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@MastersThesis{Costa:2021:ÓrQuQu,
               author = "Costa, Maria L{\'{\i}}via Galhego Thibes Xavier da",
                title = "{\'O}rbitas quase-cr{\'{\i}}ticas e 
                         quase-helioss{\'{\i}}ncronas em torno de sat{\'e}lites 
                         naturais",
               school = "Instituto Nacional de Pesquisas Espaciais (INPE)",
                 year = "2021",
              address = "S{\~a}o Jos{\'e} dos Campos",
                month = "2020-07-03",
             keywords = "teoria can{\^o}nica de perturba{\c{c}}{\~a}o, 
                         inclina{\c{c}}{\~o}es quase-cr{\'{\i}}ticas, 
                         inclina{\c{c}}{\~o}es quase-helioss{\'{\i}}ncronas, 
                         programa{\c{c}}{\~a}o n{\~a}o-linear, sat{\'e}lites 
                         planet{\'a}rios, canonical perturbation theory, quasi-critical 
                         inclinations, quasi-heliosynchronous inclinations, nonlinear 
                         programming, planetary satellites.",
             abstract = "Quando apenas os termos seculares devido ao achatamento do corpo 
                         central s{\~a}o considerados no potencial gravitacional, os 
                         valores cl{\'a}ssicos da inclina{\c{c}}{\~a}o cr{\'{\i}}tica 
                         s{\~a}o de 63.43 e 116.57 para as {\'o}rbitas direta e 
                         retr{\'o}grada, respectivamente, e os da inclina{\c{c}}{\~a}o 
                         helioss{\'{\i}}ncrona s{\~a}o, por sua vez, constantes e 
                         retr{\'o}grados para cada par de semieixo maior e excentricidade. 
                         Se termos setoriais s{\~a}o inclu{\'{\i}}dos na 
                         fun{\c{c}}{\~a}o perturbadora, as equa{\c{c}}{\~o}es de 
                         movimento se acoplam, e a busca por inclina{\c{c}}{\~o}es 
                         cr{\'{\i}}ticas e helioss{\'{\i}}ncronas passa a ser uma 
                         tarefa n{\~a}o trivial. Com o objetivo de superar esta 
                         dificuldade, tratando corretamente o acoplamento das 
                         equa{\c{c}}{\~o}es e esclarecendo o efeito da 
                         inser{\c{c}}{\~a}o do harm{\^o}nico setorial C22 na 
                         fun{\c{c}}{\~a}o hamiltoniana, o conceito de 
                         inclina{\c{c}}{\~o}es quase-cr{\'{\i}}ticas {\'e} acurado e o 
                         de inclina{\c{c}}{\~o}es quase-helioss{\'{\i}}ncronas {\'e} 
                         introduzido. Tais inclina{\c{c}}{\~o}es s{\~a}o encontradas com 
                         o aux{\'{\i}}lio do formalismo hamiltoniano, sob a luz da 
                         otimiza{\c{c}}{\~a}o n{\~a}o-linear, para sat{\'e}lites 
                         artificiais ao redor da Lua, Io, Europa, Ganimedes, Calisto e 
                         Tit{\~a}. Nesse sentido, o presente trabalho faz as seguintes 
                         novas contribui{\c{c}}{\~o}es para os problemas de 
                         inclina{\c{c}}{\~a}o cr{\'{\i}}tica e {\'o}rbitas 
                         helioss{\'{\i}}ncronas: i) aplica ferramentas de 
                         programa{\c{c}}{\~a}o n{\~a}o-linear a um problema de teoria de 
                         perturba{\c{c}}{\~o}es; ii) obt{\'e}m inclina{\c{c}}{\~o}es 
                         retr{\'o}gradas quase-cr{\'{\i}}ticas e 
                         quase-helioss{\'{\i}}ncronas (ambos os casos inexistentes na 
                         literatura); iii) e, finalmente, encontra {\'o}rbitas 
                         quase-cr{\'{\i}}ticas e quase-helioss{\'{\i}}ncronas em torno 
                         dos sat{\'e}lites planet{\'a}rios supracitados. ABSTRACT: When 
                         only the secular terms due to the central body oblateness are 
                         considered in the gravitational potential, the critical 
                         inclination classical values are about 63.43 and 116.57 for the 
                         direct and retrograde orbits, respectively, and the ones of the 
                         heliosynchronous inclination are, in turn, constant and retrograde 
                         for each pair of semi-major axis and eccentricity. If sectoral 
                         terms are included into the disturbing function, the equations of 
                         motion become coupled, then searching for critical and 
                         heliosynchronous inclinations are not a trivial task. For the 
                         purpose of overcoming this difficulty, treating accordingly the 
                         coupling of the equations and shedding light on the effect of 
                         inserting the C22 sectoral hamornic in the hamiltonian function, 
                         the quasi-critical inclinations concept is refined and the 
                         quasi-heliosynchronous inclinations one is introduced. Such 
                         inclinations are found with the aid of the hamiltonian formalism, 
                         under the light of nonlinear optimization, for artificial 
                         satellites around the Moon, Io, Europa, Ganymede, Callisto and 
                         Titan. In this sense, the present work makes the following new 
                         contributions to the problems of critical inclination and 
                         heliosynchronous orbits: i) application of the nonlinear 
                         programming tools to a perturbation theory problem; ii) the 
                         obtainment of quasi-critical and quasi-heliosynchronous retrograde 
                         inclinations (both cases not existing in the literature); iii) 
                         and, finally, finding quasi-critical and quasi-heliosynchronous 
                         orbits around the aforementioned planetary satellites.",
            committee = "Kuga, Helio Koiti (presidente) and Prado, Antonio Fernando 
                         Bertachini de Almeida (orientador) and Moraes, Rodolpho Vilhena de 
                         (orientador) and Carvalho, Jean Paulo dos Santos (orientador) and 
                         Merguizo Sanchez, Diogo and Terra, Maisa de Oliveira",
         englishtitle = "Quasi-critical and quasi-heliosynchronous orbits around natural 
                         satellites",
             language = "pt",
                pages = "299",
                  ibi = "8JMKD3MGPDW34P/436P3RL",
                  url = "http://urlib.net/ibi/8JMKD3MGPDW34P/436P3RL",
           targetfile = "publicacao.pdf",
        urlaccessdate = "29 mar. 2024"
}


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