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Can the earth move in front of the sun in a helical model?

I have seen this video from Vsauce named "How Earth Moves" on YT regarding how the earth moves. I have two questions.

  1. Is the helical or spiral model shown in the video real or just a theory.
  2. In the model described (even if it is disproved), does the earth go in front of the sun and then back, then forth and back like it is shown on the video? I see both the sun and earth racing with each overtaking the other over and over. Am I seeing an illusion?

Thanks.