# Closer to the sun

**Classical Mechanics**Level 4

Suppose the Earth's orbit is divided in two by its minor axis as shown in the figure. How much longer **in days** does the Earth spend in one half than the other? The eccentricity of an elliptical orbit is defined as
\[ e:=\frac{a}{c}\]
where \(c\) is the semi-major axis and \(a\) is the distance from the the center of ellipse to a focal point. For the Earth's orbit this number is
\[e=0.0167.\]