“…Figura 3 -Diferenças entre as aproximações W1, W2, e W3 , sendo que W1 foi obtida com critério de parada ϵ = 10 -8 , W2 uma expressão obtida com n=10 termos em 7 The space between the Earth and the Moon has several artificial satellites and distinct objects in some resonance. Synchronous satellites in circular or elliptical orbits have been extensively studied in literature, due to the research of resonant orbits characterizing the dynamics of these satellites (see [SAMPAIO et al, 2012a[SAMPAIO et al, , 2012b[SAMPAIO et al, , 2014 and references here in)…”