Chaotic systems like mercury orbiting the sun have zone of stability where all the potential orbits lay. The energy from a space probe doing a flyby won't impar

Chaotic systems like mercury orbiting the sun have zone of stability where all the potential orbits lay. The energy from a space probe doing a flyby won't impart enough energy to pop it out of that zone. I'm not going to do the math but probably other planets have a larger effect on Mercuries orbit than a space probe does.