In a hypothetical scenario, a torus-shaped planet with constant negative gravitational force at the center. How would projectile motion, etc. on the planet differ as compared to Earth?

I am making the attempt to develop some computational models of Star systems and I was wondering how the a torus shaped planet would compare to a traditional spherical planet in the context of rotational and orbital motion.

In a hypothetical scenario, a torus-shaped planet with constant negative gravitational force at the center. How would the Newtonian physics differ as compared to here on Earth?

In a hypothetical scenario, a torus-shaped planet with constant negative gravitational force at the center. How would projectile motion, etc. on the planet differ as compared to Earth?