Orbital stability of coplanar two-planet exosystems with high eccentricities

摘要: The long-term stability of the evolution two-planet systems is considered by using general three body problem (GTBP). Our study focused on with adjacent orbits when at least one them highly eccentric. In these cases, in order for close encounters, which destabilize planetary systems, to be avoided, phase protection mechanisms should considered. Additionally, since GTBP a non-integrable system, chaos may also cause destabilization system after long time interval. By computing dynamical maps, based Fast Lyapunov Indicator, we reveal regions space stable even very high eccentricities (e>0.5). Such are present mean motion resonances (MMR). We can determine position exact MMR through computation families periodic rotating frame. Elliptic associated presence apsidal corotation (ACR). When such solutions stable, they neighbouring domains initial conditions that provide stability. apply our methodology so eccentric assigned existence domains. Particularly, orbital extrasolar HD 82943, 3651, 7449, 89744 and 102272 discuss consistency between elements provided observations