This paper described the nuclear astrophysical studies using the unstable ion beam facility GIRAFFE, by indirect measurements. We measured the angular distributions for some single proton or neutron transfer reactions, such as 7 Be ( d,n )8 B , 11 C ( d,n )12 N , 8 Li ( d,n )9 Be , 8 Li ( d,p )9 Li and 13 N ( d,n )14 O in inverse kinematics, and derived the astrophysical S-factors or reaction rates of 7 Be ( p ,γ)8 B , 11 C ( p ,γ)12 N , 8 Li ( n ,γ)9 Li , 13 N ( p ,γ)14 O by asymptotic normalization coefficient, spectroscopic factor, and R-matrix approach at astrophysically relevant energies.