@InProceedings{CostaPradMora:2013:CáVaEl,
               author = "Costa, Maria L{\'{\i}}via Galhego T. X. da and Prado, 
                         Ant{\^o}nio Fernando Bertachini de A. and Moraes, Rodolpho 
                         Vilhena de",
          affiliation = "{Universidade Federal de S{\~a}o Paulo (UNIFESP)} and {Instituto 
                         Nacional de Pesquisas Espaciais (INPE)} and {Universidade Federal 
                         de S{\~a}o Paulo (UNIFESP)}",
                title = "C{\'a}lculo da varia{\c{c}}{\~a}o dos elementos orbitais de 
                         sat{\'e}lites lunares devido {\`a} distribui{\c{c}}{\~a}o 
                         n{\~a}o uniforme de massa da lua / Variations of the orbital 
                         elements of lunar satellites due to non-uniform distribution of 
                         mass of the moon",
            booktitle = "Anais...",
                 year = "2013",
         organization = "Semin{\'a}rio de Inicia{\c{c}}{\~a}o Cient{\'{\i}}fica do 
                         INPE (SICINPE).",
            publisher = "INPE",
              address = "S{\~a}o Jos{\'e} dos Campos",
                 note = "{Bolsa PIBIC/INPE/CNPq}",
             keywords = "elementos orbitais, sat{\'e}lites lunares, massa, lua.",
             abstract = "Quando se estuda o movimento de um sat{\'e}lite artificial ao 
                         redor da Lua levando em conta a distribui{\c{c}}{\~a}o n{\~a}o 
                         uniforme de massa lunar e os polin{\^o}mios de Legendre para 
                         descrever o potencial, observa-se que a ordem de grandeza de 
                         alguns coeficientes associados {\`a} ordem e grau dos 
                         polin{\^o}mios n{\~a}o s{\~a}o hierarquicamente proporcionais 
                         {\`a} ordem e grau dos polin{\^o}mios. Diferentemente do caso da 
                         Terra, a ordem do coeficiente associado ao C22 {\'e} apenas um 
                         d{\'e}cimo menor que o coeficiente associado ao J2; tamb{\'e}m, 
                         podemos citar a ordem de grandeza do coeficiente associado ao J9 
                         {\'e} maior que a ordem de grandeza do coeficiente associado ao 
                         J3. Isto faz com que o comportamento do movimento orbital de 
                         sat{\'e}lites lunares, sob alguns aspectos, seja diferente do 
                         comportamento do movimento orbital de sat{\'e}lites artificiais 
                         da Terra. Neste trabalho, utilizando as equa{\c{c}}{\~o}es 
                         planet{\'a}rias de Lagrange, s{\~a}o comparadas as 
                         varia{\c{c}}{\~o}es de elementos orbitais de sat{\'e}lites 
                         lunares devido {\`a} distribui{\c{c}}{\~a}o n{\~a}o uniforme 
                         de massa da Lua com as varia{\c{c}}{\~o}es de elementos orbitais 
                         de sat{\'e}lites artificiais terrestres devido {\`a} 
                         distribui{\c{c}}{\~a}o n{\~a}o uniforme de massa da Terra. 
                         Solu{\c{c}}{\~o}es anal{\'{\i}}ticas aproximadas s{\~a}o 
                         comparadas com a integra{\c{c}}{\~a}o num{\'e}rica das 
                         equa{\c{c}}{\~o}es para algumas simula{\c{c}}{\~o}es. 
                         ABSTRACT: When studying the motion of an artificial satellite 
                         around the Moon, taking into account the non-uniform distribution 
                         of mass for the Moon and Legendre polynomials to describe the 
                         potential, is observed that the order of magnitude of some 
                         coefficients associated with the order and degree of the Legendre 
                         polynomials are not hierarchically proportional to the order and 
                         degree of the polynomials. Just to mention, unlike from the case 
                         for the Earth, the order of the coefficient C22 is only a tenth 
                         lower than the coefficient associated to J2; also as another 
                         example, the order of magnitude of the coefficient associated to 
                         J9 is great than the order of magnitude of coefficient associated 
                         to J3. Underneath some aspects this fact becomes the behavior of 
                         orbital motion of lunar satellites different from the behavior of 
                         orbital motion of artificial satellites orbiting around the Earth. 
                         In this work, the time variations of some orbital elements of 
                         lunar satellites perturbed by the non-uniform distribution of mass 
                         of the Moon are compared with variations of the orbital elements 
                         of artificial satellites orbiting around the Earth perturbed by 
                         the non-uniform distribution of mass the Earth. Lagrange planetary 
                         equations are used. Simulations are done comparing approximate 
                         analytical solutions with numerical integration of the equations 
                         of motion.",
  conference-location = "S{\~a}o Jos{\'e} dos Campos",
      conference-year = "30 e 31 de julho de 2013",
           copyholder = "SID/SCD",
             language = "pt",
                  ibi = "8JMKD3MGP7W/3EPGUD2",
                  url = "http://urlib.net/ibi/8JMKD3MGP7W/3EPGUD2",
           targetfile = "Maria Livia Xavier da Costa.pdf",
        urlaccessdate = "29 abr. 2024"
}