Why does earth's distance from the sun change?

Question
Answer 1

The Earth's orbit around Sun is under a central force that is inversely proportional to square of distance from Sun.The orbit is not a circle but an ellipse with Sun at one focus.

The distance #r# changes according to the formula
#l/r = 1 + e cos (theta)#
where #e# is the eccentricity of the ellipse,
#l = (("minimum distance")("maximum distance"))/("semi major axis of the ellipse")#.
#theta# is the inclination of Sun-Earth radius to least-distance radius.

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Answer 2

Thanks for the depiction. The Sun's distance CS = ae from center C is 1 in 60 of the semi-major a. So, for orbit on an A4 paper, S will be quite close to C.

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Answer 3
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