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Study Points What did Copernicus do? What did Brahe contribute to the heliocentric vs. geocentric debate? Define perihelion and aphelion. Considering Kepler's three laws of planetary motion (don’t memorize them): What is the shape of a planet’s orbit? (First Law) When a satellite orbits the Earth, does it move faster at perigee or apogee? When a comet orbits the Sun, does it orbit faster at perihelion or at aphelion? (Second Law) Define period (from science)? In our solar system, what planet has the longest period? The shortest? Which planet orbits with the highest speed? Slowest? (Third Law) What did Galileo notice about the Moon, the Sun, Jupiter, and Venus? What did he conclude from these observations? Why does Venus exhibit phases but Mars does not? (Hint: Draw the Sun as well as Venus, Earth and Mars in their orbits. Shade in Venus and Mars. What do they look like from Earth’s view?) State Newton's Universal Law of Gravity. If the mass of 1 of the 2 objects increases, what happens to the gravitational force between the objects? If the distance between the 2 objects increases, what happens to the force? How can you tell if a process is science (what parts are needed)? When science uses the term “theory” such as the “Theory of Evolution,” is that a weak or a strong statement? What backs up any theory in science?
Transcript
Page 1: Study Points - MCTCteachmctcteach.org/astronomy/Astronomy1110/PptsRaquel/... · ⚫What did Copernicus do? Study Points ⚫ What did Brahe contribute to the heliocentric vs. geocentric

Study Points⚫ What did Copernicus do?

⚫ What did Brahe contribute to the heliocentric vs. geocentric debate?

⚫ Define perihelion and aphelion.

⚫ Considering Kepler's three laws of planetary motion (don’t memorize them):

⚫ What is the shape of a planet’s orbit? (First Law)

⚫ When a satellite orbits the Earth, does it move faster at perigee or apogee? When a comet orbits the Sun, does it orbit faster at perihelion or at aphelion? (Second Law)

⚫ Define period (from science)? In our solar system, what planet has the longest period? The shortest? Which planet orbits with the highest speed? Slowest? (Third Law)

⚫ What did Galileo notice about the Moon, the Sun, Jupiter, and Venus? What did he conclude from these observations?

⚫ Why does Venus exhibit phases but Mars does not? (Hint: Draw the Sun as well as Venus, Earth and Mars in their orbits. Shade in Venus and Mars. What do they look like from Earth’s view?)

⚫ State Newton's Universal Law of Gravity. If the mass of 1 of the 2 objects increases, what happens to the gravitational force between the objects? If the distance between the 2 objects increases, what happens to the force?

⚫ How can you tell if a process is science (what parts are needed)?

⚫ When science uses the term “theory” such as the “Theory of Evolution,” is that a weak or a strong statement? What backs up any theory in science?

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Copernican Revolution

~1500 to ~1700

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Copernican Revolution

People Who Contributed*

Copernicus (~1500)

Brahe (~1570)

Kepler (~1600)

Galileo (~1600)

Newton (~1670)

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Copernican Revolution

Copernicus (~1500)

Resurrected heliocentric model*

and made it popular

First suggested by Aristarchus*

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Copernican Revolution

Is solar system geocentric or heliocentric?*

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Copernican Revolution

Both models have:

Circular orbits (heavenly perfection)

Uniform motion (heavens cannot change)

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Copernican Revolution

Both models explain observations…

Sun, Moon, &

Planets

Rise in the East,

Set in the West

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Copernican Revolution

Both models explain observations…

Retrograde

motion of

planets

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Copernican Revolution

Retrograde Motion – Geocentric

Planets ride on epicycles

Sometimes appear to move backwards

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Copernican Revolution

Retrograde Motion – Heliocentric

• One planet overtakes

another planet.

• Slower planet appears to

move backwards.

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Copernican Revolution

Copernicus (~1500)

Brahe (~1570)

Kepler (~1600)

Galileo (~1600)

Newton (~1670)

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Copernican Revolution

Brahe (~1570)

• Built excellent instruments.*

• Collected 20+ years of data from

observations.*

• Measured position of Mars very

accurately.*

• Stayed with geocentric model.*

• Saw a supernova! (the sky changed)

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Copernican Revolution

Copernicus (~1500)

Brahe (~1570)

Kepler (~1600)

Galileo (~1600)

Newton (~1670)

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Copernican Revolution

Kepler (~1600)

Derived three mathematical

laws of planetary motion.

(from Brahe’s data)

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Copernican Revolution

Kepler’s First Law

1. Planets have elliptical orbits around the Sun*Orbits are ellipses (squashed circles)*

PerihelionClosest point

to Sun*

AphelionFarthest point

from Sun*

>

<

Sun

Earth

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Copernican Revolution

Kepler’s First Law

1. Planets have elliptical orbits around the Sun*

The Moon’s obit around Earth is also an ellipse.

perigee apogee

>

<

Earth

Moon

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Copernican Revolution

Kepler’s First Law

1. Planets have elliptical orbits around the Sun*

All orbits can be described as ellipses.*

peri-apsis apo-apsis

>

<

Any object

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Copernican Revolution

Kepler’s Second Law

2. The radius vector sweeps out equal areas in equal times.

Thirty

daysThirty

days

Radius

vector

<

>

>

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Copernican Revolution

Kepler’s Second Law means that…

A planet changes speed*

- faster at perihelion, slower at aphelion*

Perihelion

(faster)

Aphelion

(slower)

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Copernican Revolution

Definition needed for

Kepler’s Third Law

Period = Time to complete one cycle*

Ex: Earth’s period of rotation =?

Ex: Earth’s period of revolution = ?

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Copernican Revolution

Kepler’s Third Law

3. Period2 is proportional to (Radius of orbit)3

• Sometimes written as P2 α r3

• Bigger orbit radius means longer to revolve

• More distant planet takes more time to revolve.*

• More distant planet moves slower.* (slower speed in orbit)

• and

• Closer planet is faster and takes less time to revolve.

• Watch: http://physics.bu.edu/~duffy/HTML5/inner_solar_system_new.html

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Copernican Revolution

1. Planets have elliptical orbits around the Sun*

2. The radius vector sweeps out equal areas in

equal times.

• A planet changes speed*

3. Period2 is proportional to (Radius of orbit)3

• More distant planet takes more time to revolve.*

• More distant planet moves slower.*

Kepler’s 3 Laws

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Copernican Revolution

Kepler’s Laws

Also applies to objects in orbit around a central mass

•Satellites around Earth

•Star around a black hole

•Planets around other stars

•Two stars orbiting each other

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Copernican Revolution

Copernicus (~1500)

Brahe (~1570)

Kepler (~1600)

Galileo (~1600)

Newton (~1670)

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Copernican Revolution

Meanwhile…

Out in the streets…

Galileo (~1600)

Improved and used the telescope(did NOT invent the telescope)

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Copernican Revolution

Galileo observed…

1. Moon craters*

Heavens are not perfect*

Heavens are Earth-like!!!*

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Copernican RevolutionArt and ideas flourished*

El Greco < 1600

Painted imperfect heavens

Cigoli – 1622

Painted

imperfect

cratered Moon

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Front Cover of

G.B. Riccioli's

Almagestum Novum,

1651.

• Important astronomy

reference book

• Image includes

• 3 Models (Copernicus,

Riccioli, Ptolemy)

• Riccioli’s model has

Jupiter and Saturn

centered on Earth

• Solar scope pointing up

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Top of the Riccioli’s famous image

(from previous slide)

• Planets around the Sun

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Copernican Revolution

Heaven is not

perfect!*

Galileo observes…

1. Moon Craters*

2. Sunspots* → Sun Rotates

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Copernican Revolution

3. Galileo observes…

4 Moons

of Jupiter* Earth is

not the

ONLY

center of

motion in

the

heavens

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Copernican Revolution

3. Galileo observes…

4 Moons

of Jupiter* ANDHey, Aristotle.

Earth can move

and pull the

Moon along.

Take that, Aristotle!

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Copernican Revolution

4. Galileo Observes Phases of Venus*

• Geocentric model predicts:

• Crescent phase only and little size change

• Heliocentric predicts:

• All phases AND

• Gibbous is small, while crescent is large

Watch: Venus phases videohttp://galileoandeinstein.physics.virginia.edu/more_stuff/flashlets/PhasesofVenus.htm

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Copernican Revolution

4. Galileo Observes Phases of Venus*

http://astronomy.nmsu.edu/geas/lectures/lecture11/slide02.html

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Copernican Revolution

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Mars Viewed

from Earth:Mars does NOT

show all phases to

Earth because it is

outside of Earth’s

orbit*

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Copernican Revolution

Galileo Observed*

1. Imperfect heavens, like Earth*

• Moon craters*

2. Sunspots*

3. Jupiter’s moons*

4. Phases of Venus*

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Copernican Revolution

Copernicus (~1500)

Brahe (~1570)

Kepler (~1600)

Galileo (~1600)

Newton (~1670)

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Copernican Revolution

Newton (~1700)

HOW planets orbit

(and objects move)

Same laws apply to terrestrial (Earth) objects

and celestial objects*

o called the Newtonian synthesis

o Means Earth and heavens are alike*

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Copernican Revolution

Newton (~1700)

HOW planets orbit

(and objects move)

Newton’s Cannon Demo

Watch: https://physics.weber.edu/schroeder/software/NewtonsCannon.html

• Objects in orbit are continuously falling*

• Floating in space is really falling (not due to zero gravity)

• Watch: Earth’s orbit around Sun http://physics.bu.edu/~duffy/HTML5/gravitation_Earth_Sun.html

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Copernican Revolution

Newton (~1700)

Three Laws of Motion

(Read but not on test)

https://www.grc.nasa.gov/www/k-12/airplane/newton.html

And

The Universal Law of Gravity*

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Copernican Revolution

Newton - Universal Law of Gravity*

Every mass exerts a force on every other mass.

Note the UNIVERSAL statement.

m1 m2

F F

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Copernican Revolution

Newton - Universal Gravity

Gravity always attracts*

Bigger mass means bigger force*

Bigger separation means smaller force*

m1 m2

F F

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Copernican Revolution

Newton - Universal Gravity

2D

mMGF =

m M

F F

D

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Copernican Revolution

Newton - Universal Gravity

m1 m2

F F

D

Side comments:

Predictability, Mechanistic universe

2D

mMGF =

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Copernican Revolution

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Copernican Revolution

Newton - Universal Gravity

m1 m2

F F

D

Side comments:

Predictability, Mechanistic universe

Chaos theory

Why gravity?

2D

mMGF =

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Copernican Revolution

Copernican Revolution - Summary

Geocentric Vs. Heliocentric

Five people, contributions, significance

Copernicus (~1500)

Brahe (~1570)

Kepler (~1600)

Galileo (~1600)

Newton (~1670)

Process of science

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A process of knowing that uncovers the laws

and processes of the universe*

⚫ Way to get past the conflicts in various belief

systems (by looking at evidence)

⚫ Differs from theology or philosophy because

of the scientific method

Science

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1. Observe

2. Question

3. Model (hypothesize)

4. Predict

5. Test

6. Revise

Process of Science*

(Scientific Method)

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You use much of this process all the time in

daily life

Examples: - Car stops….

- Flashlight doesn’t work…

- Cooking…

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Three Hallmarks of Science*

⚫ Natural explanations (not supernatural)

⚫ Models that make testable predictions

⚫ Simplest explanation; K.I.S.S. (Occam’s

Razor)

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Theory vs. Law

⚫ Vote: Which is stronger? Or more

powerful?

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Theory vs. Law

⚫ Vote: Which is stronger? Or more

powerful?

⚫ Theory !!!!!!

⚫ A Theory includes Laws

⚫ “Oh it’s just a theory.”

⚫ It is not just a theory. It is more powerful

than a law.

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Law

⚫ Explains what happens*

⚫ Predicts what will happen in specific cases

⚫ Ex - Universal Law of Gravity

If you drop a rock, it will fall down (and

what force is exerted on it?)

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Theory

⚫ Explains why things happen*

⚫ Includes laws

⚫ Allows predictions of new tests of itself

⚫ Ex - General Theory of Relativity⚫ Explains WHY gravity works

⚫ Includes the Law of Gravity AND more

⚫ Explains the precession of Mercury’s perihelion

⚫ Predicts the existence of Black Holes

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Theory

⚫ Explains why things happen*

⚫ Includes laws

⚫ Allows predictions of new tests of itself

⚫ Supported by many scientists

⚫ Supported by many testable predictions

⚫ Can never can be proven but has not been disproven

⚫ Can always be modified, based on new

data/information*

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Exercise

⚫ Can you investigate this using science?

⚫ If so, does science support the idea?

⚫ If not, why not? (what hallmarks?)

Ex –

People get nuttier during a full Moon.

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Exercise

⚫ Can you investigate these using science?

⚫ If so, does science support the idea?

⚫ If not, why not?1. A car can skid on ice.

2. Your personality is determined by the position of the Sun, Moon, and Planets when you were born.

3. The universe and its contents evolve/change.

4. God exists. (philosophy, not science)

⚫ Test the idea and look for evidence.

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Observation Projects

OBSERVATION PROJECTS: 135 points available, 100 pts maxAll Observations due by midnight (11:59pm) on their due date.

You can hand in the observation during class, email a picture by midnight, or

submit on D2L Assignment Submissions.✓ Earth-Sun Scale Model Due Jan. 28 (10 points) Make scaled model & take picture❑ Sunset – Part 1 Due Feb. 18 (10 points) Take 1st picture of sunset (same location)❑ Moon Phases Due Mar. 5 (10 points) Observe 4 phases & record in table❑ Planetarium (Plan) Due May 5 (10 points) See a show Feb. 4❑ Stargazing (SG) Due May 12 (20 points) Go stargazing & write report❑ Telescope (Tel) Due May 12 (20 points) Look through a telescope ❑ Moon Craters (MC) Due May 12 (10 points) Look at moon craters

FUTURE: (don’t start yet)❑ Student Conference Start Feb. 25; Due Feb. 27 (occurs on Feb. 25) (5 points)❑ Astrophysics Lecture or Report Start Mar. 19; Due Apr. 21 (10 points) Attend

lecture Apr. 14 or write report ❑ Sunset – Part 2 Start Apr. 7; Due Apr. 28 (10 pts) 2nd sunset picture, same location❑ Astronomy News Evaluation Start Mar. 31; Due May 5 (20 pts) New report

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⚫ Continue flashcards of STUDY POINTS

⚫ Do D2L Brightspace Quizzes 1 – 4

⚫ Work on Observations

⚫ Come prepared to Lab for next week – no Lab today

⚫ Test 1 Tuesday, Feb. 11

⚫ To prepare: study points & 4 D2L Brightspace quizzes

⚫ About 60 multiple choice questions. Bring a pencil.

⚫ Optional – bring calculator (not graphing), some in the room

to use

⚫ No notes, not open book

⚫ Grades updated weekly

Homework


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