All Seeing Eye
Admiral
Really, is that all? Wow, the distance to the Alpha Centauri system is only 41.5 trillion km. At 12 km/s, it will only take 11,000 years to get there!! Let's get started!!!!
(Someone check my math on that, please.)
Getting the Moon out of planetary orbit and beyond the Suns gravitational pull is the tricky part. Once it is out of the solar system more thrust can be added increasing the Moons speed so it gets there quicker and the length of the journey involved is why an object the size of a small Moon will be required. There is no way a generational ship could make a trip to the next star, it simply could not sustain an increasing population and increasing resource depletion.
Sending a Moon colony to the next Star is the best method. The colony can expand, adapt and develop on the journey there. Once there it can locate another rocky Planet or Moon to spread to.
Why send a ship to another star system to try and start a colony which could fail when you can create the colony and send the colony there instead. By arriving at the destination with a fully developed colony it makes the job of creating new colonies at the destination star much easier.
You could knock a Moon out of it's orbit by adding only 1 Newton of force and we could easily add more than that.
You want to push a moon out of its orbit by applying 1 N of force?
No. Where do I say I want to knock a Moon out of orbit with 1 Newton of force? I was simply stating a fact that that's all you would need.
I said clearly "and we could easily add more than that". Meaning we'd knock it out of orbit with a lot more than 1 Newton of force.