# Will a new planet form if Jupiter's influence on asteroid belt will diminish in a few billion years?

I know that tidal forces are pushing Jupiter farther from the Sun, but I couldn't find exactly the yearly amount. In a few billion years would this effect (and subsequent decrease in gravity pull) allow the formation of a new planet from the asteroid belt or would Jupiter take the asteroids with it farther away?

With a Stern-Levison parameter of $8.32 \cdot 10^{−4},$ Ceres is too small to fulfill the third IAU criterion for a planet, and too small to clear its neighbourhood.
Even a dwarf planet of the total mass of the asteroid belt couldn't fulfill the criterion on a pure Stern-Levison parameter basis, hence wouldn't be able to keep its neighbourhood clear. Its Stern-Levison parameter would be about $7.5\cdot 10^{-3}$. That's well below 1, the estimated value necessary to fulfill the third IAU criterion, but well above the Stern-Levison parameter of $2.95 × 10^{−3}$ for Pluto.