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@PhDThesis{Marchi:2022:EsTéDe,
               author = "Marchi, Luis Ot{\'a}vio",
                title = "Estudo de t{\'e}cnicas para deflex{\~a}o de asteroides 
                         potencialmente perigosos",
               school = "Instituto Nacional de Pesquisas Espaciais (INPE)",
                 year = "2022",
              address = "S{\~a}o Jos{\'e} dos Campos",
                month = "2022-04-29",
             keywords = "(99942) Apophis, (101955) Bennu, defesa planet{\'a}ria, 
                         minera{\c{c}}{\~a}o espacial, PHA’s, planetary defense, space 
                         mining.",
             abstract = "Neste trabalho propomos o uso de tr{\^e}s m{\'e}todos para 
                         deflex{\~a}o de Aster{\'o}ides Potencialmente Perigosos (PHAs, 
                         sigla em ingl{\^e}s para Potentially Hazardous Asteroids), os 
                         quais s{\~a}o: perturbador gravitacional, impactador 
                         cin{\'e}tico e dispositivo espacial reflexivo. Usamos 
                         configura{\c{c}}{\~o}es com 01 e 02 perturbadores gravitacionais 
                         para medir os desvios na trajet{\'o}ria do (99942) Apophis, 
                         levando em considera{\c{c}}{\~a}o o Problema de N-Corpos, 
                         incluindo todos os planetas do Sistema Solar, a Lua, as luas de 
                         Marte (Fobos e Deimos), a lua de Plut{\~a}o (Caronte), os 
                         tr{\^e}s maiores aster{\'o}ides situados no Cintur{\~a}o 
                         Principal (Ceres, Pallas e Vesta), as perturba{\c{c}}{\~o}es 
                         devido ao achatamento do Sol (J2), harm{\^o}nicos esf{\'e}ricos 
                         zonais, setoriais e tesserais da Terra e da Lua (ordem e grau 6), 
                         press{\~a}o de radia{\c{c}}{\~a}o solar (PRS) e efeitos 
                         relativ{\'{\i}}sticos, segundo a Teoria da Relatividade Geral. 
                         Validamos o simulador criado comparando os resultados calculados 
                         com os fornecidos pelas efem{\'e}rides HORIZONS do JPL, para 
                         semi-eixo maior, excentricidade e inclina{\c{c}}{\~a}o, durante 
                         a fase de m{\'{\i}}nima aproxima{\c{c}}{\~a}o com a Terra em 
                         13/04/2029. Mostramos quais s{\~a}o os perturbadores mais 
                         importantes na din{\^a}mica do (99942) Apophis, em 
                         compara{\c{c}}{\~a}o com a din{\^a}mica de outros 
                         aster{\'o}ides, atrav{\'e}s da integral do valor absoluto das 
                         acelera{\c{c}}{\~o}es perturbadoras (Tipo-I). Com o cruzamento 
                         dos resultados obtidos, encontramos as condi{\c{c}}{\~o}es 
                         iniciais dos perturbadores que afastam ou aproximam o (99942) 
                         Apophis da Terra. Al{\'e}m disso, mapeamos as 
                         condi{\c{c}}{\~o}es iniciais que geram colis{\~o}es entre os 
                         corpos do sistema. Usando como base o modelo validado para o 
                         perturbador gravitacional, implementamos o m{\'e}todo do 
                         impactador cin{\'e}tico e calculamos os desvios na 
                         trajet{\'o}ria do (99942) Apophis, como fun{\c{c}}{\~a}o de um 
                         incremento na velocidade do pr{\'o}prio aster{\'o}ide ou da 
                         espa{\c{c}}onave, antes de ocorrer o impacto. Por {\'u}ltimo, 
                         propomos um m{\'e}todo baseado na fixa{\c{c}}{\~a}o de um 
                         bal{\~a}o reflexivo por um cabo espacial na superf{\'{\i}}cie 
                         do (101955) Bennu, um aster{\'o}ide com caracter{\'{\i}}sticas 
                         peculiares e alvo da miss{\~a}o OSIRIS-REx. Os desvios 
                         determinados foram ajustados por equa{\c{c}}{\~o}es lineares, 
                         como fun{\c{c}}{\~a}o dos par{\^a}metros f{\'{\i}}sicos desse 
                         dispositivo. Para os tr{\^e}s m{\'e}todos estudados, 
                         verificou-se a possibilidade de alterar a {\'o}rbita do 
                         aster{\'o}ide no sentido de aproxim{\'a}lo ou de afast{\'a}-lo 
                         da Terra. ABSTRACT: In this work we propose the use of three 
                         methods to deflect Potentially Hazardous Asteroids (PHAs), which 
                         are: gravitational tractor, kinetic impactor and reflective space 
                         device. We used configurations with 01 and 02 gravitational 
                         perturbators to measure deviations in the trajectory of the 
                         (99942) Apophis, taking into account the N-Bodies Problem, 
                         including all the planets of the Solar System, the Moon, the moons 
                         of Mars (Phobos and Deimos), the moon of Pluto (Charon), the three 
                         largest asteroids located in the Main Belt (Ceres, Pallas and 
                         Vesta), and the orbital perturbations of the Sun (J2), zonal, 
                         sectoral and tesseral spherical harmonics of Earth and Moon (order 
                         and degree 6), solar radiation pressure (SRP) and relativistic 
                         effects, according to The General Theory of Relativity. We 
                         validated the simulator created by comparing the results 
                         calculated with those perturbations with ones provides by JPLs 
                         HORIZONS ephemeris, for semi-major axis, eccentricity and 
                         inclination, during the phase of minimum approach to Earth on 
                         04/13/2029. We show which perturbators are more important in the 
                         dynamics of the (99942) Apophis, compared to the dynamics of other 
                         asteroids, using the absolute value of the disturbing 
                         accelerations (Type I). By comparing the results obtained, we find 
                         the initial conditions of the perturbators that move away or 
                         approach the (99942) Apophis from the Earth. In addition, we map 
                         the initial conditions that generate collisions between the bodies 
                         of the system. Using the validated model for the gravitational 
                         perturbator as a basis, we implemented the kinetic impactor method 
                         and calculated the deviations in the trajectory of the (99942) 
                         Apophis, as a function of an increase in the velocity of the 
                         asteroid itself and the spacecraft, before impact. Finally, we 
                         propose a method based on the attachment of a reflective balloon 
                         by a space cable to the surface of (101955) Bennu, an asteroid 
                         with peculiar characteristics and target of the OSIRISREx mission. 
                         The deviations determined were adjusted by linear equations, as a 
                         function of the physical parameters of this device. For the three 
                         methods studied, it was verified the possibility of changing the 
                         asteroids orbit to bring it closer or to send it away from the 
                         Earth.",
            committee = "Moraes, Rodolpho Vilhena de (presidente) and Prado, Antonio 
                         Fernando Bertachini de Almeida (orientador) and Sanchez, Diogo 
                         Merguizo (orientador) and Venditti, Flaviane Cristine Faria 
                         (orientadora) and Carvalho, Francisco das Chagas and Terra, 
                         Ma{\'{\i}}sa de Oliveira and Gomes, Vivian Martins",
         englishtitle = "Studying techniques to deflect potentially dangerous asteroids",
             language = "pt",
                pages = "89",
                  ibi = "8JMKD3MGP3W34T/4769E68",
                  url = "http://urlib.net/ibi/8JMKD3MGP3W34T/4769E68",
           targetfile = "publicacao.pdf",
        urlaccessdate = "05 maio 2024"
}


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