@Article{AlmeidaJśniorPrad:2022:CoThCi,
               author = "Almeida J{\'u}nior, Allan Kardec de and Prado, Antonio Fernando 
                         Bertachini de Almeida",
          affiliation = "{Instituto Nacional de Pesquisas Espaciais (INPE)} and {Instituto 
                         Nacional de Pesquisas Espaciais (INPE)}",
                title = "Comparisons between the circular restricted three-body and 
                         bi-circular four body problems for transfers between the two 
                         smaller primaries",
              journal = "Scientific Reports",
                 year = "2022",
               volume = "12",
               number = "1",
                pages = "e4148",
                month = "Mar.",
             abstract = "Important properties of the dynamics of a spacecraft can be 
                         obtained from the Circular Restricted Three Body Problem and the 
                         Bi-Circular Bi-planar Four Body Problem. In this work, both 
                         systems are compared under the perspective of the costs involved 
                         in a transfer between the smaller primaries. An analytical 
                         approach shows several properties of the perturbation due to the 
                         gravity of the Sun and the motion of the smaller primaries around 
                         it over a spacecraft in the region of interest, like its behavior 
                         at and around the barycenter or at any point in a circle around 
                         the Sun. The costs involved in transfers between the smaller 
                         primaries are numerically evaluated and analyzed using the newly 
                         developed Theory of Functional Connections. The results show that 
                         the influence of this perturbation over the costs is significant 
                         for systems like the Sun-Earth-Moon or Sun-Mars-Phobos. On the 
                         other hand, it is also shown that this influence may be negligible 
                         for other very different systems, like the Sun-Saturn-Titan or 
                         Sun-Ida-Dactyl. Maps of perturbation are drawn in the region of 
                         interest, which can be used for mission designers. Finally, a new 
                         approach to describe the influence of the Sun over the tides of 
                         the smaller primaries is proposed under the Four Body Problem 
                         model.",
                  doi = "10.1038/s41598-022-08046-x",
                  url = "http://dx.doi.org/10.1038/s41598-022-08046-x",
                 issn = "2045-2322",
             language = "en",
           targetfile = "almeida jr_2022_comparisons.pdf",
        urlaccessdate = "25 jun. 2024"
}