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The Copernican Revolution. Birth of Modern Science Foundations Unit: Part B. Introduction. Living in the Space Age Earth, one planet among many Orbits the sun, without (serious) question Vs. the Alternative Earth was special the center of all things. Introduction.

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the copernican revolution

The Copernican Revolution

Birth of Modern Science

Foundations Unit: Part B

introduction
Introduction
  • Living in the Space Age
    • Earth, one planet among many
    • Orbits the sun, without (serious) question
  • Vs. the Alternative
    • Earth was special
    • the center of all things
introduction1
Introduction
  • The Radical Transformation of our “View”
    • Did not happen overnight
    • Did not happen without controversy and persecution
    • A humbling process for humankind.
  • We will look at the historical observations that guided this transformation.
the orbit of the moon
The Orbit of the Moon
  • The Practical Reasons for Early Astronomy
    • Navigational guide stars (like Polaris)
    • Planting/Harvesting Seasons
    • Calendar/Time Keeping
      • Counting Turns of the Moon
the orbit of the moon1
The Orbit of the Moon
  • Understanding Lunar Phases
    • Brightest Reflector in the sky
    • Its orbit of the earth causes changes in the amount of sunlight that it reflects in our direction.
    • It completes a full cycle in roughly 29 days.
the orbit of the moon2
The Orbit of the Moon
  • Just like Earth, the moon is normally 50% illuminated, 50% dark.
  • Depending on orientation we see all, part, or none of the illuminated side.
  • The phases of the moon are named based on what portion of the illuminated side is visible.
the orbit of the moon3
The Orbit of the Moon
  • There are approximately 3-4 days transition between phases of the moon.
  • New Moon- No illumination visible
  • Waxing Crescent-

Illumination progresses

into view each

night.

the orbit of the moon4
The Orbit of the Moon
  • First Quarter- Half of the illuminated surface (½ of ½ = ¼)
    • Rises at Noon, Sets at Midnight
  • Waxing Gibbous-

more than half of the

Illumination is visible.

    • Almost Full
the orbit of the moon5
The Orbit of the Moon
  • Full Moon- the illuminated surface is fully visible
    • Moon rises at sunset, sets at sunrise
the orbit of the moon6
The Orbit of the Moon
  • Waning Gibbous- The visible illuminated area is receding, but still more than half.
  • Last (3rd) Quarter- Half of illuminated area
    • Rises at midnight, sets at noon.
  • Waning Crescent- less than half visible, approaching new moon.
the orbit of the moon8
The Orbit of the Moon
  • Eclipse when some or all of the Sun’s light is blocked by the Earth/Moon.
    • Lunar Eclipse
      • Earth casts a shadow that blocks sunlight to the moon.
      • Two Regions of Shadow
        • Umbra- Darkest Shadow
        • Penumbra- Lighter Shadow
the orbit of the moon10
The Orbit of the Moon
    • Total Lunar Eclipse- Entirely in the Umbra
    • Partial Lunar Eclipse- Only part of the moon is in the umbra.
  • Some light still reaches the moon, but must pass through the earth’s atmosphere. Copperish Color.
the orbit of the moon11
The Orbit of the Moon
  • Solar Eclipse- The moon passes between Earth and Sun, casting a shadow.
    • Two Regions of shadow
      • Umbra
      • Penumbra
the orbit of the moon12
The Orbit of the Moon
  • Total Eclipse- seen within

the Umbra

  • Corona is visible
the orbit of the moon13
The Orbit of the Moon
  • Partial Eclipse- seen within the Penumbra
the orbit of the moon14
The Orbit of the Moon
  • Annular Eclipse- Moon is too far for the Umbra to cast on the surface of Earth (½ of all Solar Eclipses)
  • Not all of the sun’s

disk is blocked by the

moon.

the orbit of the moon15
The Orbit of the Moon
  • If the moon and earth continually pass in front of the sun, why don’t we have more eclipses?
    • The Moon’s Orbit plane is tilted 5.2o from the ecliptic plane.
    • Eclipse occurs only during alignment as the moon is crossing the ecliptic plane.
      • New Moon  Solar Eclipse
      • Full Moon  Lunar Eclipse
the orbit of the moon17
The Orbit of the Moon
  • Visible Eclipses through 2020
the motions of the planets
The Motions of the Planets
  • Ancient Astronomers recognized the steady pattern of movement of the Sun, Moon, and Stars.
  • There were five other bodies in the sky, whose motion was not so easily understood.
    • The planets
      • Mercury, Venus, Mars, Jupiter, and Saturn
the motions of the planets1
The Motions of the Planets
  • The Planets
    • These 5, visible to the naked eye.
    • Usually shift eastward from night to night
    • Speed up and slow down
    • Occasionally appear to loop back westward.
      • Retrograde Motion
    • Planetes- Greek word meaning “Wanderer”
the motions of the planets3
The Motions of the Planets
  • Ancient Astronomers (Astrologers)-
    • Wanted detailed knowledge of the Solar system
    • Correctly reasoned planet brightness related to distance.
    • System needed to account for variable brightness and wandering motion of the planets.
the motions of the planets4
The Motions of the Planets
  • Geocentric View (earth center)
    • Follows teachings of Aristotle (300’s BC)
    • Works great for Sun, Moon, Stars, but not planets
    • Needs improvements
the motions of the planets5
The Motions of the Planets
  • Epicyclic Model-
    • Each planet orbits an imaginary point, that in turn orbits the earth.
    • Begins to explain

retrograde and variable

brightness

    • Doesn’t hold up to new

observations.

the motions of the planets6
The Motions of the Planets
  • Ptolemaic Model- (Ptolemy 100’s CE)
    • Develops small adjustments to Epicycles
    • Shifts focus from

Earth’s center

    • Requires 80 circular paths

to fully explain Sun, Moon,

and 5 planets.

the motions of the planets7
The Motions of the Planets
  • Two Main Flaws-
    • Geocentric Assumption
    • Insistence on uniform circles
the motions of the planets8
The Motions of the Planets
  • The Heliocentric View-
    • Aristarchus (300’s BC), not widely accepted
    • Geocentric Model
      • Ptolemaic accepted for 13 Centuries
      • Good Reasoning, Bad Conclusions due to inadequate data
    • Nicholas Copernicus (1473-1543)
      • Rediscovers Aristarchus’ heliocentric model.
the motions of the planets9
The Motions of the Planets
  • Copernican View
    • Earth rotates on its axis and orbits the sun.
    • Accounts for Variable brightness, retrograde motion.
    • Motivation: Simplicity
the motions of the planets10
The Motions of the Planets
  • Retrograde occurs when we pass a planet orbiting the same side of the sun.
the motions of the planets11
The Motions of the Planets
  • Reality: Still too complex, retains Greek Epicycles
  • Gains little acceptance in his lifetime.
  • Book On the Revolution of the Celestial Spheres, published in 1543.
the birth of modern astronomy
The Birth of Modern Astronomy
  • Copernicus ideas are advanced by two well known scientists.
    • Galileo Galilei
    • Johannes Kepler
the birth of modern astronomy1
The Birth of Modern Astronomy
  • Telescope invented in Holland, early 1600’s
  • Galileo builds his own by 1609, makes several discoveries.
    • The Moon has terrain similar to earth.
    • The sun has imperfections, and rotates
    • Jupiter has at least 4 moons orbiting it.
    • Venus has a complete cycle of phases (like Moon)
the birth of modern astronomy2
The Birth of Modern Astronomy
  • Every discovery

seems to add to the

Copernican Model.

the birth of modern astronomy5
The Birth of Modern Astronomy
  • Galileo, publishes his findings supporting the Heliocentric view.
    • 1616- Named a heretic, work banned.
    • Continues to publish
    • Inquisition- House arrest in 1633 til death in 1642
    • 1992 The Church forgives his “Crimes”
the laws of planetary motion
The Laws of Planetary Motion
  • Johannes Kepler
    • Laws for Planetary Motion (theoretical)
    • Based on Data taken by Tycho Brahe.
      • Kepler became Brahe’s assistant in

Prague in 1600

      • Brahe dies in 1601
      • Kepler inherits Data taken decades

Prior, spends the next 29 years

analyzing it.

the laws of planetary motion1
The Laws of Planetary Motion
  • Looking for a simple explanation for planetary motion within Copernican model.
  • Three Laws

1. A planet’s orbital path is elliptical, with the sun at One Focus.

Semi-Major Axis- Half of the

Long side

Eccentricity- distance between

foci/major axis

the laws of planetary motion3
The Laws of Planetary Motion

2. A planet sweeps out equal area in equal time.

Moves fastest at the closest point

(Perihelion)

Moves slowest at the furthest point

(Aphelion)

Animation

the laws of planetary motion4
The Laws of Planetary Motion

3. The square of the orbital period proportional the cube of the semi-major axis.

P- Period in Earth years

a- Semi-Major Axis in “astronomical units”

1 A.U. = Earth’s SMA,

average Earth-Sun distance

the laws of planetary motion5
The Laws of Planetary Motion
  • The Power of Kepler’s Laws
    • Gives us an accurate scale for the solar system.
    • RADAR puts that scale into concrete measurements
      • 1 A.U. = 149, 597,870 km (92,975,680 miles)
newton s laws
Newton’s Laws
  • Kepler’s Laws-
    • Determined Emperically (observation)
  • What makes the planets follow these Laws?
  • Best Theoretical Explanation
    • Isaac Newton (1642-1727)
      • Laws of Motion
      • Universal Gravitation
      • Calculus
newton s laws1
Newton’s Laws
  • Three Laws of Motion
    • An object at rest, remains at rest; An object in motion maintains its motion, unless acted on by a Net External Force.
    • An object’s acceleration is proportional to the Net force acting on it, and inversely proportional to mass.
    • For every Force, there is an equal and opposite reaction Force.
newton s laws2
Newton’s Laws
  • Universal Gravitation
    • All objects with mass attract each other via the force of gravity.
    • Calculus- proves the elliptical shape of an orbit.
newton s laws of motion
Newton’s Laws of Motion
  • Bodies Actually Orbit Each Other
    • Depends on their relative masses
  • Planet/Sun
newton s laws of motion1
Newton’s Laws of Motion
  • Similar Masses
  • Identical Masses
  • Simulation
newton s laws4
Newton’s Laws
  • Still being tested and verified
    • Comets appear on schedule
    • Spacecraft arrive as planned
      • (Apollo Missions, Mariner, Voyager, Curiosity, etc.)
    • Satellites orbit at specific altitudes/periods
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