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I've been reading about the Earth's analemma from Wikipedia, and I am having trouble visualizing one component. Let's build up to my question.

  1. If the Earth had a circular orbit and no axial tilt, the analemma would be a dot.

  2. If the Earth had an eccentric orbit and no axial tilt, the analemma would be a east-west line.

  3. If the Earth had a circular orbit and axial tilt, the analemma would be symmetric figure eight.

My question: In situation 3, I understand the north-south variation of the symmetric analemma, but I don't understand why there would be symmetric east-west variation.

Why does the Earth's axial tilt create an east-west variation in the analemma?

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