Instability zones for satellites of asteroids: The example of the (87) Sylvia system

► We study the dynamics and stability of the satellites of the Asteroid (87) Sylvia. ► The two satellites are in a stable zone, but bounded by chaotic resonances. ► Tides/BYORP effects are driving the system through the evection resonance. ► The BYORP effect allows a wide diversity of evolutions for triple systems.