Trojans in Exosystems with Two Massive Planets

We take as dynamical model for extrasolar planetary systems a central star like our Sun and two giant planets m ₁ and m ₂ like Jupiter and Saturn. We change the mass ratio μ=m ₂/m ₁ of the two large planets for a wide range of 1/16 < μ < 16. We also change the ratio between the initial semi-major axes (ν=a ₂/a ₁) in the range of 1.2 < ν < 3 to model the different architecture of extrasolar planetary systems hosting two giant planets. The results for possible Trojans (Trojan planets) in the equilateral equilibrium points of the inner planet m ₁ and the outer planet m ₂ were derived with the aid of numerical integration. It turned out that in many configurations - depending on the mass ratios μ and the semi-major axes ratio ν - giant planets may host Trojans.