1 Notes on Stonehenge and Seasons 2b. The Ecliptic 15 The Babylonians determined the exact path of the sun through the zodiac constellations Stonehenge (2800 – 1500 B.C.) 2b.1 Ecliptic is the dashed line on your Starwheel 16 2b.2 17 Obliquity of the Ecliptic The Ecliptic is tilted 23½° to the equator (“obliquity”) Its NOT the same as the equator! 2b.3 Obliquity of the Ecliptic 18 2b.4 From Earth’s point of view 19 This is because the earth’s axis of rotation is tilted by 23½ degrees relative to the axis of its orbital revolution around the sun. Plane of the Earth’s orbit This is what gives us seasons. Around the sun Yellow Red is equator Black Blue is ecliptic Fig 1-6, p.24 1 2b.5 Ecliptic on Mercator Map 20 2c.1 Ecliptic Longitude 21 Ecliptic Longitude is measured eastward along the ecliptic, starting at 0 degrees at the First Point of Aries. Solstitial Colure Ascending Node of Sun (blue) is start of spring 90° 0° 2c.2 Ecliptic Longitude on Polar Map The sun moves about 1 degree east along the ecliptic each day. Equinoctial Colure 3a. The Seasons, and what causes them 40 The Earth’s axis of rotation is tilted 23° with respect to the Earth’s orbital plane. 0° 0° Spring Equinox 90° Summer Solstice 270° 180° Fall Equinox Solstitial Colure 270° Winter Solstice 90° Equinoctial Colure North Ecliptic Pole 22 Solstitial Colure 270° Equinoctial Colure 180° The orientation of the tilted axis remains the same as the Earth revolves around the Sun 180° Fig 3-4, p.64 C.1b Local Horizon 53 C.1c Local Horizon System 54 Prime Meridian is line from North to South through Zenith Fig 1-1, p.20 2 C.2a Daily Path of Sun 55 C.2b The Equinoctial Sun 56 •Spring (and Fall) Equinox, the sun is on the equator •Sunrise is due East •Sunset is due West •Transit is when sun crosses prime meridian •Sun Transits at “local noon”, at 52° above the horizon C.2b The Summer Sun 57 •Sun is on Tropic of Cancer, highest declination 23.5° •Sunrise is in North-East •Sunset is in the North-West •Transit is at 52+23=75° altitude angle (above horizon) •Length of day is around 15 hours C.2b The Winter Sun 58 •Sun is on Tropic of Capricorn, lowest declination -23.5° •Sunrise is in South-East •Sunset is in South-West •Transit is at 52-23=29° altitude angle (above horizon) •Length of day is about 9 hours Tropic of Cancer Tropic of Capricorn 59 2c.1 The Analemma 2c.2 Transit Times • Note Sun transits 12:08 pm on average at Santa Clara, because we are 8 minutes west of the center of the pacific time zone. • Equation of Time: Sun is as much as 20 minutes early/late due to elliptical orbit of earth, and obliquity of ecliptic. • Analemma: is the figure 8 plot of declination of sun vs equation of time 60 3 2c.3 Sun is a poor timekeeper • Sun moves further in Right Ascension near solstices than at equinoxes, makes sun get behind clock after both solstices • Also the day is longer than 24 hours when we are near the perihelion (sun moves faster on ecliptic). This is why the lower loop of the figure 8 is bigger in the analemma 61 3. Archeoastronomy 62 Stonehenge (2800 – 1500 B.C.) Fig 3-11, p.70 3a.1 Rising and Setting Points 63 Ancient astronomers would naturally put a rock on the ground to mark the extreme points on the horizon where the sun rises/sets each summer and winter 3b.2 “the avenue” points towards summer sunrise 3b.1 Stonehenge 3100 BC 65 • The stone circle was added 1000 years later! 66 3b.3 Heelstone in the Avenue 67 4 3b.4 Summer Solstice Sunrise 68 b). Stone Circles 17 Stone circles often have 29 stones + 1 xtra one off to side. Originally there were 30 “sarson stone” in the outer ring of Stonehenge 3b. Lunar Standstill 59 • Winter Full moon at major standstill will rise one arch to the north of the where the sun rises at summer solstice • At “Minor Standstill” it will rise in the arch to the right! 5
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