I don't know crap about fancy equations, but here's what I came up with. Before we start, I'm going to go over the biggest problem: magnetizing Mars. As many of you know, mars has no magnetic field and thus has a very thin and toxic atmosphere because of constant solar wind. If we ever hope to inhabit Mars, we HAVE TO magnetize it. I don't know if anyone else has come up with what I'm about to propose, but I didn't steal this idea. Mars has an iron core, so, in theory, you could magnetize the core of mars like a bar magnet. How I think you could do this is by drilling to the core of the planet on both poles. Then you construct colossal electromagnets and expose the core to a powerful magnetic fields, then, you zap the iron core with thousand's of kilowatts of electricity. Doing this, as far as I'm concerned, would magnetize the core of the planet with out heating it up. The resulting magnetic field would also be much stronger than a normal planets field since high temperature isn't involved. You could smash a bunch of comets and asteroids into Mars, not only adding more mass to it, therefore adding more gravity to it, therefore allowing it to have a larger atmosphere, but also possibly making enough heat energy to melt some of the ice on Mars if you hit it in the ice caps, therefore adding more atmosphere. You could also import CO2 from Venus, therefore making the terraforming of Venus actually possible, and eventually trapping enough heat to melt the ice caps fully and having liquid water. Then, you'd need to get some algae, go to Mars, and start going to town with it. After waiting a few years, there should be enough oxygen produced by the algae that you could then send over some bigger plants and so on. This should produce enough oxygen to make Mars just as habitable as Earth is (after a few decades, of course). Then, send some colony ships there, and go to town. That's my theory on how to colonize Mars!
