@Article{SolórzanoPrad:2007:ApNoVa,
               author = "Sol{\'o}rzano, Carlos Renato Huaura and Prado, Antonio Fernando 
                         Bertachini de Almeida",
                title = "Third-Body Perturbation Using a Single Averaged Model: Application 
                         in Nonsingular Variables",
              journal = "Mathematical Problems in Engineering",
                 year = "2007",
               volume = "Article ID 40475",
             abstract = "The Lagranges planetary equations written in terms of the 
                         classical orbital elements have the disadvantage of singularities 
                         in eccentricity and inclination. These singularities are due to 
                         the mathematical model used and do not have physical reasons. In 
                         this paper, we studied the third-body perturbation using a single 
                         averaged model in nonsingular variables. The goal is to develop a 
                         semianalytical study of the perturbation caused in a spacecraft by 
                         a third body using a single averaged model to eliminate 
                         short-period terms caused by themotion of the spacecraft. This is 
                         valid if no resonance occurs with themoon or the sun. Several 
                         plots show the time histories of the Keplerian elements of 
                         equatorial and circular orbits, which are the situations with 
                         singularities. In this paper, the expansions are limited only to 
                         second order in eccentricity and for the ratio of the semimajor 
                         axis of the perturbing and perturbed bodies and to the fourth 
                         order for the inclination.",
                  doi = "10.1155/2007/40475",
                  url = "http://dx.doi.org/10.1155/2007/40475",
                 issn = "1024-123X and 1563-5147",
             language = "en",
           targetfile = "S1024123X07404756[1].pdf",
        urlaccessdate = "21 maio 2024"
}