Estimate the time difference between the longest day and the shortest day of a year in seconds if you lived on the Earth's equator with the assumptions below.

Question

Note: this is not the difference between solstices as we are adjusting the earth's rotation axis to be in the orbital plane.

Details and assumptions
The furthest distance from the Sun to Earth is df=1.521×108 km.

The shortest distance from the Sun to Earth is ds=1.47×108 km.

To simplify the problem, assume that the Earth's axis is always perpendicular to the plane of its trajectory around the Sun.

Answer 1

http://www.jiskha.com/display.cgi?id=1370324553

Answer 2

answer=??????

Answer 3

2.57 s exactly

Answer 4

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Brilliant Maths Challenge Master

Answer 5

Sorry my mistake... Try 1.58 s