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Latitudes and Longitudes - Ciência Viva

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8<br />

• Find Cape Verde on the globe. Why do the inhabitants of Cape Verde sometimes see the midday sun in the<br />

north <strong>and</strong> at other times in the south?<br />

• Find the Equator <strong>and</strong> the north-south axis on the globe. Light up the globe with a lamp <strong>and</strong> tilt the axis slightly<br />

towards the light so that the area around the North Pole, outlined by the Arctic Circle, is lit up. Place a pencil<br />

against the globe <strong>and</strong> move it vertically on the globe.<br />

• As you can see, there is a point where the pencil casts no shadow. Now find the Tropic of Cancer on the globe<br />

<strong>and</strong> place the pencil against it. Tilt the axis so that there is no shadow when the pencil is on the Tropic of Cancer.<br />

The axis of the globe is now inclined 23º 30’ relative to the vertical. For anyone who is st<strong>and</strong>ing on the surface<br />

of the Earth at the point where the pencil meets the globe <strong>and</strong> who can see the sun in the position of the lamp,<br />

it is midday on June 21st .<br />

• If you move the pencil to the north, its shadow will point north <strong>and</strong> the Sun will be to the south. If you move<br />

the pencil towards the sun, its shadow will point south because the midday sun is to the north.<br />

North Pole<br />

Winter<br />

Summer<br />

Tropic of Cancer<br />

South Pole<br />

Equator<br />

Tropic of Capricorn<br />

• But if you tilt the axis in the opposite direction so that it is winter in the Northern Hemisphere, the pencil shadow<br />

will still point north in Cape Verde <strong>and</strong> in Lisbon.<br />

• So those who can see the midday sun to the north or to the south at different times of the year live between<br />

the Tropic of Cancer <strong>and</strong> the Tropic of Capricorn.<br />

• The answer to our question is simple. As the north-south axis of the Earth is inclined relative to the plane of<br />

the Earth’s orbit, the midday sun on the first day of summer south of the Tropic of Cancer will be in the north.<br />

But in the autumn, between the Equator <strong>and</strong> the Tropic of Cancer, the midday sun will be in the south.<br />

Eratosthenes was born 2274 years ago in the city of Cyrene in present day Libya. While he was running the famous Library of<br />

Alex<strong>and</strong>ria in Egypt, he noticed that on the June solstice in the Northern Hemisphere, a vertical stick in the city of Siena, 800 km<br />

to the south of Alex<strong>and</strong>ria, cast no shadow at midday. Then based on experiments with stick shadows, he calculated the length<br />

of the Equator <strong>and</strong> began to include leap years in the Greek calendar.

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