“…Many missions have the goal of exploring these bodies, like Belton et al, 1992Belton et al, , 1996Veverka et al, 2001;Yoshikawa et al, 2007;Jones et al, 2011;Huntress et al, 2006;Surovik and Scheeres, 2014;Broschart and Scheeres, 2005;Bellerose and Scheeres, 2008;Brum et al, 2011. Some other researches considered general trajectories around smaller bodies, which can be used in mission design of future missions to asteroids, like Werner, 1994;Rossi et al, 1999;Scheeres, 1994Scheeres, , 2012aScheeres and Hu, 2001; Bartczakk et al, 2006;Byram and Scheeres, 2009;Venditti and Prado, 2014. The present research is related to the mission named ASTER, that has some preliminary studies available in the literature Macau et al 2010). Its main objective is to study the triple NEA 2001SN 263 (Araú jo et al, 2012;Prado, 2014a, b), because it is believed that it contains information about the original composition of the Solar System.…”