7. A.Aveni, Tropical Astronomy, Science 1981 The Caracol: Maya observatory (Chichén Itzá, Yucatan-Mexico) viewing shaft These windows align with some astronomical sightlines: Venus rising at its northernmost southernmost positions, as well as the equinox sunset 5
8. A.Aveni, Tropical Astronomy, Science 1981 The Caracol: Maya observatory (Chichén Itzá, Yucatan-Mexico) viewing shaft These windows align with some astronomical sightlines: Venus rising at its northernmost southernmost positions, as well as the equinox sunset Since Venus’s orbit is tilted 4º with respect to the ecliptic, its position shifts against the horizon, the northernmost and the southernmost positions correspond to the farthest northern and southern points above the celestial equator. 5
9. N. Strobel, Astronomy without a telescope The Caracol: Maya observatory (Chichén Itzá, Yucatan-Mexico) These windows align with some astronomical sightlines: Venus rising at its northernmost southernmost positions, as well as the equinox sunset Since Venus’s orbit is tilted 4º with respect to the ecliptic, its position shifts against the horizon, the northernmost and the southernmost positions correspond to the farthest northern and southern points above the celestial equator. 5
10. Staircase almost perfect match with Venus setting at its northernmost position The building diagonal is aligned with winter and summer solstices The Caracol: Maya observatory (Chichén Itzá, Yucatan-Mexico) 5
11. El Castillo: Pyramid of Kukulkán (Chichén Itzá, Yucatan-Mexico) 1. At the equinox sunsets, a play of light and shadow creates the appearance of a snake that gradually undulates down the stairway of the pyramid. 6
12. El Castillo: Pyramid of Kukulkán (Chichén Itzá, Yucatan-Mexico) 1. At the equinox sunsets, a play of light and shadow creates the appearance of a snake that gradually undulates down the stairway of the pyramid. this sinuous shadow joins with one of the snake-head sculpture carved into the base of the monument 6
13. El Castillo: Pyramid of Kukulkán (Chichén Itzá, Yucatan-Mexico) 1. At the equinox sunsets, a play of light and shadow creates the appearance of a snake that gradually undulates down the stairway of the pyramid. this sinuous shadow joins with one of the snake-head sculpture carved into the base of the monument 2. It was used as calendar: each of the 4 stairways has 91 steps + 1 step on the top = 365 steps 6
14. El Castillo: Pyramid of Kukulkán (Chichén Itzá, Yucatan-Mexico) 1. At the equinox sunsets, a play of light and shadow creates the appearance of a snake that gradually undulates down the stairway of the pyramid. this sinuous shadow joins with one of the snake-head sculpture carved into the base of the monument 2. It was used as calendar: each of the 4 stairways has 91 steps + 1 step on the top = 365 steps 3. the west plane faces the zenith passage with a precision within 1º 6
15. Maya astronomy From this information, they developed calendars to Keep track of celestial movements: their solar calendar was more precise than the present Gregorian calendar. Maya were skilled observers of the sky: they calculated the complex motions of the Sun, the stars and planets and recorded this information in their codices (“Dresden Codex”). 9 Venus had been recognized as morning and evening star! Greek astronomers had recorded Venus as two different stars. Modern (day) Maya (day) Lunar period 29.53059 29.53086 Solar period 365.2420 365.2466 Mars period 779.94 780 Venus period 583.93 583.9203
16. Skywatchers Venus: morning and evening star Venus is an inferior planet: it has phases as the Moon Inferior conjunction Superior conjunction 8 Heliacal rise=Sun and Venus rise together. After heliacal rise, Venus rises before the sunrise: morning star. After superior conjunction, Venus rises after the sunrise, so set after the sunset: evening star. Dresden Codex (day) Modern (day) Morning star (after heliacal rise) 236 263 Invisible (superior conjunction) 90 50 Evening star 250 263 Invisible (inferior conjunction) 8 8 Total 584 584
17. Maya astronomy From this information, they developed calendars to keep track of celestial movements: their solar calendar was more precise than the present Gregorian calendar. Maya were skilled observers of the sky: they calculated the complex motions of the Sun, the stars and planets and recorded this information in their codices (“Dresden Codex”). 7 It seems incredible! But we have forgotten what can be achieve by careful naked eye observation using simple instruments. Modern (day) Maya (day) Lunar period 29.53059 29.53086 Solar period 365.2420 365.2466 Mars period 779.94 780 Venus period 583.93 583.9203
18. Marking time without instruments Gnomons, simple long sticks located on a plate, were already used by Greek astronomers . To determine the solstice day is rather easy only by studying shadows: at summer solstice the Sun is at its highest point and the shadows it casts are the shortest; vice versa at winter solstice. At the beginning, gnomons were used as sundials (by dividing the plate into equal intervals), as well as to establish cardinal directions (south=the position of the shortest shadow of a day) and as calendar (by dividing the period between two solstices into intervals, each of one characterized by a particular shadow length) Maya used the zenith passage which are characterized by shadowless moments as reference day. 11 no thickness gnomon
19. The zenith-horizon system At temperate zones, the observer views circulatory motion. In this case it is simpler using the celestial pole and the celestial equator as reference lines. The horizon functions as fundamental reference line, together with the zenith. Here star motion is vertical. The sun can be observed at zenith at the equinoxes. Tropics are the maximum latitudes at which the Sun can be observed at zenith: ZENITH PASSAGES. 10 N. Strobel, Astronomy without a telescope
20. Zenith Tubes There is no evidence that gnomons were used by Maya, but they used “ zenith tubes” to identify the shadowless moment. These tubes admit the Sun’s image to pass vertically into a darkness chamber A.Aveni, Tropical Astronomy, Science (1981) At the ruins of Xochicalco, Mexico, a 8 m long perfect straight tube, which opens into a roundish chamber (10 m diameter), was found. The cross section of this tube is hexagonal with a 2.5º of FOV. 12
21. Sun-Moon angle 0º (new phase) SOLAR ECLIPSE Sun-Moon angle 180º (full phase) LUNAR ECLIPSE When an eclipse occurs? AND Moon at the line of nodes intersection of the Moon’s orbit with the ecliptic twice a year at different dates Moon’s orbit precesses 13
22. Stonehenge: an eclipse predictor only when, not where G. Hawkins, The Stonehenge Decoded, Nature 1963 Full moon 14 + 4 markers
23. Stonehenge: an eclipse predictor only when, not where G. Hawkins, The Stonehenge Decoded, Nature 1963 Full moon 14 + 4 markers 56 a perfect number! 56/2=28 Moon’s orbit is 27.322days Moon marker – twice a day and skip one each cycle
24. Stonehenge: an eclipse predictor only when, not where G. Hawkins, The Stonehenge Decoded, Nature 1963 Full moon 14 + 4 markers 56 a perfect number! 56/2=28 Moon’s orbit is 27.322days Moon marker – twice a day and skip one each cycle 56*6.5=364 Earth’s orbit is 365.25 days Sun marker – every 6.5 days and during solstices half more
25. Stonehenge: an eclipse predictor only when, not where G. Hawkins, The Stonehenge Decoded, Nature 1963 Full moon 14 + 4 markers 56 a perfect number! 56/2=28 Moon’s orbit is 27.322days Moon marker – twice a day and skip one each cycle 56*6.5=364 Earth’s orbit is 365.25 days Sun marker – every 6.5 days and during solstices half more 56/3=18.66 Orbit of Nodes is 18.61 y Node markers – every four months
26. Stonehenge: an eclipse predictor only when, not where G. Hawkins, The Stonehenge Decoded, Nature 1963 Full moon 14 + 4 markers Solar eclipse: Moon, Sun and a node in the same position Lunar eclipse: the Sun and a node opposite to the Moon and the other node
30. When the gnomon has a finite thickness, there will be two dial centers and double noon lines. The double noon lines are spaced a distance equal to the thickness of the gnomon and this space is known as the noon gap.