Gravity is so weak that there is almost negligible attraction between bodies. If they come within a fraction of a diameter, some dirt and water will be lifted into the air, so that a collision is actually more of a mudslide, or two shotgun blasts coming together.
The mass of the sun is 1.99E30 Kg. At Earth gravity the weight would be 2.189E27 tons.
The mass of Proxima Centauri is .123 of that or 2.45E29 Kg.
Proxima Centauri is 4.2 light years or 3.974E16 meters.
The force between the two is 2.06E16 newtons, which is 2.266E12 (2.266 trillion) tons.
The acceleration is 1.035E-15 or one thousandth of one trillionth of Earth gravity.
And that is for the *nearest* body.
Another point to remember is that any analysis of a system with three or more bodies ALWAYS leads to bodies being ejected from the system until only two remain. There is no stable condition based on gravitation except for a few special conditions called Lagrange points. And yet, real life orbits are stable BY ACCIDENT! The only viable explanation available is based on electric charges and the Faraday motor. Astronomers refuse to consider electric charges and magnetic fields. www.thunderbolts.info/wp/daily-tpod/
Awesome, thanks so much for your help and calculations! What you said about bodies in systems with more than three being ejected until only two remain is very interesting and new to me. I'll look into it further. Thanks again!
Oh, and clever name.