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Using an ephemeris and a table of houses an astrologer calculates relative positions of the sun, the moon, and the planets for specific time and place in order to erect a horoscope. This diagram, called a chart is a stylized map of the heavens. The sun or the earth is placed in the centre (depending on whether the ephemeris was heliocentric or geocentric) with the remaining elements around the outside: the planets, the lunar nodes, the ascendant and midheaven, and the houses. Then the angles between the planets are designated. These angles are the astrological aspects. Different systems of tri-secting arcs produce houses of different size. The calculation of a horoscope is a complex but purely technical skill normally carried out by computer software such as Astrolabe, Kepler, WinStar or ZET. There are websites which offer automated online astrology services too, such as Astro.com.

In order to understand and visualize the spherical geometry of how a horoscope is constructed, we need to begin with some basic terms.

The zodiac refers to a band on the celestial sphere containing the signs. It is centered on the plane of the ecliptic, and its width is sufficient to allow for the fact that the plane of the orbits of the moon and all other planets is not parallel to the plane of the ecliptic. It has a width of approximately 18?.