Not exactly, no. The ellipse (an oval shape, almost a circle but not quite) rotates slowly as well. One side of the “circle” is a bit farther away from the sun than the other side, and the line between the two is slowly spinning, moves around the sun. A lot slower than the earth moves, but because this “major” axis (the term for it) moves relative to the sun, the oval of the orbit also moves.
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