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

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.

To complete the horoscope the astrologer will consider the aspects or relative angles between pairs of planets. Certain aspects carry greater importance. Those generally recognized by the astrological community are conjunction (0?), opposition (180?), square (90?), trine (120?) and sextile (60?). Other aspects of less importance are recognized by some. Understandably these aspects are more significant when they are exact, but they are considered to function within an orb of influence. The size of that orb will vary according to the importance of the particular aspect. Thus conjunctions are believed to operate over a larger orb than sextiles. Usually modern astrologers use an orb of 10? or less.