Sun Kwok Our Place in the Universe Understanding Fundamental Astronomy from Ancient Discoveries Second Edition Our Place in the Universe Sun Kwok Our Place in the Universe Understanding Fundamental Astronomy from Ancient Discoveries Second Edition SunKwok FacultyofScience TheUniversityofHongKong HongKong,China Thisbookisasecondeditionofthebook“OurPlaceintheUniverse”previouslypublished bytheauthorasaKindlebookunderamazon.com. ISBN978-3-319-54171-6 ISBN978-3-319-54172-3 (eBook) DOI10.1007/978-3-319-54172-3 LibraryofCongressControlNumber:2017937904 ©SpringerInternationalPublishingAG2017 Thisworkissubjecttocopyright.AllrightsarereservedbythePublisher,whetherthewholeorpartof the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilarmethodologynowknownorhereafterdeveloped. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publicationdoesnotimply,evenintheabsenceofaspecificstatement,thatsuchnamesareexempt fromtherelevantprotectivelawsandregulationsandthereforefreeforgeneraluse. Thepublisher,theauthorsandtheeditorsaresafetoassumethattheadviceandinformationinthis book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained hereinor for anyerrors oromissionsthat may havebeenmade. Thepublisher remainsneutralwith regardtojurisdictionalclaimsinpublishedmapsandinstitutionalaffiliations. Coverimage:TheNebraDisk.Credit:ByDbachmann,CCBY-SA3.0,https://commons.wikimedia.org/ w/index.php?curid=1500795 Printedonacid-freepaper ThisSpringerimprintispublishedbySpringerNature TheregisteredcompanyisSpringerInternationalPublishingAG Theregisteredcompanyaddressis:Gewerbestrasse11,6330Cham,Switzerland Preface There is a common perception among the general populace that astronomy is impracticalandirrelevant.Thiscouldnotbefurtherfromthetruth.Forthousands ofyears,astronomywasanextremelypracticalsubject,andourancestorsreliedon theirastronomicalknowledgetoconducttheirdailylives.Mostancientpeoplewere far more familiar with the behavior of the Sun, the Moon, and the stars than the average personis today. Astronomyalsomotivatedintellectual thoughtandhada majorimpactonthesocialdevelopmentofthehumanracethroughouthistory.Our evolvingperceptionofourplaceintheuniversehelpedbringaboutimportantsocial changesoverthelasttwothousandyears. This book is not just about astronomy. It uses the historical development of astronomy to illustrate the process of rational reasoning and its effect on philoso- phy, religion, and society. Because celestial objects followed regular patterns, astronomical observations gave humans some of the first hints that Nature was understandable. The complicated nature of these patterns also challenged our intellectualpowers. Inoureducationsystem,scienceisoftenpresentedtoourstudentsasaseriesof facts.Infact,scienceisabouttheprocessofrationalthinkingandcreativity.What weconsidertobethetruthisconstantlyevolvingandhascertainlychangedgreatly over the history of humankind. The essence of science is not so much about the current view of our world but how we changed from one set of views to another. Thisbookisnotabouttheoutcomebuttheprocess. I tried to achieve these goals as follows. I begin with a description of basic observations, summarize the patterns observed and the problems they pose, and discuss the suggested theories and their implications. The pros and cons of these theories are evaluated alongside alternate theories. This approach differs from typicalsciencetextbooks,whichusuallytakeanaxiomaticapproachbyfirststating thecorrecttheoryandderivingthedeductionsbeforecomparingthemwithexper- imentalresults.Ihopethishistoricalapproachallowsstudentstobetterunderstand the scientific process and learn from this process when they tackle real-life prob- lemsintheircareers. v vi Preface We live in the most prosperous times in human history. It is convenient to assume that everything important happened recently and that events from the distant past do not matter. It is also easy for us to forget or dismiss the wisdom andachievementsofourancestors.Asimplesurveyofmodernuniversitystudents willrevealthatmostofthembelievewediscoveredtheEarthwasroundonlyafew hundred years ago. But in fact the Earth’s shape was well known as long as 2500 yearsago. Withnakedeyeobservationsandsomeverysimpleinstruments,ancientastron- omersfoundoutagreatdealaboutourworld.Byobservingcelestialobjects,they deduced that the Earth was round. They could explain the changing times and locationsofsunrise.Theyhadareasonableempiricalmodeltoforecasteclipses.In spite of the apparent erratic motions of the planets, their positions could be predicted accurately with mathematical models hundreds of years into the future. Althoughancientcivilizationsoccupiedonlyasmallfractionofthesurfaceofthe Earth,theyhadaverygoodestimateofthesizeoftheentireEarth.Theycouldeven determinethesizeofanddistancetotheMoon. Modern humans’ disconnection from Nature also means that some common knowledge from ancient times has been lost. Many people today believe that the Sunrisesintheeasteveryday,butitwascommonknowledgeamongourancestors thatthedirectionofsunrise changes everyday.Theregular yetcomplexapparent motionoftheSunwasthemainmotivatorforthedevelopmentofrationalthought. ThisbookisbasedonacoursedesignedfortheCommonCoreProgramofThe UniversityofHongKong(HKU).TheHKUCommonCorecoursesarenotbased onaspecificdisciplineandaredesignedtohelpstudentsdevelopbroaderperspec- tivesandabilitiestocriticallyassesscomplexissues.Theclassesalsohelpstudents appreciateourowncultureandglobalissues. I developed this course and taught it from 2010 to 2016. Every year, the class containedabout120studentsfromallfacultiesoftheUniversity,includingArchi- tecture, Arts, Business and Economics, Dentistry, Education, Engineering, Law, Medicine, Science, and Social Sciences. Because of the students’ diverse back- ground,nomathematicalderivationsorcalculationswereused.Thestudentswere, however, expected to understand qualitative concepts, develop geometric visuali- zations,andperformlogicaldeductions.Inordertoconveytheconceptseffectively without mathematics, I relied strongly on graphical illustrations and animations. Computer simulations were used to show apparent motions of celestial objects in thesky.Theseillustrationsgreatlyhelpedstudentsvisualizethecomplexityofsuch motions. Formoretechnicalreaders,Ihaveaddedsomemathematicsinthisbook,mostof which is presented in the Appendices. Nonmathematical readers can skip these parts. To focus on the evolution of concepts, I have deliberately omitted certain details. For example, the apparent motions of the Sun and Moon are even more complicatedthanIhavepresentedhere.Mygoalistoreachabroadreadership. Jargonsaregreatobstaclestolearning.Inthisbook,Itrytominimizetheuseof jargonsasmuchaspossibleandsometechnicaltermsarereplacedbysimplewords Preface vii with similar meaning. Some concepts have precise definitions, and the use of technicaltermsisunavoidable.AlldefinitionsarepresentedintheGlossary. Every year, students ask me whether they will be handicapped by their lack of previousknowledgeofphysicsandastronomy.Infact,thereverseistrue.Students in science have been told all the modern notions but have never learned how we arrivedatthoseconclusions.Tolearnabouttheprocessofdiscovery,theyhaveto giveuptheirpreconceptions,whichcanbehardforsomestudents.Oneexampleis the question “How do we know that the Earth revolves around the Sun?” When I posedthisquestiontostudents,themostcommonanswerIgotwas“ThisiswhatI wastoldbymyteacher.”Inthisbook,wetrytoretracehistoricalstepstofindout howwegottothisconclusion. Inadditiontolectures,wehadweeklytutorials,quizzes,assignments,computer laboratory exercises, a planetarium show, and exams. The planetarium show was developed with the assistance of the Hong Kong Space Museum to illustrate the celestialmotions observed indifferent parts ofthe world and at different timesin history.Thelaboratoryexerciseswerebasedoncomputersoftwaresothatstudents couldhavefirsthandexperienceviewingandrecordingdatafromsimulatedobser- vations.Theassessmentsweredesignedtotestwhetherthestudentshadunderstood thecoursematerials,couldconnectmaterialfromdifferentpartsofthecourse,had achievedsomedegreeofsynthesis,andcouldapplytheacquiredknowledgetonew situations. IwishtothankWaiWong,whoskillfullydrewmanyofthefiguresinthisbook. AnisiaTangandSze-LeungCheunghelpedwithbackgroundresearchandcontrib- uted to the laboratory exercises. I thank Gray Kochhar-Lindgren, Director of the HKUCommonCoreProgram,andY.K.Kwok,AssociateVicePresident(Teaching and Learning), for their unyielding support for my course. Tim Wotherspoon and Bruce Hrivnak provided helpful comments on an earlier draft. I thank Ramon Khanna, my editor at Springer, for encouraging me to publish this book. I am particularly grateful to my wife Emily and daughter Roberta for reading various draftsofthisbookandgivingmecriticalcomments. IalsowishtothanktheUniversityofBritishColumbiaforitshospitalityduring mysabbaticalleavewhenthismanuscriptwascompleted. Ifirstbecameinterestedinthissubjectduringmysecondyearofundergraduate study at McMaster University, where Prof. Bertram Brockhouse (Nobel Prize in Physics,1994)introducedmetoKepler’sworkinhisPhilosophyofSciencecourse. His teaching made me realize that physics is more than just mechanical calcula- tions;itisasubjectwithphilosophicalandsocialimplications. Vancouver,Canada SunKwok 2016 Prologue 天地玄黃,宇宙洪荒。日月盈昃,辰宿列張。 寒來暑往,秋收冬藏。閏餘成歲,律呂調陽。 千字文周興嗣 “Inthebeginning,therewastheblackheavenandtheyellowearth.TheUniversewasvast and without limit. The Sun rises and sets, the Moon goes through phases, and the stars spreadoverdistinctconstellations inthesky.Thewarmandcoldseasonscomeandgo, whileweharvestinthefallandstoreourgrainsforthewinter.Ayeariscomposedofan unevennumberofmonths,andharmonyofmusicgovernsthecosmos”. Firsteightversesfromthe“ThousandCharacterEssay”byZhouXingSi(470–521A.D.), translatedfromChinese. Zhou,anofficialintheCourtoftheLiangDynasty,wasaskedbytheEmperor Wu 梁武帝(reigned 502–549 A.D.) to arrange a set of 1000 characters into an essay for the education of the young princes. He composed a rhymed essay of 250four-characterverseswhereeachcharacterwasusedonlyonce.Fromthesixth centurytotheearlytwentiethcentury,thisessaywascommonlyusedasaprimary texttoteachyoungchildrentheChinesecharacters. Theessaybeginswitheightversesthatexpresshumans’desiretounderstandthe Universe and their appreciation for the celestial objects’ orderly movements. As Zhou describes it, people also recognize that observations of the Sun, Moon, and starshaveledtothedevelopmentofcalendarsandthatthestructureoftheUniverse canbeunderstoodbytheoreticalmodels. These verses exemplifythe yearningforknowledgeofourplace inthe Universe, whichissharedbyallancientcultures.Throughtirelessobservations,ourancestorson differentcontinentsobservedthebehavioroftheSun,Moon,planetsandthestars.They wereawarethatthesepatternswereregularbutbynomeanssimple.Althoughthedata collected were similar across cultures, the interpretations of the celestial patterns differed.Theseinterpretationswereincorporatedintosocial,religious,andphilosoph- icalstructures.Throughouthistory,theevolutionofourmodelsoftheUniverseledto changesinthesestructures.Thisbookisanattempttotellthestoryoftheevolutionof astronomicaldevelopmentovertwomillenniaanditseffectonoursociety. ix Contents 1 HumansandtheSky. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1.1 RepeatingDaysandNights. . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1.2 CyclesoftheSeasons. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 1.3 EarlySkyWatchers. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 1.4 WorshipoftheSun. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 1.5 TheOrderlyHeaven. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 1.6 QuestionstoThinkAbout. . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 2 EffectsofCelestialMotionsonHumanActivities. . . . . . . . . . . . . . 11 2.1 DailyMotionoftheSun. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 2.2 TheAnnualMotionoftheSun. . . . . . . . . . . . . . . . . . . . . . . . 12 2.3 TheSeasons. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 2.4 RegularButNotSimple. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15 2.5 QuestionstoThinkAbout. . . . . . . . . . . . . . . . . . . . . . . . . . . . 15 3 AncientModelsoftheUniverse. . . . . . . . . . . . . . . . . . . . . . . . . . . 17 3.1 ASphericalHeaven. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17 3.2 ChasingtheShadows. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18 3.3 NotAllDirectionsAreEqual. . . . . . . . . . . . . . . . . . . . . . . . . 18 3.4 PathoftheSun. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21 3.5 WhereDoestheSunGoatNight?. . . . . . . . . . . . . . . . . . . . . . 22 3.6 QuestionstoThinkAbout. . . . . . . . . . . . . . . . . . . . . . . . . . . . 24 4 TurningoftheHeavens. . . . . . .. . . . . . . .. . . . . . . . .. . . . . . . . .. 25 4.1 ThePoleofHeaven. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26 4.2 TheHeavenIsTilted. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29 4.3 AFreeFloatingEarth. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31 4.4 QuestionstoThinkAbout. . . . . . . . . . . . . . . . . . . . . . . . . . . . 31 5 ASphericalEarth. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33 5.1 TheSunMovesinCompleteCircles. . . . . . . . . . . . . . . . . . . . 33 5.2 ADifferentShowforEveryone. . . . . . . . . . . . . . . . . . . . . . . . 35 xi xii Contents 5.3 EvidenceforaNon-flatEarth. . . . . . . . . . . . . . . . . . . . . . . . . 35 5.4 TheChangingHorizon. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 37 5.5 HowHighCantheSunGo?. . . . . . . . . . . . . . . . . . . . . . . . . . 41 5.6 DifferentLengthsofDaylight. . . . . . . . . . . . . . . . . . . . . . . . . 42 5.7 PoleStarandLatitude. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 42 5.8 CelestialNavigation. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 44 5.9 AreThereStarsWeCan’tSee?. . . . . . . . . . . . . . . . . . . . . . . . 46 5.10 SuccessoftheRound-EarthHypothesis. . . . . . . . . . . . . . . . . . 47 5.11 QuestionstoThinkAbout. . . . . . . . . . . . . . . . . . . . . . . . . . . . 48 6 JourneyoftheSunAmongtheStars. . . . . . . . . . . . . . . . . . . . . . . . 49 6.1 TheSunMovingThroughtheStars. . . . . . . . . . . . . . . . . . . . . 49 6.2 TwoKindsofMotionoftheSun. . . . . . . . . . . . . . . . . . . . . . . 53 6.3 InclinationoftheEcliptic. . . . . . . . . . . . . . . . . . . . . . . . . . . . 54 6.4 PlacingStarsontheCelestialSphere. . . . . . . . . . . . . . . . . . . . 56 6.5 AnAsymmetricUniverse. . . . . . . . . . . . . . . . . . . . . . . . . . . . 58 6.6 QuestionstoThinkAbout. . . . . . . . . . . . . . . . . . . . . . . . . . . . 59 7 ATwo-SphereUniverse. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 61 7.1 AnInnerSphereforHumans,anOuterSphereforCelestial Objects. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 61 7.2 TheArmillarySphere. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 63 7.3 ArmillarySpheresasObservingInstruments. . . . . . . . . . . . . . 67 7.4 TheTwo-SphereCosmology. . . . . . . . . . . . . . . . . . . . . . . . . . 67 7.5 QuestionstoThinkAbout. . . . . . . . . . . . . . . . . . . . . . . . . . . . 69 8 DanceoftheMoon. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 71 8.1 ShiftingLocationsofMoonrise. . . . . . . . . . . . . . . . . . . . . . . . 72 8.2 TwoDifferentLengthsofaMonth. . . . . . . . . . . . . . . . . . . . . 75 8.3 EclipsesandPhasesoftheMoon. . . . . . . . . . . . . . . . . . . . . . . 77 8.4 SizeandDistancetotheMoon. . . . . . . . . . . . . . . . . . . . . . . . 78 8.5 TheSelf-spinningMoon. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 80 8.6 QuestionstoThinkAbout. . . . . . . . . . . . . . . . . . . . . . . . . . . . 81 9 TheCalendars. . . .. . . . . .. . . . . .. . . . . .. . . . .. . . . . .. . . . . .. . 83 9.1 HowLongIsaYear?. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 84 9.2 StarCalendar. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 84 9.3 WhatDefinesaYear?. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 86 9.4 DifferentCalendarsAroundtheWorld. . . . . . . . . . . . . . . . . . . 87 9.5 ReformoftheJulianCalendar. . . . . . . . . . . . . . . . . . . . . . . . . 89 9.6 WhatIssoSpecialAbouta24-hourDay?. . . . . . . . . . . . . . . . 90 9.7 QuestionstoThinkAbout. . . . . . . . . . . . . . . . . . . . . . . . . . . . 91 10 TheWanderers. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 93 10.1 TheTenPatternsofVenus. . . . . . . . . . . . . . . . . . . . . . . . . . . 96 10.2 MarsatOpposition. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 100
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