Earth's orbit is an ellipse with ecentricity `0.0167`. Thus earth's distance from the sun and speed as it moves around the sun varies from day to day. This means that the length of the solar day is not constant through the year. Assume that earth's spin axis is normal to its orbital plane and find out the lenght of the shortest and the longest day. A day should be taken from noon. Does this explain variation of lenght of the day during the year?

Explanation

To solve the problem of finding the length of the shortest and longest solar day for Earth, we need to consider the elliptical nature of Earth's orbit around the Sun and how this affects the speed of Earth as it travels along its orbit.

### Step-by-Step Solution:

1. **Understanding Eccentricity and Orbital Shape**:
- The eccentricity of Earth's orbit is given as \( e = 0.0167 \). This indicates that Earth's orbit is very close to a circle but slightly elliptical.
- The distance from the Sun varies as Earth moves along its elliptical path.

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