ellipse (Johannes Keplar inspired)

thought freed from my inadequate twitter feed:
If the ellipse was invented by artists to describe a foreshortened circle. does that mean there are points in the solar system for each planet, where they appear to be traveling in a perfect circle around the sun?
For some reason i really would want to know where these points are.
…It sounds like plot for national treasure 3 (in the bad way).

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