From Kepler's second law, "A line segment joining a planet and the Sun sweeps out equal areas during equal intervals of time."
Verifying on a seasonal orbit diagram for March, we are indeed closer to the periapsis than the apoapsis.
Working backwards from experimental data may have resulted in deducing an elliptical orbit, eventually leading to how these laws were established.
source: http://upload.wikimedia.org/wikipedia/commons/thumb/f/f0/Seasons1.svg/2000px-Seasons1.svg.png
http://en.wikipedia.org/wiki/Kepler%27s_laws_of_planetary_motion
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