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The Copernican Revolution. The Birth of Modern Science. What do we see in the sky?. The stars move in the sky but not with respect to each other The planets (or “wanderers”) move differently from stars They move with respect to the stars They exhibit strange retrograde motion

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The copernican revolution

The Copernican Revolution

The Birth of Modern Science


What do we see in the sky
What do we see in the sky?

  • The stars move in the sky but not with respect to each other

  • The planets (or “wanderers”) move differently from stars

    • They move with respect to the stars

    • They exhibit strange retrograde motion

  • What does all this mean?

  • How can we explain these movements?

  • What does the universe look like?


Timeline
Timeline

Galileo

1564-1642

Newton

1642-1727

Tycho

1546-1601

Copernicus

1473-1543

Kepler

1571-1630


Geocentric ptolemaic system
Geocentric (Ptolemaic) System

  • The accepted model for 1400 years

  • The earth is at the center

  • The Sun, stars, and planets on their spheres revolve around the earth: explains daily movement

  • To account for unusual planetary motion epicycles were introduced

  • Fit the Greek model of heavenly perfection – spheres are the perfect shape, circular the perfect motion


Heliocentric copernican system
Heliocentric (Copernican) System

  • Sun at center (heliocentric)

  • Uniform, circular motion

    • No epicycles (almost)

  • Moon orbited the earth, the earth orbited the sun as another planet

  • Planets and stars still on fixed spheres, stars don’t move

  • The daily motion of the stars results from the Earth’s spin

  • The annual motion of the stars results from the Earth’s orbit



Geocentric vs heliocentric
Geocentric vs. Heliocentric planets is a direct consequence of the Earth’s motion

  • How do we decide between two theories?

  • Use the Scientific method:

    • These are both explanations based on the observation of retrograde motion

    • What predictions do the models make?

    • How can these predictions be tested?


Phases of venus
Phases of Venus planets is a direct consequence of the Earth’s motion

  • Heliocentric predicts that Venus should show a full phase, geocentric does not

  • Unfortunately, the phases of Venus cannot be observed with the naked eye


Geocentric vs heliocentric1
Geocentric vs. Heliocentric planets is a direct consequence of the Earth’s motion

  • Against heliocentric

    • It predicted planetary motions and events no better than the Geocentric system

    • The earth does not move (things do not fly off)

    • The earth is different from the heavens (from Aristotle – the heavens are perfect and unchanging) and cannot be part of the heavens

  • For heliocentric

    • Simplified retrograde motion, but epicycles were necessary to account for the planets’ changing speed

    • The distances to the planets could be measured. These distances were ordered, and therefore aesthetically pleasing to the philosophy of the day


Stellar parallax
Stellar Parallax planets is a direct consequence of the Earth’s motion

  • Parallax caused by the motion of the earth orbiting the Sun

  • Not observed with the naked eye

  • The heliocentric model predicts stellar parallax, but Copernicus hypothesizes that the stars are too far away (much farther than the earth from the Sun) for the parallax to be measurablewith the naked eye


Misconceptions
Misconceptions planets is a direct consequence of the Earth’s motion

  • The Copernican model has a force between the sun and the planets. Actually, the natural motion of the celestial spheres drove the planetary motions.

  • The Copernican model was simpler than the Ptolemaic one. In fact, though Copernicus eliminated circles to explain retrograde motion, he added more smaller ones to account for nonuniformities of planetary motions.

  • The Copernican model predicted the planetary motions better. Because both models demanded uniform motion around the centers of circles, both worked just about as well – with errors as large as a few degrees at times.


Galileo galilei
Galileo Galilei planets is a direct consequence of the Earth’s motion

  • Turned a telescope toward the heavens

  • Made observations that:

    • contradicted the perfection of the heavens

      • Mountains, valleys, and craters on the Moon

      • Imperfections on the Sun (sunspots)

    • Supported the heliocentric universe

      • Moons of Jupiter

      • Phases of Venus – shows a full phase


Tycho brahe
Tycho Brahe planets is a direct consequence of the Earth’s motion

  • Had two sets of astronomical tables: one based on Ptolemy’s theory and one based on Copernicus’.

  • He found that both tables’ predictions were off by days to a month.

  • He believed that much better tables could be constructed just by more accurate observations.

  • Tycho’s homemade instruments improved measurement precision from ten minutes of arc (which had held since Ptolemy) to less than one


The skies change
The skies change planets is a direct consequence of the Earth’s motion

  • Tycho observed 2 phenomena that showed the heavens DO change:

    • In November 1572, Tycho noticed a new star in the constellation Cassiopeia

    • Comet of 1577

      • Prior to this sighting, comets were thought to be atmospheric phenomena because of the immutability of the heavens

      • But neither the star nor the comet changed position as the observer moved, as expected for atmospheric phenomena


Johannes kepler
Johannes Kepler planets is a direct consequence of the Earth’s motion

  • Kepler succeeded Tycho as the Imperial mathematician (but at only 1/3 the salary of the nobleman)

  • Kepler worked for four years trying to derive the motions of Mars from Brahe’s observations

  • In the process, he discovered that the plane of the earth’s orbit and the plane of Mars’ (and eventually the other planets) passed through the sun

  • Suspecting the sun had a force over the planets, he investigated magnetism

  • While this is not true, it did lead him to the idea of elliptical orbits

  • “With reasoning derived from physical principles agreeing with experience, there is no figure left for the orbit of the planet except a perfect ellipse.”


Astronomia nova
Astronomia nova planets is a direct consequence of the Earth’s motion

  • Published in 1609, The New Astronomy was just that, it revolutionized the field

  • It predicted planetary positions as much as ten times better than previous models

  • It included physical causes for the movement of the planets

  • The ideas of the Greeks were gone – the heavens no longer were perfect, immutable, or different from the earth


Kepler s first law
Kepler’s first Law planets is a direct consequence of the Earth’s motion

  • The orbital paths of the planets are elliptical (not circular), with the Sun at one focus.


Kepler s second law
Kepler’s second law planets is a direct consequence of the Earth’s motion

  • An imaginary line connecting the Sun to any planet sweeps out equal areas of the ellipse in equal intervals of time.


Kepler s third law
Kepler’s Third Law planets is a direct consequence of the Earth’s motion

  • The square of a planet’s orbital period is proportional to the cube of its semi-major axis.

  • Kepler orbit demonstration: http://csep10.phys.utk.edu/guidry/java/kepler/kepler.html


Planetary properties
Planetary Properties planets is a direct consequence of the Earth’s motion


Other solar system bodies
Other Solar System Bodies planets is a direct consequence of the Earth’s motion

  • Kepler derived his laws for the 6 planets known to him. The laws also apply to the 3 discovered planets and any other body orbiting the Sun (asteroids, comets, etc.)


A force for planetary motion
A force for planetary motion planets is a direct consequence of the Earth’s motion

  • Newton proposes a force which controls the motion of the planets – GRAVITY

  • The larger the mass, the larger the force of gravity

  • The further the distance, the smaller the force of gravity

  • Kepler’s third law can be derived from Newton’s law of gravity

  • F = GMm/r2 = mg


Gravity
Gravity planets is a direct consequence of the Earth’s motion


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