@Article{CostaMoraPradCarv:2020:OpApSe,
               author = "Costa, Maria L{\'{\i}}via Galhego Thibe Xavier da and Moraes, 
                         Rodolpho Vilhena de and Prado, Antonio Fernando Bertachini de 
                         Almeida and Carvalho, J. P. S.",
          affiliation = "{Instituto Nacional de Pesquisas Espaciais (INPE)} and {Instituto 
                         Nacional de Pesquisas Espaciais (INPE)} and {Instituto Nacional de 
                         Pesquisas Espaciais (INPE)} and {Universidade Federal do 
                         Rec{\^o}ncavo da Bahia (UFRBA)}",
                title = "An optimization approach to search for quasi-critical inclinations 
                         for direct and retrograde orbits",
              journal = "European Physical Journal Special Topics",
                 year = "2020",
               volume = "229",
               number = "8",
                pages = "1429--1440",
                month = "May",
             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 degrees and 116.56 
                         degrees for the direct and retrograde orbits, respectively. If 
                         sectoral terms are included into disturbing function, the 
                         equations of motion become coupled, then searching for critical 
                         inclinations is not a trivial problem. Thus, for the purpose of 
                         overcoming this difficulty and to shed light on the effect of 
                         inserting the C-22 sectoral hamornic in the Hamiltonian function, 
                         the quasi-critical inclinations concept is revised and its 
                         solution is proposed as an optimization problem. In this sense, 
                         the present article makes the following contributions to the 
                         quasi-critical inclination problem: (i) applying the nonlinear 
                         optimization tools to solve this problem; (ii) through this 
                         technique, obtaining quasi-critical inclinations for the 
                         retrograde case for the first time; (iii) using this technique to 
                         find direct and retrograde orbits around Io, a very important body 
                         to be studied in the future.",
                  doi = "10.1140/epjst/e2020-900189-y",
                  url = "http://dx.doi.org/10.1140/epjst/e2020-900189-y",
                 issn = "1951-6355",
             language = "en",
           targetfile = "Costa_optimization.pdf",
        urlaccessdate = "18 abr. 2024"
}