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Originally Posted by testtubebaby
as the size of your ball (and thus, its gravity)
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WRONG!
In order for gravity to be the primary working force pulling objects into the katamari, the katamari would have to have a greater mass density than the Earth. but if this were true, the katamari would not easily roll across the surface of the Earth. mass density is mass / volume. the katamari has a much smaller volume than the Earth, and even most of the things it picks up. so to have a greater gravitational pull it would have to have a much greater mass than the Earth. Suppose the katamari has a volume that is 1 millionth of the Earth's volume. It's mass would then have to be 1 million + 1 times greater than the Earth in order for it to have a greater mass density. This would make it like a very small star, and it would probably just fall right through the Earth.
as it picks things up, its mass density would actually decrease. once the katamari has doubled in size, the volume has doubled but the total mass hasn't. thus the gravitational force decreases. once the katamari is some 800m, the volume has increased much more than the density. if the original katamari did have a greater mass density than the Earth, this probably would not matter. but if it didn't then it would have a great effect on its ability to pick up objects.
in my estimation, the driving force of the katamari cannot be gravity, but some other force must exist. i leave it to magic, or drugs.
