Astronomy 1 – Fall 2014 UCSB Astro 1 - Martin 1 Lecture 1; October 2, 2014 Astronomy 1 • Lectures: – T/R 2:00-3:15 • Instructor office hours: – Prof. Crystal Martin • T 3:15-:400 & W 9:15-10:30; Broida 2015D • Email: starprof@physics.ucsb.edu – Email to other addresses will be directed to junk folder and never read. UCSB Astro 1 - Martin 2 Astronomy 1 • Textbook: – Universe 10th edition R.A. Freedman, Geller, and Kaufmann • I will use iclickers – Available from bookstore – Buy your iClickers and register them online before Tuesday’s class – iClickers are used to assign points for class participation • You just need to reply: it does not matter if you give the right answer! • Website: web.physics.ucsb.edu/~astro1/fall2014 • Lecture notes and homework assignments can be found on the website. UCSB Astro 1 - Martin 3 Astronomy 1 • Study Tips – It is recommended to read the material before lecture. • Reading assignments are listed on the course website. • You are responsible for assigned reading even if I don’t cover that material in class. – Homework problems are assigned each lecture and due on the following Monday. • Homework assignments are listed on the course website. • Do all the review questions for each chapter that we cover. – Bring your questions to Discussion Section and/or Office Hours. – Only a subset of the homework problems can be graded each week. – Review the solutions to all the problems. – Focus on understanding the physical concepts and critical thinking rather than rote memorization. UCSB Astro 1 - Martin 4 Astronomy 1 • Teaching Assistants and office hours (in PSR): – Stephanie Ho – see website – Owen Colegrove – see website • Discussion Sections: – – – – – – – F 9-9:50am (BSIF 1217, Colegrove) W 1-1:50pm (GIRV 1112, Ho) W 4-4:50pm (BSIF 1217, Colegrove) W 5-5:50pm (BSIF 1217, Ho) W 6-6:50on (BSIF 1217, Colegrove) M 4-4:50pm (BSIF 1217, Ho) Honors W 8-9:15am • Bring a calculator to the section. UCSB Astro 1 - Martin 5 Astronomy 1 • Grades as in Table. If class performs badly I will renormalize the grades • Grading: – 25% Homework and Discussion Section Participation – 5% Class participation – 15% Midterm-1 (October 28, 2014; 2-3:15pm) – 15% Midterm-2 (December 2, 2014; 2-3:15pm) – 40% Final exam (December 16, 2011; 4-7PM) UCSB Astro 1 - Martin A+ 95% C+ 60% A 90% C 55% A- 85% C- 50% B+ 80% D 40% B 75% F <40% B- 70% 6 Astronomy 1 • Read polices listed on course syllabus. • Please note that there will be no early or make-up exams. – You can miss up to 2 lectures and1 discussion section without penalty. • Turn in homework by 6pm Monday. Use the drop box. – No late homework will be accepted. – I will drop your lowest homework score. • I expect the highest level of academic integrity from you. – First offense earns you a zero for the course. – Example: Surf’s up. You send your iclicker to lecture with your roommate. What grade do you get for the class? Your roommate? • What you might think of as “joking around” can be a serious problem if it inhibits others from participation. – This includes, but it is not limited to, comments that question the ability of others to learn the material. – This behavior is prohibited by the UCSB Code for Student Conduct in which it is considered a form of hazing UCSB Astro 1 - Martin 7 Hazing and Harassment: where to report • • • • Professor in charge (me) Any department faculty Faculty undergraduate advisor Director of Judicial Affairs, Stephan Franklin (893 4569, franklin-s@sa.ucsb.edu) • UCSB office of equal opportunity and sexual harassment/Title IX compliance (893-5410, kristen.gibson@oeosh.ucsb.edu) UCSB Astro 1 - Martin 8 Astronomy 1 • Waitlist: – http://registrar.sa.ucsb.edu/waitlist.aspx – Attend lecture and discussion session or you will be dropped from the waitlist. – Adds made at end of second week. • Now, let’s get on with Astronomy 1 which is all about understanding our place in the Universe. UCSB Astro 1 - Martin 9 Astronomy 1 – Three goals • Understand the scientific method – what is science? What is NOT science • Improve your understanding of the universe – what are planets, stars, and galaxies? • Learn to understand the language of science – words and numbers. UCSB Astro 1 - Martin 10 Goal 1 - What is science? Example. Is astrology science? Let’s discuss UCSB Astro 1 - Martin 11 Methodological introduction • Demarcation: what is science? • Falsification: how do you test scientific theories? – Measurements and errors • Repeatibility: – Determinism and probability – The unexplained and the supernatural • Corroboration: what is a “good” scientific theory UCSB Astro 1 - Martin 12 Demarcation: what is science? • We need to define what is science. Common methodology: – INTERACTION – QUALITY CONTROL • In the same way, we need to agree on the meaning of words in order to have a conversation. • The solution has to be a CONVENTION – dependent on history and culture • DEMARCATION DOES NOT IMPLY RANK. ONE DISCIPLINE IS NOT BETTER THAN ANOTHER UCSB Astro 1 - Martin 13 Demarcation: Popper’s solution • The currently agreed solution to the demarcation problem is very well described by Karl Popper: Science is falsifiable via experiments • THE ESSENCE OF SCIENCE IS THAT IT CAN BE PROVEN WRONG • TODAY ALL PRACTICING SCIENTISTS ADHERE TO THIS CONCEPT UCSB Astro 1 - Martin Karl Popper 1902-1994 14 Scientific model or theory • A scientific theory is a logically self-consistent model or framework for describing the behavior of a related set of natural or social phenomena. • In general it originates from experimental evidence • It is always corroborated by experimental evidence, in the form of successful empirical tests. • In this sense a theory is a systematic and formalized expression of all previous observations that is predictive, logical and testable (falsifiable). • Scientific theories are always tentative, and subject to corrections or inclusion in a yet wider theory. A model does not aspire to be a “true” picture of reality. UCSB Astro 1 - Martin 15 Example: gravity, from Newton to Einstein UCSB Astro 1 - Martin 16 Example: gravity, from Newton to Einstein • 1919 solar eclipse measurement: 1.61+-0.40” • Einstein 1.75”; NewtonUCSB 0.875” Astro 1 - Martin 17 Measurements • Measurements must be REPEATABLE • Measurements have errors – A measurement without an error is meaningless – EVERY MEASUREMENT HAS ERRORS – HOW TALL ARE YOU? UCSB Astro 1 - Martin 18 Probability and science • The results of experiments are often cast in terms of probabilities. • The same is true for scientific theories: Probabilistic predictions are not in conflict with the empirical method because they can be falsified UCSB Astro 1 - Martin 19 Heisenberg’s uncertainty principle • • • • • What does it mean? NOT that science is not precise It means that some quantities cannot be determined simultaneously with infinite precision. For example the uncertainty on position and momentum (~speed) is larger than ΔxΔp=h/2π UCSB Astro 1 - Martin 20 A “good” scientific theory • What constitutes a “good” scientific theory? • If a theory can never be proven right, how is one theory better than another? • According to Popper: – The better theory is the one that passes more stringent tests, both in number and in quality – The better theory is the more falsifiable one, if it doesn’t fail • Old theories often become limiting cases of new theories – (e.g. Newton vs Einstein) UCSB Astro 1 - Martin 21 How about validating the method? • • • • What constitutes a “good” method? Is the scientific method good? Does the question even make sense? My view is that a method is good as long as it allows you to achieve what you want. What do you want? • The scientific method answers some questions/obtain some results. What are they? • If we need to answer other questions we need different tools. UCSB Astro 1 - Martin 22 Goal 2 – The big picture UCSB Astro 1 - Martin 23 1.28 X 104 km UCSB Astro 1 - Martin 24 UCSB Astro 1 - Martin 25 Our solar system UCSB Astro 1 - Martin 26 Stars in our galaxy UCSB Astro 1 - Martin 27 More stars.. UCSB Astro 1 - Martin 28 Our galaxy. What is it? UCSB Astro 1 - Martin 29 Our Milky Way UCSB Astro 1 - Martin 30 Where are we in our Galaxy? • Somewhat in the outskirts… • 25,000 ly away from the center • Moving at about 200 km/s around the center of the Milky Way • TRUMPLER’s (1930) discovery of dust UCSB Astro 1 - Martin 31 External Galaxies 1 - Martin What are they? How farUCSB are Astro they? How big are they? 32 What are galaxies? • Until 1923 there was a debate on the distance of “nebulae” (galaxies) • Are they small objects inside our galaxy or are they “external”? • Hubble settled this by measuring the distance to Andromeda – A whopping 2.5 million light years! UCSB Astro 1 - Martin 33 The Universe is full of galaxies! Astro - Martin1/150,000 of the sky 10,000 galaxies in a tiny UCSB piece of1 sky! 34 How many galaxies? Astro 1 - Martin 35 Based on the deep fields weUCSB estimate of order a billion visible galaxies Large scale structures Billions of light years SDSS and 2dF mapped the UCSB positions of about 1,000,000 galaxies 36 Astro 1 - Martin Goal 3 - Scientific language UCSB Astro 1 - Martin 37 Powers of 10: large numbers Exponent tells how many times to multiply a number by itself: 102 = 10×10 = 100 100 = 1 101 = 10 102 = 100 103 = 1000 106 = 1,000,000 (one million) 109 = 1,000,000,000 (one billion) 1012 = 1,000,000,000,000 (one trillion) A positive exponent on the number 10 tells you how many zeros are in the number. UCSB Astro 1 - Martin 38 Powers of 10: small numbers Negative exponents tell how many times to divide by ten: 10-2 = 1/10 × 1/10 = 1/102 = 0.01 100 = 1 10-1 = 1/10 =0.1 10-2 = 1/10×1/10 = 0.01 (one hundredth) 10-3 = 1/10×1/10×1/10 = 1/103 = 0.001 (one thousandth) 10-4 = 0.0001 (one ten-thousandth) 10-6 = 0.000001 (one millionth) You can also think of the negative exponent as how many decimal places are in the number. UCSB Astro 1 - Martin 39 Scientific notation A way of expressing large or small numbers 2,230,000 = 2.23 ×1,000,000 = 2.23×106 0.0095 = 9.5 × 0.001 = 9.5×10-3 To use scientific notation on your calculator, use the EE or EXP key. For example, 2.23 EE 6. UCSB Astro 1 - Martin 40 Length (in Meters) UCSB Astro 1 - Martin 41 Dimensional quantities have units • How much does your Universe textbook weigh? • How tall are you? • Although units are arbitrary, dimensions are not! • If you quote a length it should be in units of length, so time etc etc. You cannot be 5 hours tall! UCSB Astro 1 - Martin 42 Standard Units in Astronomy • The standard system of units is the so-called international system (SI), based on meters, kg, seconds • The system is convenient because conversion are trivial in exponential notation: – 1 km = 1000 m vs 1 mile = ?? feet? • Astronomy often uses non SI units for historical reasons. • For example 1 solar mass ~ 2e30 Kg • When in doubt convert to SI UCSB Astro 1 - Martin 43 Example: length Astronomers use the metric system (meters for distance or length). But sometimes it is convenient to use other units. The average distance from the Earth to the Sun is called an astronomical unit. 1 AU = 1.496×108 km The distance light travels in a year is a lightyear (ly). The nearest star, Proxima Centauri is 4.2 lyr away, so the light we see today left it 4.2 years ago. Note that a lightyear is a unit of distance, not time. The farthest thing you can see with your naked eye is M33, the Pinwheel Galaxy, 3 million lightyears away. What is the distance to the Sun in light minutes? UCSB Astro 1 - Martin 44 Angles UCSB Astro 1 - Martin 45 UCSB Astro 1 - Martin 46 Degrees are divided into 60 (arc)minutes (Arc)minutes are divided into 60 (arc)seconds UCSB Astro 1 - Martin 47 UCSB Astro 1 - Martin 48 Turning an angular distance (α) into a linear distance (D) First need to know how far away the object is (d). D = 206265 ad The angle α must be in arcseconds. The distances can be in any unit, as long as they are the same. Example: What is the linear diameter of the moon if it is half a degree wide, and 400,000 km away? æ 60' öæ 60"ö First, how many arcsec 0.5deg = 0.5 ç ÷ç ÷ = 1800" è 1 øè 1' ø are in 0.5 deg? D= 1800"´400,000km 206265 UCSB Astro 1 - Martin = 3491km 49 Definition of a Parsec • We will use units of parsecs frequently in our discussion of galaxies. • 1 parsec is 3.26 light-years • 1 parsec is 3.0856e13 cm, or 3.056e11 m. • The Sun is about 8 kiloparsecs from the center of the Milky Way. • How long would it take a television broadcast from the center of the Galaxy to reach earth? UCSB Astro 1 - Martin 50 Summary • Goal 1 – Scientific method – Demarcation: what is science? – Falsification: how do you test scientific theories? – Corroboration: what is a “good” scientific theory? • Goal 2 – The big picture – The Universe is huge and awesome and we will make a “Grand Tour” • Goal 3 – Learning scientific language – Science terms have very precise definitions, with sometimes somewhat different meaning than in the current language UCSB Astro 1 - Martin 51 Homework – Due 10/06/14 • On your own: answer all the review questions in chapter 1 • To TAs: answer questions 1.35, 1.39 – Provides practice with small angle formula UCSB Astro 1 - Martin 52