Ancient Planetary Astronomy Ptolemy Ptolemy Geocentric Solar System Copernicus PTYS/ASTR 206 Ancient Planetary Astronomy 1/16/07System Heliocentric Solar Galileo Announcements • The first homework assignment is on the course website – Due January 25 – Start early! • Starry Night Backyard software program – The CD is in the back of the book – it is a blue CD, right behind the yellow one (there are 2 CDs that accompany the textbook!) • Preceptors – Please fill out a preceptor application. – It would be very helpful if you would also give me your schedule on the back of the application • Mission updates – Extra credit (tbd) for an informal and brief (~5 minute) presentation of a current (or past) mission or other topic related to the class • LPL Public Lecture Series – There will be some extra credit (tbd) given to attend these – This 206 is a great opportunity to Planetary learn about cutting-edge research at the UofA! PTYS/ASTR Ancient Astronomy – See www.lpl.arizona.edu/COLPL for details 1/16/07 Today’s Topics • Preliminary info – Powers-of-ten notation – Units and unit conversion – Speed, time, velocity • Ancient Planetary Astronomy – – – – Ancient Greeks Retrograde motion Ptolemaic model of the solar system Parallax • The Copernican revolution – A long-standing Earth-centered view of the solar system is turned on its head with the invention of the telescope – Phases of Venus PTYS/ASTR 206 Ancient Planetary Astronomy 1/16/07 Powers-of-ten notation is a useful shorthand system for writing numbers PTYS/ASTR 206 Ancient Planetary Astronomy 1/16/07 Common Prefixes Factor (billion) 109 Name Giga- Symbol G (million) (thousand) (hundredth) (thousandth) 106 103 10-2 10-3 Megakilocentimilli- M k c m (millionth) (billionth) 10-6 10-9 micronano- n PTYS/ASTR 206 Ancient Planetary Astronomy 1/16/07 Powers of ten manipulation • 128 Billion miles = 128x109 miles = 1.28x1011 miles • 20 milliseconds = 20 x 10-3 seconds = 2x10-2 seconds • 6000 x 20000 = (6x103) x (2x104) = 12x107 = 1.2x108 PTYS/ASTR 206 Ancient Planetary Astronomy 1/16/07 Some common units used by planetary scientists • Distance – Between the planets → AU • 1AU = mean distance between Earth and Sun – Size of craters and other features on planets → km • Mass → kg – Note that mass is different from weight – Weight is the force exerted by gravity • Will depend on where you are (you would weigh less on the Moon and Mars) • Speed → km/s • Temperature → K (Kelvin), C (Centigrade), or F (Fahrenheit) PTYS/ASTR 206 Ancient Planetary Astronomy – Kelvin (K) is the most common 1/16/07 Speed, Distance, and Time • Distance traveled = speed x time • Basic algebra gives two other formulas from this: – Average Speed = total distance traveled / time – Time it takes = total distance traveled / speed PTYS/ASTR 206 Ancient Planetary Astronomy 1/16/07 An Example • When Voyager 2 spacecraft sent back pictures of Neptune (the most distant planet in our solar system) in 1989, the radio signals took 4 hours to reach Earth. How far away was the spacecraft? PTYS/ASTR 206 Ancient Planetary Astronomy 1/16/07 An Example • When Voyager 2 spacecraft sent back pictures of Neptune (the most distant planet in our solar system) in 1989, the radio signals took 4 hours to reach Earth. How far away was the spacecraft? • The correct formula to use is: PTYS/ASTR 206 Ancient Planetary Astronomy 1/16/07 An Example • When Voyager 2 spacecraft sent back pictures of Neptune (the most distant planet in our solar system) in 1989, the radio signals took 4 hours to reach Earth. How far away was the spacecraft? • The correct formula to use is: (3x108 m/s) x (4 hours) PTYS/ASTR 206 Ancient Planetary Astronomy 1/16/07 An Example • When Voyager 2 spacecraft sent back pictures of Neptune (the most distant planet in our solar system) in 1989, the radio signals took 4 hours to reach Earth. How far away was the spacecraft? • The correct formula to use is: (3x108 m/s) x (4 hours) (3x108 m/s) x ( 0.001 km/m) x (4 hours) x (3600 s/hour) PTYS/ASTR 206 Ancient Planetary Astronomy 1/16/07 An Example • When Voyager 2 spacecraft sent back pictures of Neptune (the most distant planet in our solar system) in 1989, the radio signals took 4 hours to reach Earth. How far away was the spacecraft? • The correct formula to use is: (3x108 m/s) x (4 hours) (3x108 m/s) x ( 0.001 km/m) x (4 hours) x (3600 s/hour) 4.32 x 109 km PTYS/ASTR 206 Ancient Planetary Astronomy 1/16/07 Revolutions in Planetary Science • Greek Philosophy (500 BC-200 AD) – Greece, Turkey, Egypt, Syria – Systematic philosophy – Knew that Earth is a sphere206 PTYS/ASTR • Copernican Revolution (1500-1700 AD) – Europe – Modern telescopes Ancient Planetary Astronomy 1/16/07 • Age of spacecraft (1960-present) Ancient Greek Astronomy • The word “planet” is derived from a Greek word meaning wanderer – They recognized that the planets did not stay stationary relative to the background of stars • Only 5 were visible to the naked eye – Mercury, Venus, Mars, Jupiter, and Saturn • They were able to measure the size of the Earth and the relative distances between the Earth, Moon, and Sun • They knew the Earth to be a sphere PTYS/ASTR 206 Ancient Planetary Astronomy 1/16/07 The Ancient Greeks were able to measure the size of the Earth LIGHT RAYS FROM SUN • Erotosthenes (276197 BC) – Accurately measured the size of the Earth using simple geometry and the assumption of a spherical Earth PTYS/ASTR 206 Deep Well at Syrene post at Alexandria (which casts a shadow) Erotosthenes method: Ancient Planetary Astronomy 1/16/07 • Ancient astronomers believed the Earth was the center of the Universe. – Plato’s views of celestial bodies moving in perfect circles guided much of this thinking – Some did consider the helio- (or Sun-) centered system. • Aristarchus advocated the suncentered system because the Sun was so big, it had to be at the center! His views were not accepted, however. Ancient Greek Astronomy "At the centre, they [the Pythagoreans] say, is fire, and the earth is one of the stars, creating night and day by its circular motion about the centre." -- in Aristotle’s “Of the Heavens” PTYS/ASTR 206 Ancient Planetary Astronomy 1/16/07 Aristotle dismissed the heliocentric system he saw no parallax PTYS/ASTR 206 Ancient Planetary Astronomy 1/16/07 Parallax Shift Only small apparent shifts can be seen using the Earth’s rotation to change the observing point. Larger shifts can be seen using Earth’s orbit around the Sun (but still to small to be noticed without a telescope) PTYS/ASTR 206 Ancient Planetary Astronomy 1/16/07 Retrograde motion of planets • When observed from one night to the next, a planet appears to move from West to East against the background stars most of the time. • Sometimes it will appear to reverse direction. For a short time, it moves from East to West against the background constellations. • This reversal is known as retrograde motion. All planets exhibit this behavior as seen from Earth. It is due to the relative motion of Earth and PTYS/ASTR 206 Ancient Planetary Astronomy the planet. 1/16/07 Ptolemy • Egypt (~127-145 AD) – Not much known about his life. – Used the concept of Epicycles to explain the motion of the Sun and planets crater Ptolemeaus Consolidated Lunar Atlas PTYS/ASTR 206 Ancient Planetary Astronomy 1/16/07 PTYS/ASTR 206 Ancient Planetary Astronomy 1/16/07 Ptolemy’s Universe • The epicycle picture explains the retrograde motion of the planets • This picture lasted 1000 years! – Newton’s physics has only been around for about 400 years and Einstein has already corrected it ! • But, as we now know, it is flawed. PTYS/ASTR 206 Ancient Planetary Astronomy 1/16/07 The inner planets • Venus is only seen easily (when it is dark outside) in the morning or evening – The ancients first thought that the morning/evening stars were different objects – Pythagoras was the first to note that they were the same object -- Venus • Their orbits must be between that of the Earth and Sun The Same is True for Mercury PTYS/ASTR 206 Ancient Planetary Astronomy 1/16/07 PTYS/ASTR 206 Ancient Planetary Astronomy 1/16/07 The Copernican Revolution A short list of key people PTYS/ASTR 206 Ancient Planetary Astronomy 1/16/07 Nicholas Copernicus • 1473-1543, Polish • Re-proposed heliocentric theory • Put the Sun at the center, but still believed the orbits of the planets were circles + epicycles • He felt that this was a more natural explanation of the solar system PTYS/ASTR 206 Ancient Planetary Astronomy 1/16/07 Ptolemy vs. Copernicus Solar Systems Path of Mars in the sky (Ptolemy’s epicyles) Path of Mars in the sky (Copernicus’s system) PTYS/ASTR 206 Ancient Planetary Astronomy 1/16/07 Today’s in-class activity • You may work together in small (2-3 people) groups – You must hand in your own work • Note the scoring system • After the activity is turned in, we will toss a coin to decide if it will be graded – Heads – it is graded – Tails – it will not be graded PTYS/ASTR 206 Ancient Planetary Astronomy 1/16/07