There's a throwaway line in the first book where Epstein's prototype ship, still accelerating, is still visible in telescopes.A million tonne spaceship would have to be moving faster than the speed of light to have enough momentum to do the job. Eros has a mass of 6.69 trillion tonnes and is moving at nearly 25 km/s. Doing that requires you to hit the asteroid hard enough to cancel almost its entire orbital velocity.
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