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Astronomy 350L (Fall 2006)
The History and Philosophy Read Free For 30 Days of Astronomy (Lecture 14: Newton)
DISCOVERVolker NEW BOOKS Bromm READ EVERYWHERE Instructor: TA: Jarrett Johnson
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The University of Texas at Austin
Isaac Newton: Founding Father of Physics
• 1642
(Woolsthorpe)
– 1727 (London)
Free For 30 Days Mathematica • Principia Read Philosophiae Naturalis
(“Mathematical Principles of Natural Philosophy”, 1687) - un univ iver ersa sall grav gravit ity y (inverse-square law) DISCOVER-NEW BOOKS READsEVERYWHERE BUILD YOUR DIGITAL READING LISTS three thr ee law laws of moti of motion on
• in inve vent nted ed cal calcu culu lus s (differentiation and integration)
Newton: Timeline and Context
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Descartes DISCOVER NEW BOOKS
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• bui buildin lding g upon Galil Galileo, eo, Kepler Kepler,, and Descart Descartes es • com comple pletes tes Cope Coperni rnican can Revo Revolut lution ion!!
Newton: Geography of his Life
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1642: Birth in Woolstho Woolsthorpe rpe
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• bo born rn in in rura rurall Linco Lincoln lnsh shire ire • father died before his birth (‘posthumous child’)
1642 164 2 – 49: The En Engli glish sh Civ Civil il War War
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• bit bitter ter strugg struggle le between between King King (Charl (Charles es I Stuart Stuart)) and an d Pa Parli rliame ament nt (“C (“Cav aval alier iers” s” vs “Ro “Roun undhe dheads ads”) ”) • King desir desires es to rule with without out Parlia Parliament ment
1649: Execution of the King
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• Kin King g Charl Charles es I (Stua (Stuart) rt) behe beheaded aded
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1642 164 2 – 49: The En Engli glish sh Civ Civil il War War • Vi Vict ctor ory y for for Pa Parli rliame ament nt • Re Repub public lic (“Co (“Commo mmonwe nwealt alth”) h”) Read Free For 30 Days
• Ol Oliv iver er Cr Crom omwe wellll (1599-1658) - Lo Lord rd Pr Prot otec ecto torr • An Anarc archy hy af afte terr his his dea death th
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• Ar Army my re reca calllls s son son of former (executed) king from exile
1660: The Restoration
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• Retu Return rn of of the the Stuart Stuarts: s: Char Charles les II (son of behead king)
London Coffee-House Culture
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• New venue venue for meet meetings ings of intel intellect lectual uals s
The Royal Society of London
Gresham College
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• fou founded nded 1660: 1660: instit instituti ution on to foster foster exchan exchange ge of scientific knowledge
Philosophical Philosoph ical Transactions • pu publi blishe shed d by Roya Royall Soci Society ety • fi firs rstt scie scient ntif ific ic jou journa rnall Read Free For 30 Days
• a publ public ic re regi gist stry ry of new new scientific ideas • pr prof ofes essi sion onal aliz izat atio ion n of sc scie ienc nce e DISCOVER NEW BOOKS
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1661: Newton enters Cambridge University
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• one of of oldest oldest unive universi rsitie ties s in the the world world
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1661: Newton admitted to Trinity College
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• ad admi mitt tted ed as “s “sub ubsi siza zar” r” (ha (has s to to per perfo form rm me meni nial al duties for older or richer students)
Student in Cambridge (1661-65) • St Stud udy y Des Desca cart rtes es’’ mechanical philosophy! Read Free For 30 Days
• Principia Philosophiae (1644)
• No vac vacuu uum, m, no no atom atoms! s! • Fo Forc rce e by di dire rect ct con conta tact ct (pressure and tension)
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Student in Cambridge (1661-65) • St Stud udy y all all the the math mathem emati atics cs that there is to know! Read Free For 30 Days
• John Wallis Arithmetica Infinitorum (1656): - pre prede deces cessor sor of in integ tegral ral calculus - int introd roduc uces es symb symbol ol fo forr infinity ( 8)
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John Wallis, 1616-1703
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1665: The Great Plague
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~100,000 dead in London
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1666: The Great Fire of London
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Christopher Wren: England’s England’s Greatest Architect • 1632 – 172 3 • Re Rebu buil iltt Lond London on aft after er Read Free For 30 Days Great Fire of 1666 • > 50 50 new new chu churc rche hes s • St Pau Paul’l’s s Cath Cathed edra rall DISCOVER NEW BOOKS
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• Savilian pro roffessor of astronomy at Oxford
Wren: Rebuilding London
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• St Pa Paul ul’s ’s Cat Cathe hedr dral al
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Newton Newto n during during Plagu Plague e Year: Year: Annu Annus s Mirab Mirabilis ilis •
Return to Woolsthorpe
• 3 GRead reFree at ForD30isDays coveries: - Calculus - Na Natu ture re of Li Ligh ghtt READ EVERYWHERE BUILD YOUR DIGITAL READING LISTS Univ iver ersa sall Gra Gravi vity ty “The Miraculous Year” DISCOVER NEW BOOKS - Un (1665-66)
Annus An nus Mir Mirabi abilis lis I: Cal Calcul culus us Differentiation
Integration
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y x
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• ind indepen ependen dently tly discov discovered ered by Leibni Leibniz z in Germany Germany (giving rise to ugly priority dispute later on…)
Annu An nus s Mi Mira rabi bili lis s II: Opti Optics cs
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• whi white te light light is compos composed ed of differ different ent color colors! s!
Annu An nus s Mir Mirabi abilis lis III: III: Univer Universal sal Gravi Gravity ty
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• Ne Newt wton on ask asks: s: Wh What at if th the e same force (gravity) causes fall of apple and keeps Moon in orbit around Earth???
Annu An nus s Mir Mirabi abilis lis III: III: Univer Universal sal Gravi Gravity ty
F~v2/r
v Read Free For 30 Days
Centripetal force
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• Moon is constant constantly ly falling falling toward toward Earth (as (as is apple)!
Annu An nus s Mir Mirabi abilis lis III: III: Univer Universal sal Gravi Gravity ty
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• Ear Earth’s th’s grav gravita itation tional al pull pull is ~ 1/3600 1/3600 weake weakerr at location of Moon compared to surface (apple)!
Annu An nus s Mir Mirabi abilis lis III: III: Univer Universal sal Gravi Gravity ty
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• Int Intuit uitive ive natu nature re of invers inverse-sq e-square uare law! law! (compare to dilution of light over growing surface)
Newton’s Return to Cambridge • 16 1669 69:: Luc Lucas asian ian Pr Prof ofes esso sorr fo forr Ma Math them emati atics cs
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Isaac Barrow: 1st Lu Luca casi sian an Pr Prof ofess essor or
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Stephen Hawking: 17th Lu Luca casi sian an Pr Prof ofes esso sorr
Newton’s Return to Cambridge • 167 1671: 1: Design Design for for new (reflec (reflectin ting) g) telesc telescope ope
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• earn earns s him members membership hip (as fell fellow) ow) in Royal Royal Socie Society ty
En Route to the Principia • Newton was very reluctant to publish! • Edm dmon ond d Ha Hallle ley y (1656-1742) Read Free For 30 Days
• member of Royal Society • Ha Hallle ley’ y’s s Com Comet et • fi firs rstt astr astrono onomer mer to to obser observe ve Southern Sky (from St Helena)
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• Co Conv nvin ince ced d New Newto ton n to to publish Principia
Newton’s Principia (1687) • Philosophiae Naturalis Principia Mathematica Read Free For 30 Days
(Mathematical (Mathemat ical Principles of Natural Philosophy
• Cha Challlleng enges es Des Desca cart rtes es’’ Principia Philosophiae (1644 DISCOVER NEW BOOKS
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- De Desca scart rtes: es: qua qualit litati ative ve - Newt Newton: on: quan quantitat titative, ive, pred predicti icti
• The foundational text for
Newton’s Principia: Overall Structure Book 1: Basic Laws Read Free For 30 Days
Book 2: Demolition of Cartesian System
Book 3: System of the World (applications) DISCOVER NEW BOOKS
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Principia Book 1: Basic Laws • Sc Scho holilium um:: Ab Abso solu lute te Sp Spac ace e an and d Tim Time e “Absolute space…without relation to anything Read Free For 30 Days external, remains always similar and immovable” “Absolute, true, and mathematical time, of itself,… flows equably without relation to anything external ” DISCOVER NEW BOOKS
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• Pa Pass ssiv ive e sta stage ge fo forr al all mot motio ion n
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Principia Book 1: Basic Laws • Ne Newt wton on’s ’s bu buck cket et experiment Read Free For 30 Days
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Principia Book 1: Basic Laws • Newton’s 1st Law of Motion:
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• Law of of inerti inertia a (Galil (Galileo, eo, Desc Descart artes) es) DISCOVER NEW BOOKS
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• Sta State te of rest rest and unifo uniform rm motion motion are equiv equivalen alentt (relative to observer)
Principia Book 1: Basic Laws • Newton’s 2nd Law of Motion: Force = mass x acceleration Read Free For 30 Days
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• Sam Same e force force (F) exer exerted ted on on a larger larger mass mass (m) (m) produces a correspondingly smaller acceleration (a)
Principia Book 1: Basic Laws • Newton’s 3rd Law of Motion: Force = Counter-force Read Free For 30 Days
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Principia Book 1: Basic Laws • Newton’s Law of Gravity:
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• Gravi Gravity ty is is universal universal and follows follows inverse inverse-square -square law!
Principia Book 2: Demolish Descartes
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• New Newton ton prov proves es mat mathema hematic ticall ally: y: - De Desc scar arte tes’ s’ vor orte tex x mot motio ion n can canno nott be be sus susta tain ined ed!! - it wo woul uld d soo soon n sto stop p bec becau ause se of fr fric icti tion on (objects have to move through `plenum’)
Principia Book 3: New System of the World
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• Newt Newton’s on’s law laws s
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celest cel estial ial mot motions ions (ellipse, parabola, hyperbola, circle)
Principia Book 3: New System of the World • Ne New wton on’s ’s laws (gravity + laws of motion)
Kepler’s Th Thre ree e Law aws s of Planetary Motion Read Free For 30 Days
Kepler 2 Kepler 1 DISCOVER NEW BOOKS
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Kepler 3
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Principia Book 3: New System of the World
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• New Newton ton’s ’s la laws ws
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ocea oc ean n ti tides des!!
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Principia Book 3: New System of the World
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• comets move on highly highly eccent eccentric ric orbits around Sun!
Halley’s Comet 1986 19 86:: Giott Giotto o mi miss ssio ion n
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• Nex Nextt retu return rn sched scheduled uled for 206 2061! 1!
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Principia Book 3: New System of the World
“void” Read Free For 30 Days
stars
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• stoic univers universe e (infinite (infinite space, space, finite finite matter) is unstable! unstable!
Principia Book 3: New System of the World
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• Need Epicurean univers universe e (infinite (infinite space, infinit infinite e matter)! matter)!
The Infinite Universe: Letters to Bentley (1692-93) • Ri Rich chard ard Bent Bentle ley y (1662(1662-174 1742) 2) • er erud udit ite e theo thRead eolo logi gian an Free For 30 Days • le lect cture ured d on on how how to to com combat bat atheism • bas basic ic idea idea:: God God’s ’s per perfec fectio tion n requires infinite universe
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• do doubl ublee-che check ck wit with h Newto Newton n on technical details
Newton permanently moves to London • 1696-1727 • “a “aff ffai airs rs of of stat state” e”:: Read Free For 30 Days - me memb mber er of Par Parliliame ament nt - ma mast ster er of the the Ro Royal yal Min Mintt (oversees large-scale re-coinage program; becomes very rich) • Pr Pres esid ident ent of the the Roy Royal al Soc Soc..
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• st stop ops s doi doing ng sc scien ience ce!!
Journey’s End: Death in 1727
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• bu buri ried ed in Wes Westm tmin inst ster er Abbe Abbey y
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Newton: The Legend “Nature and Nature’s Laws lay hid in night; God said, Let Newton be! And all was Light .” .” (Alexander Pope)
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“Newton with his prism and silent face, The marble index of a mind for ever Voyaging through strange seas of Thought, alone.” DISCOVER NEW BOOKS
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(William Wordsworth)
Newton: The Legend
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(William Blake, 1795)
• cold, unfeeli unfeeling ng rationali rationalist st and and law-giver, law-giver, a demigod demigod
Newton • Is Isaa aac c New Newto ton: n: - fou founder nder of of modern modern physi physics cs and and astronom astronomy y - earl early y life: led reclusi reclusive ve anti-soc anti-social ial life in Cambri Cambridge dge - late laterr life: tended tended to affai affairs-o rs-of-sta f-state te in London London (master of the Mint) Read Free For 30 Days
• Principia - foun foundati dational onal text text for modern modern physics physics and astron astronomy omy - la laws ws of mo moti tion on - univ universa ersall gravity gravity (invers (inverse-sq e-square uare law) law) - de demol molish ished ed Carte Cartesia sian n model model DISCOVER NEW BOOKS READ EVERYWHERE BUILD YOUR DIGITAL READING LISTS - exp explains lains large large number numb er of hitherto hitherto unrelate unrelated d phenomena phenomena within one unified theoretical framework
• The Le Lege gen nd: - “th “the e marble marble index index of the mind mind for for ever…” ever…”