To move a large asteroid to geostationary orbit would be achieved by moving a small block perhaps with a laser from our cozy earth (you know mother earth, she's cozy!) that would then move a large asteroid by gravity as the small stone moves past the more massive stone, whose path in turn would move a larger one to the earth orbit cheaper and fast.
Once the stone was headed where we aim it or the largest massive asteroid was headed toward us, we wouldn't have to wait a hundred years for it to reach the earth. Motors on the incoming stone would speed up the process or accelerating them with more such massive rocks by the same motif (moving them by the beams to where we want the motion to deflect the more massive stone) or by using machines with beams like a maser or laser to move close up and move or deflect the massive stone. (Another type of beam may be of the type of recent patents that use the oscillating slice of a wheel to generate centrifugal force where we want it. By Einstein's equivalence of gravity and inertia, this would be a lighter weight machine than the 20 ton machine some believe might move an earth impact body in time away from us by slow gravity as it was nearby.) To speed up the acceleration when the second block zoomed by, large lightweight magnets or electromagnets could be used to much increase the momentum sent between these massive bodies. A cheaper option might be a tether, the tether would be attached perhaps by first attaching it to one of the stones, then firing a rocket with the other end of the wire to the second comet or asteroid. When both were linked, and the masses move closer than perhaps 1000 feet, the tether would be loose, then tight when the comet continues, the tether would tighten sending momentum between the masses of the asteroid and comet, then the tether would be cut or released, so the slower comet doesn't slow down the one to accelerate.
In the best of all possible starship worlds these small worlds would have rare on earth minerals we don't mine here. The water they found on the moon is considered to be worth trillions (because it's cheaper rocket fuel and air and water to go to mars via than if it were boosted from earth to the moon) but by using the asteroid as a source, the price of it and all other terrestrial elements and compounds would be so economical more unusual minerals would be an option achieved via this vision, an option not otherwise available to us. When a watchdog runs round and round it's so it might wind up, some people save time with the stars when they are orbiting, and with so many rounds there are numbers mathmeticians haven't invented yet!
While Carl Sagan believed it might take 100s or a thousand years to colonize Mars by use of ways like bacteria to convert the carbon dioxide and light to water and oxygen by photosynthesis, I realized there are a lot of plants that generate heat, so the bacillus would be GE engineered to speed up the thaw. But much faster yet may be to first crash an icy comet into Mars, we would find water for oxygen and fuel, and many essential materials from the comet or asteroid of the right type. MORE About REENGINEERING MARS. They say life on mars would be hazardous due to solar radiation like the Van Allen Belts on Earth and not much field to shield the dwellers, it was believed by some that we might put a magnetic band like of iron around Mars, solving the radiation problem, cheaper by far may be to move small iron rich magnetic asteroids or magnetise them by first moving them into jupiters field, and then either crash them into mars before the arrival of settlers giving mars a shielding field, or just putting them in orbit around mars, replacing the band (that might be a hazard like the space elevator may be to satellites) with a more easily dodged radiation shield that would be like just another starship in orbit around mars, seen one seen the cosmos!
One thing to note about this use of moons, comets, and asteroids is that they would be a finite resource if crashed e.g. into mars to reengineer the atmosphere and surface, for heat ect. While these masses can be used over and over if not crashed into the sides of other worlds to suit our goals, it will be important to weigh in the value of the use of impacts because once all the main impactors were used up, if so no more would be found (other than perhaps in the Oort (sounds Like outer) Cloud or the Kuiper Belt.
Extrasolar Planets may actually be of Higher Risk. to us than asteroids because all the exoplanets they find are massive and have highly elliptical orbits. The asteroid defense method could by scaled up to even move a planet with a small, to medium to large asteroid to moon to planet (like Neptune) to then move the exoplanet away from impact with the solar system.
MOVING ASTEROIDS WITH INERTIA (08 7 4)..
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