the history and philosophy of astronomy · 2006-10-19 · newton’s principia (1687) •...
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The History and Philosophyof Astronomy
(Lecture 14: Newton)
Instructor: Volker BrommTA: Jarrett Johnson
The University of Texas at Austin
Astronomy 350L
(Fall 2006)
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Isaac Newton: Founding Father of Physics
• 1642 (Woolsthorpe) – 1727 (London)
• Principia MathematicaPhilosophiae Naturalis(“Mathematical Principles ofNatural Philosophy”, 1687)- universal gravity
(inverse-square law)- three laws of motion
• invented calculus(differentiation and integration)
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Newton: Timeline and Context
• building upon Galileo, Kepler, and Descartes
• completes Copernican Revolution!
Descartes
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Newton: Geography of his Life
N D
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1642: Birth in Woolsthorpe
• born in rural Lincolnshire
• father died before his birth (‘posthumous child’)
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1642 – 49: The English Civil War
• bitter struggle between King (Charles I Stuart)and Parliament (“Cavaliers” vs “Roundheads”)
• King desires to rule without Parliament
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1649: Execution of the King
• King Charles I (Stuart) beheaded
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1642 – 49: The English Civil War
• Victory for Parliament
• Republic (“Commonwealth”)
• Oliver Cromwell (1599-1658)
- Lord Protector
• Anarchy after his death
• Army recalls son of former (executed) kingfrom exile
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1660: The Restoration
• Return of the Stuarts: Charles II (son of behead king)
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London Coffee-House Culture
• New venue for meetings of intellectuals
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The Royal Society of London
• founded 1660: institution to foster exchange ofscientific knowledge
GreshamCollege
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Philosophical Transactions
• published by Royal Society
• first scientific journal
• a public registry of newscientific ideas
• professionalization of science
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1661: Newton enters Cambridge University
• one of oldest universities in the world
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1661: Newton admitted to Trinity College
• admitted as “subsizar” (has to perform menial duties for older or richer students)
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Student in Cambridge (1661-65)
• Study Descartes’mechanical philosophy!
• Principia Philosophiae(1644)
• No vacuum, no atoms!
• Force by direct contact(pressure and tension)
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Student in Cambridge (1661-65)
• Study all the mathematicsthat there is to know!
• John Wallis ArithmeticaInfinitorum (1656):
- predecessor of integralcalculus
- introduces symbol forinfinity ( )
John Wallis, 1616-1703
8
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1665: The Great Plague
~100,000 dead in London
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1666: The Great Fire of London
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Christopher Wren: England’s Greatest Architect
• 1632 – 1723
• Rebuilt London after Great Fire of 1666
• > 50 new churches
• St Paul’s Cathedral
• Savilian professor ofastronomy at Oxford
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Wren: Rebuilding London
• St Paul’s Cathedral
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Newton during Plague Year: Annus Mirabilis
• Return to Woolsthorpe
• 3 Great Discoveries:
- Calculus
- Nature of Light
- Universal Gravity “The Miraculous Year”(1665-66)
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Annus Mirabilis I: Calculus
Differentiation Integration
y
x
• independently discovered by Leibniz in Germany(giving rise to ugly priority dispute later on…)
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Annus Mirabilis II: Optics
• white light is composed of different colors!
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Annus Mirabilis III: Universal Gravity
• Newton asks: What if the same force (gravity) causesfall of apple and keeps Moon in orbit around Earth???
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Annus Mirabilis III: Universal Gravity
• Moon is constantly falling toward Earth (as is apple)!
F~v2/rCentripetal force
v
r
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Annus Mirabilis III: Universal Gravity
• Earth’s gravitational pull is ~ 1/3600 weakerat location of Moon compared to surface (apple)!
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Annus Mirabilis III: Universal Gravity
• Intuitive nature of inverse-square law!(compare to dilution of light over growing surface)
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Newton’s Return to Cambridge
• 1669: Lucasian Professor for Mathematics
Isaac Barrow: 1st Lucasian Professor
Stephen Hawking: 17th Lucasian Professor
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Newton’s Return to Cambridge
• 1671: Design for new (reflecting) telescope
• earns him membership (as fellow) in Royal Society
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En Route to the Principia
• Newton was very reluctant to publish!
• Edmond Halley (1656-1742)
• member of Royal Society
• Halley’s Comet
• first astronomer to observeSouthern Sky (from St Helena)
• Convinced Newton to publish Principia
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Newton’s Principia (1687)
• Philosophiae NaturalisPrincipia Mathematica(Mathematical Principles of
Natural Philosophy)
• Challenges Descartes’Principia Philosophiae (1644)- Descartes: qualitative- Newton: quantitative, predictive
• The foundational text formodern physics and astronomy!
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Newton’s Principia: Overall Structure
Book 1: Basic Laws
Book 2: Demolition of Cartesian System
Book 3: System of the World (applications)
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Principia Book 1: Basic Laws
• Scholium: Absolute Space and Time
“Absolute space…without relation to anythingexternal, remains always similar and immovable”
“Absolute, true, and mathematical time, of itself,…flows equably without relation to anything external ”
• Passive stage for all motion
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Principia Book 1: Basic Laws
• Newton’s bucketexperiment
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Principia Book 1: Basic Laws
• Newton’s 1st Law of Motion:
• Law of inertia (Galileo, Descartes)
• State of rest and uniform motion are equivalent(relative to observer)
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Principia Book 1: Basic Laws
• Newton’s 2nd Law of Motion:
• Same force (F) exerted on a larger mass (m)produces a correspondingly smaller acceleration (a)
Force = mass x acceleration
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Principia Book 1: Basic Laws
• Newton’s 3rd Law of Motion:
Force = Counter-force
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Principia Book 1: Basic Laws
• Newton’s Law of Gravity:
• Gravity is universal and follows inverse-square law!
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Principia Book 2: Demolish Descartes
• Newton proves mathematically:- Descartes’ vortex motion cannot be sustained!- it would soon stop because of friction
(objects have to move through `plenum’)
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Principia Book 3: New System of the World
• Newton’s laws celestial motions (ellipse, parabola,hyperbola, circle)
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Principia Book 3: New System of the World
• Newton’s laws Kepler’s Three Laws of Planetary Motion(gravity +
laws of motion)
Kepler 1 Kepler 3
Kepler 2
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Principia Book 3: New System of the World
• Newton’s laws ocean tides!
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Principia Book 3: New System of the World
• comets move on highly eccentric orbits around Sun!
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Halley’s Comet
• Next return scheduled for 2061!
1986: Giotto mission
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Principia Book 3: New System of the World
• stoic universe (infinite space, finite matter) is unstable!
stars
“void”
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Principia Book 3: New System of the World
• Need Epicurean universe (infinite space, infinite matter)!
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The Infinite Universe: Letters to Bentley (1692-93)
• Richard Bentley (1662-1742)
• erudite theologian
• lectured on how to combatatheism
• basic idea: God’s perfectionrequires infinite universe
• double-check with Newtonon technical details
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Newton permanently moves to London
• 1696-1727
• “affairs of state”:- member of Parliament- master of the Royal Mint(oversees large-scalere-coinage program;becomes very rich)
• President of the Royal Soc.
• stops doing science!
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Journey’s End: Death in 1727
• buried in Westminster Abbey
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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)
“Newton with his prism and silent face,The marble index of a mind for everVoyaging through strange seas of Thought, alone.”
(William Wordsworth)
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Newton: The Legend
(William Blake, 1795)
• cold, unfeeling rationalist and law-giver, a demigod
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Newton
• Isaac Newton: - founder of modern physics and astronomy- early life: led reclusive anti-social life in Cambridge- later life: tended to affairs-of-state in London (master of the Mint)
• Principia - foundational text for modern physics and astronomy- laws of motion- universal gravity (inverse-square law)- demolished Cartesian model- explains large number of hitherto unrelated phenomena
within one unified theoretical framework• The Legend:
- “the marble index of the mind for ever…”