I know this one! We wouldn't notice anything here on Earth.
I was a physics major and my senior project, basically, was on the the degree of chaos inherent in the solar system. Specifically, I chose Pluto as the body to watch and ran 200 million year long simulations of the solar system on a confined "6 body + Pluto" solar system. I gave a lecture at Yale on this subject. April 24, 1995.
Running simulations of the solar system with and without Pluto using Newton's gravitational equations
changes hardly anything from the Earth's point of view. It's small and very far away, so far away that the Sun looks only like a bright star from Pluto's distance out.
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