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908 ENERGY COLLECTED AND DELIVERED BY PV MODULES<br />

N<br />

23.45°<br />

N<br />

Mar 21<br />

N<br />

S<br />

June 21<br />

S<br />

N<br />

Sep 21<br />

Dec 21<br />

S<br />

S<br />

Figure 20.2<br />

The orbit of the Earth around the sun<br />

Zenith<br />

f−d<br />

Day<br />

d<br />

Celestial<br />

north pole<br />

Night<br />

d<br />

f<br />

Equator<br />

Celestial<br />

south pole<br />

Figure 20.3 Relative Earth–Sun position at noon of a negative declination day (winter in the<br />

Northern Hemisphere, and summer in the Southern Hemisphere)<br />

the sun is situated directly above the Tropic of Cancer, and sunrise and sunset are displaced<br />

towards the north-east and north-west, respectively. In the Northern Hemisphere,<br />

the summer solstice is when the longest day and shortest night of the whole year occur.<br />

In the Southern Hemisphere, it is the opposite. On the winter solstice (21st/22nd December)<br />

δ =−23.45 ◦ , the sun is directly above the Tropic of Capricorn, and sunrise and<br />

sunset are displaced towards the south-east and south-west, respectively. In the Northern<br />

Hemisphere, this is the shortest day and longest night of the whole year, and again, the<br />

opposite is true in the Southern Hemisphere.<br />

A classic way of representing the sky is as a sphere centred on a fixed point of<br />

the Earth, as indicated in Figure 20.4. This is known as the celestial sphere. Each of its

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