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Daytime Observing: Sun, Noon, South Sun Measurement - 01 • We measured at 10:35 am on Aug 27, 2014 • Length of the shadow of a meter stick was 1.25m • Trigonometry: 38.7 degrees (sig figs!) Sun Measurement - 02 • We measured at 2:40 pm on Aug 27, 2014 • Length of the shadow of a meter stick was 0.605m • Trigonometry: 58.8 degrees (sig figs!) Is this good or bad or what? • Compare to expected value: – Westerville location 40° N latitude – Celestial equator 90° off of that • “that” being North AND 40° above horizon – Sun’s celestial (not observer!) coordinates on January 29: +10°, i.e. north of Celestial Equator (see YourSky) – So: 40° + 90 °- 10° = 120° above N horizon = 60° above S horizon Yoursky: 10:40am: 41.4°, 2:40pm 56.4° Define Noon • I.e. agree on the word “noon” meaning (being equivalent to) “time when the sun reaches the highest altitude in the observer’s sky” • Note that this time is – different when you are further east or west – the same when you are further north or south • Note that the sun culminates in the North in the southern hemisphere! Define South • Either opposite of direction to the North Star • Or: direction in which the sun culminates Why are Polaris and the Sun in opposite directions? • They are not exactly, because “the north direction” and “the south direction” do not exist • Their positions are related because – the direction of Polaris defines the rotation axis of the celestial sphere – The sun is somewhere on the sphere – From a “skewed” perspective everything on the sphere culminates on the meridian Reminder: Observer Coordinates • Horizon – the plane you stand on • Zenith – the point right above you • Meridian – the line from North to Zenith to south What you see depends on where you are! • Your local sky – your view depends on your location on earth Look North in Westerville Look North on Hawai’i Constellation 1: Orion • “the Hunter” • Bright Stars: D) Betelgeuze E) Rigel • Deep Sky Object: i) Orion Nebula Constellation 2: Gemini • “the Twins” • zodiacal sign • Brightest Stars: I) Castor J=K) Pollux Constellation 3: Taurus • “the Bull” • zodiacal sign • Brightest Star: F) Aldebaran • Deep Sky Object: iii) Plejades Constellation 4: Ursa Major • Other name: Big Dipper • Stars: B) Dubhe C) Merak • Navigation: go 5 times the distance from Merak to Dubhe and you are at Polaris. Constellation 5: Ursa Minor • Other name: Little Dipper • α Ursa Minoris is Polaris [A], the pole star Constellation 6: Canis Major • “Big Dog” • Stars: H) Sirius (brightest fixed star) Constellation 7: Cancer • “Crab” • No bright Stars Constellation 8: Leo • “the Lion” • zodiacal sign • Brightest Star: G) Regulus Constellation 9: Cassiopeia • Greek mythological figure: mother of Andromeda • the big “W” in the sky • No bright stars Constellation 10: Pisces • “the Fishes” • Zodiacal sign • No bright stars Constellation 11: Pegasus • Greek mythological figure: the winged horse • big rectangle in the sky • No bright stars Constellation 12: Andromeda • Greek mythological figure: Daughter of Queen Cassiopeia and King Cepheus rescued from Cetus by Perseus • Deep Sky Object: Andromeda Galaxy Position: Angles vs. Distances • Locations in the sky are easy to measure: 2 angles • Distances from observer are hard (one length) Together they give the location of an object in three-dimensional space Angles and Angular Size • Angles measured in degrees – – – • full circle = 360; right angle = 90 1 = 60' (minutes of arc or arc minutes) 1' = 60" (seconds of arc or arc seconds) Typical angular sizes: – Moon 0.5, Sun 0.5, Jupiter 20”, Betelgeuse (α Ori) 0.05” The Trouble with Angles • Angular size of an object cannot tell us its actual size – depends on how far away it is • Sun and Moon have very nearly the same angular size (30' = ½) when viewed from Earth Angles and Size Without Distances … • We do not know the size of an object • This makes it hard to figure out the “inner workings” of an object • We can’t picture the structure of the solar system, galaxy, cosmos The most important measurement in Astronomy: Distance! • The distances are astronomical! • The distance scales are very different – – – – Solar system: light minutes Stars: light years Galaxies: 100,000 ly Universe: billions of ly • Need different “yardsticks”