rbita nominal. A hist?ria do fen?meno, ou seja, como ele evolui no tempo, ? encontrada quando a equa??o diferencial que o representa ? resolvida. Assim obtemos a posi??o relativa entre os objetos colisionais no tempo. Do ponto de vista da F?sica e da Matem?tica, quanto mais realista for o modelo, mais dif?cil ser? a solu??o das equa??es diferenciais representantes do fen?meno. Assim, este trabalho busca apresentar as solu??es anal?ticas e semi-anal?tica para as equa??es que descrevem a din?mica relativa entre dois corpos sob a atua??o das for?as: gravitacional, de arrasto atmosf?rico, propuls?o qu?mica (modelo exponencial e modelo linear) e propuls?o plasma. Por fim, busca apresentar suas respectivas simula??es computacionais. Estas simula??es possibilitaram mostrar o que acontece com os sat?lites operacionais frente ? uma colis?o, para cada um modelo especificado. Outra contribui??o deste trabalho ? solu??o semi-anal?tica da din?mica relativa com arrasto atmosf?rico para densidade atmosf?rica n?o constante

Identiferoai:union.ndltd.org:IBICT/oai:tede2.uefs.br:8080:tede/717
Date07 July 2018
CreatorsSantana, Jadiane de Jesus
ContributorsDe Jesus, Antonio Concei??o Delson
PublisherUniversidade Estadual de Feira de Santana, Mestrado em Computa??o Aplicada, UEFS, Brasil, DEPARTAMENTO DE TECNOLOGIA
Source SetsIBICT Brazilian ETDs
LanguagePortuguese
Detected LanguageEnglish
Typeinfo:eu-repo/semantics/publishedVersion, info:eu-repo/semantics/masterThesis
Formatapplication/pdf
Sourcereponame:Biblioteca Digital de Teses e Dissertações da UEFS, instname:Universidade Estadual de Feira de Santana, instacron:UEFS
Rightsinfo:eu-repo/semantics/openAccess
Relation303317282311144204, 600, 600, 600, 4335108523020347051, 1231144342511031835

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