@PhDThesis{Carvalho:2004:TrÓtBa,
               author = "Carvalho, Francisco das Chagas",
                title = "Transfer{\^e}ncias {\'o}timas a baixo empuxo e pot{\^e}ncia 
                         limitada entre {\'o}rbitas el{\'{\i}}pticas quaisquer",
               school = "Instituto Nacional de Pesquisas Espaciais (INPE)",
                 year = "2004",
              address = "S{\~a}o Jos{\'e} dos Campos",
                month = "2004-05-27",
             keywords = "{\'o}rbita, {\'o}rbitas circulares, {\'o}rbitas 
                         el{\'{\i}}pticas, mec{\^a}nica orbital, sat{\'e}lites 
                         artificiais, baixo empuxo, pot{\^e}ncia limitada, 
                         otimiza{\c{c}}{\~a}o de trajet{\'o}ria, princ{\'{\i}}pio de 
                         m{\'a}ximo de Pontryagin, transforma{\c{c}}{\~a}o 
                         can{\^o}nica, orbits, circular orbits, orbital mechanics, 
                         artificial satellites, low thust, limited power, trajectory 
                         optimization, maximum principle of the pontryagin, canonical 
                         transformation.",
             abstract = "Neste trabalho {\'e} apresentada uma an{\'a}lise do problema de 
                         transfer{\^e}ncias espaciais {\'o}timas entre {\'o}rbitas 
                         coplanares e coaxiais diretas, entre {\'o}rbitas coplanares 
                         n{\~a}o coaxiais diretas e entre {\'o}rbitas n{\~a}o-coplanares 
                         coaxiais diretas em campo central Newtoniano, realizadas 
                         atrav{\'e}s de sistemas propulsivos a baixo empuxo e 
                         pot{\^e}ncia limitada. O problema geral de transfer{\^e}ncias 
                         {\'e} inicialmente formulado como um problema de Mayer da teoria 
                         de controle {\'o}timo com elementos cartesianos vetores 
                         posi{\c{c}}{\~a}o e velocidade como vari{\'a}veis de estado. 
                         Ap{\'o}s a determina{\c{c}}{\~a}o da Hamiltoniana m{\'a}xima 
                         que descreve as trajet{\'o}rias extremas, pelo Princ{\'{\i}}pio 
                         de M{\'a}ximo de Pontryagin, elementos orbitais cl{\'a}ssicos 
                         s{\~a}o introduzidos atrav{\'e}s de uma 
                         transforma{\c{c}}{\~a}o can{\^o}nica transforma{\c{c}}{\~a}o 
                         de Mathieu definida a partir da solu{\c{c}}{\~a}o geral do 
                         n{\'u}cleo integr{\'a}vel da fun{\c{c}}{\~a}o Hamiltoniana. Os 
                         termos de curto per{\'{\i}}odo s{\~a}o eliminados da 
                         Hamiltoniana m{\'a}xima atrav{\'e}s de uma 
                         transforma{\c{c}}{\~a}o can{\^o}nica infinitesimal 
                         constru{\'{\i}}da atrav{\'e}s do m{\'e}todo de Hori. A 
                         Hamiltoniana m{\'a}xima m{\'e}dia que descreve as 
                         trajet{\'o}rias extremais associadas {\`a}s manobras de longa 
                         dura{\c{c}}{\~a}o para as transfer{\^e}ncias simples acima 
                         citadas possui uma forma quadr{\'a}tica nas vari{\'a}veis 
                         adjuntas que possibilita a resolu{\c{c}}{\~a}o das 
                         equa{\c{c}}{\~o}es can{\^o}nicas. Para as manobras de longa 
                         dura{\c{c}}{\~a}o, {\'e} investigada a exist{\^e}ncia de 
                         pontos conjugados atrav{\'e}s da condi{\c{c}}{\~a}o de Jacobi e 
                         s{\~a}o constru{\'{\i}}das as curvas de isoconsumo referentes a 
                         uma manobra de dura{\c{c}}{\~a}o especificada. ABSTRACT: The 
                         problem of low thrust limited power propulsion maneuvers in a 
                         central gravity field is analyzed in this work. The problem of 
                         optimal direct transfer between coplanar coaxial orbits, direct 
                         transfer between coplanar non-coaxial orbits and direct transfer 
                         between non-coplanar coaxial orbits are treated. The general 
                         problem of transfers is formulated initially as a Mayer problem of 
                         the theory of optimal control, in which Cartesian elements 
                         position and velocity vectors are taken as state variables. After 
                         the determination of the maximum Hamiltonian that describes the 
                         extremals trajectories, through the Maximum Pontryagin Principle, 
                         classical orbital elements are introduced through a canonical 
                         transformation - Mathieu transformation- defined from the general 
                         solution of the kernel integrable of the Hamiltonian function. The 
                         terms of short period are eliminated from the maximum Hamiltonian 
                         through an infinitesimal canonical transformation constructed with 
                         the Horis method. The {"}mean{"} maximum Hamiltonian that 
                         describes the extremal trajectories associated with the maneuvers 
                         of long duration for the simple transfers mentioned has a 
                         quadratic form in the adjoint variables that facilitates the 
                         resolution of the canonical equations. For the maneuvers of long 
                         duration, the existence of conjugate points through the Jacobi 
                         conditions is investigated and the curves of equal propellant 
                         consumption with respect to a maneuver of specified duration are 
                         constructed.",
            committee = "Moraes, Rodolpho Vilhena de (presidente) and Fernandes, Sandro da 
                         Silva (orientador) and Prado, Antonio Fernando Bertachini Almeida 
                         (orientador) and Souza, Marcelo Lopes de Oliveira e and Zanardi, 
                         Maria Cecilia Fran{\c{c}}a de Paula Santos and Martins, Roberto 
                         Vieira and Lopes, Roberto Vieira da Fonseca and Faleiros, 
                         Ant{\^o}nio C{\^a}ndido",
           copyholder = "SID/SCD",
         englishtitle = "Optimal low thrust limited power transfers between arbitrary 
                         elliptic orbits.",
             language = "pt",
                pages = "191",
                  ibi = "6qtX3pFwXQZ3P8SECKy/D3FhT",
                  url = "http://urlib.net/ibi/6qtX3pFwXQZ3P8SECKy/D3FhT",
           targetfile = "publicacao.pdf",
        urlaccessdate = "05 maio 2024"
}