Cruithne, as I understand it, is more like a minor planet, since it orbits the sun. It’s really really small, so we would feel the effects of Jupiter long before Cruithne, but we certainly affect it!
Cruithne is a little rock that happens to orbit the sun at the same rate as Earth does: i.e. once per year. It’s not a moon as it doesn’t orbit Earth. Every few hundred years its orbit brings it reasonably close to Earth but its gravity will only move the Earth by a couple of centimeters! Nothing to worry about 🙂
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