# 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?

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The total mass of the asteroid belt is just about 4% of the mass of our Moon. Even if the asteroids don't collide with other planets in the meanwhile, the mass is too low to form a planet in the sense of the 2006 IAU definition.

Even if Ceres would accrete all asteroids in the asteroid belt, its radius wouldn't grow to the double of its present radius, hence stay smaller than Mercury. But Ceres is already large enough to fit the present IAU definition of a planet, with the exception, that it hasn't cleared its neighbourhood.

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.

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