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                                                                             From Earth, Venus         From Earth, Venus is ahead
                                                                             is behind the Sun, so Venus  of the Sun, so Venus is the
                                                                             is the evening star       morning star when here.
                                                                             when here.     5        3







                                                                                               3   5



                                                                           A
                   FIGURE 15.20  The apparent position of Mars against the
                   background of stars as it goes through retrograde motion. Each posi-
                   tion is observed approximately two weeks after the previous position.



                                                                             Venus seen as the
                                                                             evening star
                                                                                                   Venus


                                                                                                             Venus






                                                                                                                Venus seen as
                                                                                                                the morning star
                                                                           B
                   FIGURE 15.21  The paths of Venus and the Sun at equal time   FIGURE 15.22  (A) The Ptolemaic system explanation of Venus
                   intervals according to the Ptolemaic system. The combination of   as a morning star and evening star. (B) The heliocentric system
                   epicycle and Sun movement explains retrograde motion with a   explanation of Venus as a morning star and evening star.
                   stationary Earth.


                   circles. To explain the occasional retrograde motion of the plan-  “star”) and other times seen near the Sun for a short time at
                   ets with this model, later Greek astronomers had to modify it by   sunset (the evening “star”) (Figure 15.22).
                   assuming a secondary motion of the planets. The modification   Over the years, inconsistencies of observed and predicted
                   required each planet to move in a secondary circular orbit as it   positions of the planets were discovered, and epicycles were
                   moved along with the turning sphere. The small circular orbit,   added to epicycles in an attempt to fit the system with observa-
                   or epicycle, was centered on the surface of the sphere as it turned   tions. The system became increasingly complicated, but it did
                   around Earth. The planet was understood to move around the   seem to agree with other ideas of that time. Those ideas were that
                   epicycle once as the sphere turned around Earth. The combined   (1) humans were at the center of a universe that was created for
                   motion of the movement of the planet around the epicycle as   them and (2) heaven was a perfect place, so it would naturally be
                   the sphere turned resulted in a loop with retrograde motion   a place of perfectly circular epicycles moving on perfect spheres,
                   ( Figure 15.21). Thus, the earlier model of the solar system,   which were in turn moving in perfect circles. Thus, the Ptol-
                   modified with epicycles, was able to explain all that was known   emaic system of a geocentric, or Earth-centered, solar system
                   about the movement of the stars and planets at that time.  came to be supported by the church, and this was the accepted
                      A version of the explanation of retrograde motion—   understanding of the solar system for the next 14 centuries.
                   perfectly circular epicycle motion on perfectly spherical turning
                   spheres—was published by Ptolemy in the second century a.d.
                   and came to be known as the Ptolemaic system. This system   THE HELIOCENTRIC MODEL
                   did account for the facts that were known about the solar sys-  The idea that Earth revolves around the Sun rather than the
                   tem at that time. Not only did the system describe retrograde   Sun moving around Earth was proposed by a Polish astrono-
                   motion with complex paths, as shown in Figure 15.21, but also   mer, Nicolas Copernicus, in a book published in 1543. In his
                   it explained other observations such as why Venus is some-  book, Copernicus pointed out that the observed motions of the
                   times seen for a short time near the Sun at sunrise (the morning   planets could be explained by a model of Earth and the other

                   396     CHAPTER 15  The Solar System                                                                15-20
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