Nit: located at the gravitational centre of the solar system. Which is not the perfect center of the sun (though still inside it) since all the planets pull on

Nit: located at the gravitational centre of the solar system. Which is not the perfect center of the sun (though still inside it) since all the planets pull on the sun too. Since that gravitational center, and the center of the pairwise systems is not the same, I wonder if a planet at that place is really the best solution.