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Read: Chap 3 09/09/14 – slide 1 A100–Exploring the Universe: The Invention of Science Martin D. Weinberg UMass Astronomy [email protected] September 09, 2014

Martin D. Weinberg UMass Astronomy astron100-mdw ...courses.umass.edu/astron100-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

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Page 1: Martin D. Weinberg UMass Astronomy astron100-mdw ...courses.umass.edu/astron100-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Read: Chap 3 09/09/14 – slide 1

A100–Exploring the Universe: The Invention of Science

Martin D. Weinberg

UMass Astronomy

[email protected]

September 09, 2014

Page 2: Martin D. Weinberg UMass Astronomy astron100-mdw ...courses.umass.edu/astron100-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Announcements

⊲ Announcements

Scientific thinking

Middle East

Greek roots

Philosophy of science

Retrograde motion

Greek cosmology

Celestial sphere

Ptolemy

Geocentric theory

Distance to Sun

Size of Earth

Greek models

Stellar parallax

Time line

Food for thought

Flow of knowledge

Modern Astronomy

Distance to planets

Successes ofCopernicus

Parallax

Tycho’s Universe

Read: Chap 3 09/09/14 – slide 2

Problem Set #1: due this afternoon at 5pm!

Page 3: Martin D. Weinberg UMass Astronomy astron100-mdw ...courses.umass.edu/astron100-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Announcements

⊲ Announcements

Scientific thinking

Middle East

Greek roots

Philosophy of science

Retrograde motion

Greek cosmology

Celestial sphere

Ptolemy

Geocentric theory

Distance to Sun

Size of Earth

Greek models

Stellar parallax

Time line

Food for thought

Flow of knowledge

Modern Astronomy

Distance to planets

Successes ofCopernicus

Parallax

Tycho’s Universe

Read: Chap 3 09/09/14 – slide 2

Problem Set #1: due this afternoon at 5pm!

Reminder: turn in extra-credit questions after class

Page 4: Martin D. Weinberg UMass Astronomy astron100-mdw ...courses.umass.edu/astron100-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Announcements

⊲ Announcements

Scientific thinking

Middle East

Greek roots

Philosophy of science

Retrograde motion

Greek cosmology

Celestial sphere

Ptolemy

Geocentric theory

Distance to Sun

Size of Earth

Greek models

Stellar parallax

Time line

Food for thought

Flow of knowledge

Modern Astronomy

Distance to planets

Successes ofCopernicus

Parallax

Tycho’s Universe

Read: Chap 3 09/09/14 – slide 2

Problem Set #1: due this afternoon at 5pm!

Reminder: turn in extra-credit questions after class

Getting help (see “Contact” on web site)

⊲ TAs are available by appointment

⊲ Blog: http://blogs.umass.edu/astron100-mdw

Page 5: Martin D. Weinberg UMass Astronomy astron100-mdw ...courses.umass.edu/astron100-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Announcements

⊲ Announcements

Scientific thinking

Middle East

Greek roots

Philosophy of science

Retrograde motion

Greek cosmology

Celestial sphere

Ptolemy

Geocentric theory

Distance to Sun

Size of Earth

Greek models

Stellar parallax

Time line

Food for thought

Flow of knowledge

Modern Astronomy

Distance to planets

Successes ofCopernicus

Parallax

Tycho’s Universe

Read: Chap 3 09/09/14 – slide 2

Problem Set #1: due this afternoon at 5pm!

Reminder: turn in extra-credit questions after class

Getting help (see “Contact” on web site)

⊲ TAs are available by appointment

⊲ Blog: http://blogs.umass.edu/astron100-mdw

Today’s topic: Motion of Celestial bodies

⊲ Led to modern science

⊲ Philosophy: scientific method

⊲ Discovery of Laws of Motion and Gravity

Page 6: Martin D. Weinberg UMass Astronomy astron100-mdw ...courses.umass.edu/astron100-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Announcements

⊲ Announcements

Scientific thinking

Middle East

Greek roots

Philosophy of science

Retrograde motion

Greek cosmology

Celestial sphere

Ptolemy

Geocentric theory

Distance to Sun

Size of Earth

Greek models

Stellar parallax

Time line

Food for thought

Flow of knowledge

Modern Astronomy

Distance to planets

Successes ofCopernicus

Parallax

Tycho’s Universe

Read: Chap 3 09/09/14 – slide 2

Problem Set #1: due this afternoon at 5pm!

Reminder: turn in extra-credit questions after class

Getting help (see “Contact” on web site)

⊲ TAs are available by appointment

⊲ Blog: http://blogs.umass.edu/astron100-mdw

Today’s topic: Motion of Celestial bodies

⊲ Led to modern science

⊲ Philosophy: scientific method

⊲ Discovery of Laws of Motion and Gravity

Questions?

Page 7: Martin D. Weinberg UMass Astronomy astron100-mdw ...courses.umass.edu/astron100-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Scientific thinking

Announcements

⊲ Scientific thinking

Middle East

Greek roots

Philosophy of science

Retrograde motion

Greek cosmology

Celestial sphere

Ptolemy

Geocentric theory

Distance to Sun

Size of Earth

Greek models

Stellar parallax

Time line

Food for thought

Flow of knowledge

Modern Astronomy

Distance to planets

Successes ofCopernicus

Parallax

Tycho’s Universe

Read: Chap 3 09/09/14 – slide 3

Scientific thinking is based on everyday ideas of

observation and trial-and-error experiments.

Page 8: Martin D. Weinberg UMass Astronomy astron100-mdw ...courses.umass.edu/astron100-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Scientific thinking

Announcements

⊲ Scientific thinking

Middle East

Greek roots

Philosophy of science

Retrograde motion

Greek cosmology

Celestial sphere

Ptolemy

Geocentric theory

Distance to Sun

Size of Earth

Greek models

Stellar parallax

Time line

Food for thought

Flow of knowledge

Modern Astronomy

Distance to planets

Successes ofCopernicus

Parallax

Tycho’s Universe

Read: Chap 3 09/09/14 – slide 3

Scientific thinking is based on everyday ideas of

observation and trial-and-error experiments.

Astronomical observations had practical benefit

⊲ Keeping track of time and seasons

⊲ Agriculture

⊲ Religious and ceremonial purposes

⊲ Aid to navigation

Days of the week named for the Sun, Moon and visible

planets

⊲ Evidence of the importance of astronomy

Page 9: Martin D. Weinberg UMass Astronomy astron100-mdw ...courses.umass.edu/astron100-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Scientific thinking

Announcements

⊲ Scientific thinking

Middle East

Greek roots

Philosophy of science

Retrograde motion

Greek cosmology

Celestial sphere

Ptolemy

Geocentric theory

Distance to Sun

Size of Earth

Greek models

Stellar parallax

Time line

Food for thought

Flow of knowledge

Modern Astronomy

Distance to planets

Successes ofCopernicus

Parallax

Tycho’s Universe

Read: Chap 3 09/09/14 – slide 4

Page 10: Martin D. Weinberg UMass Astronomy astron100-mdw ...courses.umass.edu/astron100-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Thought question

Announcements

⊲ Scientific thinking

Middle East

Greek roots

Philosophy of science

Retrograde motion

Greek cosmology

Celestial sphere

Ptolemy

Geocentric theory

Distance to Sun

Size of Earth

Greek models

Stellar parallax

Time line

Food for thought

Flow of knowledge

Modern Astronomy

Distance to planets

Successes ofCopernicus

Parallax

Tycho’s Universe

Read: Chap 3 09/09/14 – slide 5

Why do we measure time with 7-day weeks?

A. because of the Old Testament description of the genesis

B. because of Babylonian calendar

C. because there are four weeks in the lunar month

Page 11: Martin D. Weinberg UMass Astronomy astron100-mdw ...courses.umass.edu/astron100-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Thought question

Announcements

⊲ Scientific thinking

Middle East

Greek roots

Philosophy of science

Retrograde motion

Greek cosmology

Celestial sphere

Ptolemy

Geocentric theory

Distance to Sun

Size of Earth

Greek models

Stellar parallax

Time line

Food for thought

Flow of knowledge

Modern Astronomy

Distance to planets

Successes ofCopernicus

Parallax

Tycho’s Universe

Read: Chap 3 09/09/14 – slide 5

Why do we measure time with 7-day weeks?

A. because of the Old Testament description of the genesis

B. because of Babylonian calendar

C. because there are four weeks in the lunar month

Page 12: Martin D. Weinberg UMass Astronomy astron100-mdw ...courses.umass.edu/astron100-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Thought question

Announcements

⊲ Scientific thinking

Middle East

Greek roots

Philosophy of science

Retrograde motion

Greek cosmology

Celestial sphere

Ptolemy

Geocentric theory

Distance to Sun

Size of Earth

Greek models

Stellar parallax

Time line

Food for thought

Flow of knowledge

Modern Astronomy

Distance to planets

Successes ofCopernicus

Parallax

Tycho’s Universe

Read: Chap 3 09/09/14 – slide 5

Why do we measure time with 7-day weeks?

A. because of the Old Testament description of the genesis

B. because of Babylonian calendar

C. because there are four weeks in the lunar month

This answer is

my opinion. . .

Page 13: Martin D. Weinberg UMass Astronomy astron100-mdw ...courses.umass.edu/astron100-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Examples

Read: Chap 3 09/09/14 – slide 6

Egyptian obelisk:

Shadows tell the time of day

Page 14: Martin D. Weinberg UMass Astronomy astron100-mdw ...courses.umass.edu/astron100-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Examples

Read: Chap 3 09/09/14 – slide 7

England: Stonehenge ≈ 1550 B.C.

Page 15: Martin D. Weinberg UMass Astronomy astron100-mdw ...courses.umass.edu/astron100-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Examples

Read: Chap 3 09/09/14 – slide 8

China: Earliest known records of supernova explosions (1400 B.C.)

Page 16: Martin D. Weinberg UMass Astronomy astron100-mdw ...courses.umass.edu/astron100-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

What have we learned?

Announcements

⊲ Scientific thinking

Middle East

Greek roots

Philosophy of science

Retrograde motion

Greek cosmology

Celestial sphere

Ptolemy

Geocentric theory

Distance to Sun

Size of Earth

Greek models

Stellar parallax

Time line

Food for thought

Flow of knowledge

Modern Astronomy

Distance to planets

Successes ofCopernicus

Parallax

Tycho’s Universe

Read: Chap 3 09/09/14 – slide 9

In what ways do all humans use scientific thinking?

⊲ Same type of trial and error thinking that we use in

everyday live, but carefully organized

How did astronomical observations benefit ancient

societies?

⊲ Keeping track of time and seasons; navigation

What did ancient civilizations achieve in astronomy?

⊲ To tell the time of day and year, to track cycles of

the Moon, to observe planets and stars.

⊲ Many ancient structures aided in astronomical

observations.

Page 17: Martin D. Weinberg UMass Astronomy astron100-mdw ...courses.umass.edu/astron100-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

What have we learned?

Announcements

⊲ Scientific thinking

Middle East

Greek roots

Philosophy of science

Retrograde motion

Greek cosmology

Celestial sphere

Ptolemy

Geocentric theory

Distance to Sun

Size of Earth

Greek models

Stellar parallax

Time line

Food for thought

Flow of knowledge

Modern Astronomy

Distance to planets

Successes ofCopernicus

Parallax

Tycho’s Universe

Read: Chap 3 09/09/14 – slide 9

In what ways do all humans use scientific thinking?

⊲ Same type of trial and error thinking that we use in

everyday live, but carefully organized

How did astronomical observations benefit ancient

societies?

⊲ Keeping track of time and seasons; navigation

What did ancient civilizations achieve in astronomy?

⊲ To tell the time of day and year, to track cycles of

the Moon, to observe planets and stars.

⊲ Many ancient structures aided in astronomical

observations.

Page 18: Martin D. Weinberg UMass Astronomy astron100-mdw ...courses.umass.edu/astron100-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

What have we learned?

Announcements

⊲ Scientific thinking

Middle East

Greek roots

Philosophy of science

Retrograde motion

Greek cosmology

Celestial sphere

Ptolemy

Geocentric theory

Distance to Sun

Size of Earth

Greek models

Stellar parallax

Time line

Food for thought

Flow of knowledge

Modern Astronomy

Distance to planets

Successes ofCopernicus

Parallax

Tycho’s Universe

Read: Chap 3 09/09/14 – slide 9

In what ways do all humans use scientific thinking?

⊲ Same type of trial and error thinking that we use in

everyday live, but carefully organized

How did astronomical observations benefit ancient

societies?

⊲ Keeping track of time and seasons; navigation

What did ancient civilizations achieve in astronomy?

⊲ To tell the time of day and year, to track cycles of

the Moon, to observe planets and stars.

⊲ Many ancient structures aided in astronomical

observations.

Page 19: Martin D. Weinberg UMass Astronomy astron100-mdw ...courses.umass.edu/astron100-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Middle East

Announcements

Scientific thinking

⊲ Middle East

Greek roots

Philosophy of science

Retrograde motion

Greek cosmology

Celestial sphere

Ptolemy

Geocentric theory

Distance to Sun

Size of Earth

Greek models

Stellar parallax

Time line

Food for thought

Flow of knowledge

Modern Astronomy

Distance to planets

Successes ofCopernicus

Parallax

Tycho’s Universe

Read: Chap 3 09/09/14 – slide 10

Our mathematical and scientific heritage originated with the

civilizations of the Middle East

Page 20: Martin D. Weinberg UMass Astronomy astron100-mdw ...courses.umass.edu/astron100-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Greek roots of science

Announcements

Scientific thinking

Middle East

⊲ Greek roots

Philosophy of science

Retrograde motion

Greek cosmology

Celestial sphere

Ptolemy

Geocentric theory

Distance to Sun

Size of Earth

Greek models

Stellar parallax

Time line

Food for thought

Flow of knowledge

Modern Astronomy

Distance to planets

Successes ofCopernicus

Parallax

Tycho’s Universe

Read: Chap 3 09/09/14 – slide 11

Why does modern science trace its roots to the Greeks?

Greek geocentric model

(≈ 400 B.C.)

Greeks were the first peo-

ple known to make mod-

els of nature.

They tried to explain pat-

terns in nature without re-

sorting to myth or the su-

pernatural.

Used mathematics to

make ideas precise and

predictive

Page 21: Martin D. Weinberg UMass Astronomy astron100-mdw ...courses.umass.edu/astron100-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Philosophy of science

Announcements

Scientific thinking

Middle East

Greek roots

⊲Philosophy ofscience

Retrograde motion

Greek cosmology

Celestial sphere

Ptolemy

Geocentric theory

Distance to Sun

Size of Earth

Greek models

Stellar parallax

Time line

Food for thought

Flow of knowledge

Modern Astronomy

Distance to planets

Successes ofCopernicus

Parallax

Tycho’s Universe

Read: Chap 3 09/09/14 – slide 12

How science works . . .

May be many models that describe apparent reality

Science chooses the one with predictive power

Predictive power implies physical laws

Page 22: Martin D. Weinberg UMass Astronomy astron100-mdw ...courses.umass.edu/astron100-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Philosophy of science

Announcements

Scientific thinking

Middle East

Greek roots

⊲Philosophy ofscience

Retrograde motion

Greek cosmology

Celestial sphere

Ptolemy

Geocentric theory

Distance to Sun

Size of Earth

Greek models

Stellar parallax

Time line

Food for thought

Flow of knowledge

Modern Astronomy

Distance to planets

Successes ofCopernicus

Parallax

Tycho’s Universe

Read: Chap 3 09/09/14 – slide 12

How science works . . .

May be many models that describe apparent reality

Science chooses the one with predictive power

Predictive power implies physical laws

The Scientific Method

Theories are subject to revision in light of new data

Simple theories are preferred to complicated theories

without additional predictive power

=⇒Occam’s Razor

Page 23: Martin D. Weinberg UMass Astronomy astron100-mdw ...courses.umass.edu/astron100-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

The Copernican Revolution

Announcements

Scientific thinking

Middle East

Greek roots

⊲Philosophy ofscience

Retrograde motion

Greek cosmology

Celestial sphere

Ptolemy

Geocentric theory

Distance to Sun

Size of Earth

Greek models

Stellar parallax

Time line

Food for thought

Flow of knowledge

Modern Astronomy

Distance to planets

Successes ofCopernicus

Parallax

Tycho’s Universe

Read: Chap 3 09/09/14 – slide 13

Key questions:

How did Copernicus, Tycho, and Kepler challenge the

Earth-centered model?

What are Kepler’s three laws of planetary motion?

How did Galileo solidify the Copernican revolution?

Page 24: Martin D. Weinberg UMass Astronomy astron100-mdw ...courses.umass.edu/astron100-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Retrograde motion: key problem

Announcements

Scientific thinking

Middle East

Greek roots

Philosophy of science

⊲Retrogrademotion

Greek cosmology

Celestial sphere

Ptolemy

Geocentric theory

Distance to Sun

Size of Earth

Greek models

Stellar parallax

Time line

Food for thought

Flow of knowledge

Modern Astronomy

Distance to planets

Successes ofCopernicus

Parallax

Tycho’s Universe

Read: Chap 3 09/09/14 – slide 14

Over a period of 10 weeks, Mars appears to stop, back up,

then go forward again.

Planets mean wanderers

Outstanding problem for Greek astronomers and

philosophers

Example: path of Mars in 2005-2006

Page 25: Martin D. Weinberg UMass Astronomy astron100-mdw ...courses.umass.edu/astron100-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Greek cosmology

Announcements

Scientific thinking

Middle East

Greek roots

Philosophy of science

Retrograde motion

⊲ Greek cosmology

Celestial sphere

Ptolemy

Geocentric theory

Distance to Sun

Size of Earth

Greek models

Stellar parallax

Time line

Food for thought

Flow of knowledge

Modern Astronomy

Distance to planets

Successes ofCopernicus

Parallax

Tycho’s Universe

Read: Chap 3 09/09/14 – slide 15

How did the Greeks explain planetary motion?

Basic features of Greek geocentric model:

Plato

Earth at the center of the Universe

Heavens must be perfect

Objects moving on perfect spheres or

in perfect circles

Aristotle

Page 26: Martin D. Weinberg UMass Astronomy astron100-mdw ...courses.umass.edu/astron100-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Celestial sphere

Announcements

Scientific thinking

Middle East

Greek roots

Philosophy of science

Retrograde motion

Greek cosmology

⊲ Celestial sphere

Ptolemy

Geocentric theory

Distance to Sun

Size of Earth

Greek models

Stellar parallax

Time line

Food for thought

Flow of knowledge

Modern Astronomy

Distance to planets

Successes ofCopernicus

Parallax

Tycho’s Universe

Read: Chap 3 09/09/14 – slide 16

Huge rotating sphere, centered on but much, much

larger than the Earth

All objects in the sky beyond the planets can be thought

of as lying upon the sphere

Page 27: Martin D. Weinberg UMass Astronomy astron100-mdw ...courses.umass.edu/astron100-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Ptolemy

Announcements

Scientific thinking

Middle East

Greek roots

Philosophy of science

Retrograde motion

Greek cosmology

Celestial sphere

⊲ Ptolemy

Geocentric theory

Distance to Sun

Size of Earth

Greek models

Stellar parallax

Time line

Food for thought

Flow of knowledge

Modern Astronomy

Distance to planets

Successes ofCopernicus

Parallax

Tycho’s Universe

Read: Chap 3 09/09/14 – slide 17

The most sophisticated geocen-

tric model was that of Ptolemy

(A.D. 100-170) – the Ptolemaic

model:

Sufficiently accurate to re-

main in use for 1,500

years (good to about 1

deg of arc)

Arabic translation of

Ptolemy’s work named

Almagest (“the greatest

compilation”)

Page 28: Martin D. Weinberg UMass Astronomy astron100-mdw ...courses.umass.edu/astron100-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Retrograde motion

Announcements

Scientific thinking

Middle East

Greek roots

Philosophy of science

Retrograde motion

Greek cosmology

Celestial sphere

Ptolemy

⊲ Geocentric theory

Distance to Sun

Size of Earth

Greek models

Stellar parallax

Time line

Food for thought

Flow of knowledge

Modern Astronomy

Distance to planets

Successes ofCopernicus

Parallax

Tycho’s Universe

Read: Chap 3 09/09/14 – slide 18

But this theory made it difficult to explain apparent retrograde

motion of planets. . .

Ptolemaic Geocentric Theory (elaborate mechanism)

Page 29: Martin D. Weinberg UMass Astronomy astron100-mdw ...courses.umass.edu/astron100-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Retrograde motion

Announcements

Scientific thinking

Middle East

Greek roots

Philosophy of science

Retrograde motion

Greek cosmology

Celestial sphere

Ptolemy

⊲ Geocentric theory

Distance to Sun

Size of Earth

Greek models

Stellar parallax

Time line

Food for thought

Flow of knowledge

Modern Astronomy

Distance to planets

Successes ofCopernicus

Parallax

Tycho’s Universe

Read: Chap 3 09/09/14 – slide 18

But this theory made it difficult to explain apparent retrograde

motion of planets. . .

Ptolemaic Geocentric Theory (elaborate mechanism)

Page 30: Martin D. Weinberg UMass Astronomy astron100-mdw ...courses.umass.edu/astron100-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Retrograde motion

Announcements

Scientific thinking

Middle East

Greek roots

Philosophy of science

Retrograde motion

Greek cosmology

Celestial sphere

Ptolemy

⊲ Geocentric theory

Distance to Sun

Size of Earth

Greek models

Stellar parallax

Time line

Food for thought

Flow of knowledge

Modern Astronomy

Distance to planets

Successes ofCopernicus

Parallax

Tycho’s Universe

Read: Chap 3 09/09/14 – slide 18

But this theory made it difficult to explain apparent retrograde

motion of planets. . .

Ptolemaic Geocentric Theory (elaborate mechanism)

Page 31: Martin D. Weinberg UMass Astronomy astron100-mdw ...courses.umass.edu/astron100-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Ptolemy

Announcements

Scientific thinking

Middle East

Greek roots

Philosophy of science

Retrograde motion

Greek cosmology

Celestial sphere

Ptolemy

⊲ Geocentric theory

Distance to Sun

Size of Earth

Greek models

Stellar parallax

Time line

Food for thought

Flow of knowledge

Modern Astronomy

Distance to planets

Successes ofCopernicus

Parallax

Tycho’s Universe

Read: Chap 3 09/09/14 – slide 19

In the Ptolemaic model,

the planets really do go

backward . . .

Page 32: Martin D. Weinberg UMass Astronomy astron100-mdw ...courses.umass.edu/astron100-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Retrograde motion

Announcements

Scientific thinking

Middle East

Greek roots

Philosophy of science

Retrograde motion

Greek cosmology

Celestial sphere

Ptolemy

⊲ Geocentric theory

Distance to Sun

Size of Earth

Greek models

Stellar parallax

Time line

Food for thought

Flow of knowledge

Modern Astronomy

Distance to planets

Successes ofCopernicus

Parallax

Tycho’s Universe

Read: Chap 3 09/09/14 – slide 20

Heliocentric Theory

Simple explanation

Page 33: Martin D. Weinberg UMass Astronomy astron100-mdw ...courses.umass.edu/astron100-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Distance to Sun

Announcements

Scientific thinking

Middle East

Greek roots

Philosophy of science

Retrograde motion

Greek cosmology

Celestial sphere

Ptolemy

Geocentric theory

⊲ Distance to Sun

Size of Earth

Greek models

Stellar parallax

Time line

Food for thought

Flow of knowledge

Modern Astronomy

Distance to planets

Successes ofCopernicus

Parallax

Tycho’s Universe

Read: Chap 3 09/09/14 – slide 21

Sun

Last quarter moon

First quarter moon

Earth

Aristarchus of Samos — 280 BC

Heliocentric theory

Page 34: Martin D. Weinberg UMass Astronomy astron100-mdw ...courses.umass.edu/astron100-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Size of Earth

Read: Chap 3 09/09/14 – slide 22

Eratosthenes (≈ 240 BC)

Measurements:

⊲ Syene to Alexandria

⊲ distance ≈ 5000 stadia

⊲ angle = 7◦

Page 35: Martin D. Weinberg UMass Astronomy astron100-mdw ...courses.umass.edu/astron100-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Size of Earth

Read: Chap 3 09/09/14 – slide 22

Eratosthenes (≈ 240 BC)

Measurements:

⊲ Syene to Alexandria

⊲ distance ≈ 5000 stadia

⊲ angle = 7◦

Calculate circumference of Earth:

⊲ 7/360× (circum. Earth) = 5000 stadia

⊲ circum. Earth = 5000× 360/7 stadia ≈ 250,000 stadia

Compare to modern value (≈ 40,100 km):

⊲ Greek stadium 1/6 km =⇒ 250,000 stadia ≈ 42,000 km

Page 36: Martin D. Weinberg UMass Astronomy astron100-mdw ...courses.umass.edu/astron100-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Models: motions of planets

Announcements

Scientific thinking

Middle East

Greek roots

Philosophy of science

Retrograde motion

Greek cosmology

Celestial sphere

Ptolemy

Geocentric theory

Distance to Sun

Size of Earth

⊲ Greek models

Stellar parallax

Time line

Food for thought

Flow of knowledge

Modern Astronomy

Distance to planets

Successes ofCopernicus

Parallax

Tycho’s Universe

Read: Chap 3 09/09/14 – slide 23

Greek cosmology

Heliocentric model

Page 37: Martin D. Weinberg UMass Astronomy astron100-mdw ...courses.umass.edu/astron100-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Models: motions of planets

Announcements

Scientific thinking

Middle East

Greek roots

Philosophy of science

Retrograde motion

Greek cosmology

Celestial sphere

Ptolemy

Geocentric theory

Distance to Sun

Size of Earth

⊲ Greek models

Stellar parallax

Time line

Food for thought

Flow of knowledge

Modern Astronomy

Distance to planets

Successes ofCopernicus

Parallax

Tycho’s Universe

Read: Chap 3 09/09/14 – slide 23

Greek cosmology

Heliocentric model

Geocentric model

Page 38: Martin D. Weinberg UMass Astronomy astron100-mdw ...courses.umass.edu/astron100-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Stellar parallax

Announcements

Scientific thinking

Middle East

Greek roots

Philosophy of science

Retrograde motion

Greek cosmology

Celestial sphere

Ptolemy

Geocentric theory

Distance to Sun

Size of Earth

Greek models

⊲ Stellar parallax

Time line

Food for thought

Flow of knowledge

Modern Astronomy

Distance to planets

Successes ofCopernicus

Parallax

Tycho’s Universe

Read: Chap 3 09/09/14 – slide 24

Heliocentric theory predicts stellar parallaxViewpoint A: ob-

ject in front of blue

square

Viewpoint B: ob-

ject in front of red

square

“Stereo” or 3D vi-

sion

Page 39: Martin D. Weinberg UMass Astronomy astron100-mdw ...courses.umass.edu/astron100-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Stellar parallax

Announcements

Scientific thinking

Middle East

Greek roots

Philosophy of science

Retrograde motion

Greek cosmology

Celestial sphere

Ptolemy

Geocentric theory

Distance to Sun

Size of Earth

Greek models

⊲ Stellar parallax

Time line

Food for thought

Flow of knowledge

Modern Astronomy

Distance to planets

Successes ofCopernicus

Parallax

Tycho’s Universe

Read: Chap 3 09/09/14 – slide 24

Heliocentric theory predicts stellar parallaxViewpoint A: ob-

ject in front of blue

square

Viewpoint B: ob-

ject in front of red

square

“Stereo” or 3D vi-

sion

Stellar paralax was not observed!

Page 40: Martin D. Weinberg UMass Astronomy astron100-mdw ...courses.umass.edu/astron100-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Time line: review

Read: Chap 3 09/09/14 – slide 25

Page 41: Martin D. Weinberg UMass Astronomy astron100-mdw ...courses.umass.edu/astron100-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Time line: review

Read: Chap 3 09/09/14 – slide 25

Page 42: Martin D. Weinberg UMass Astronomy astron100-mdw ...courses.umass.edu/astron100-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Food for thought

Announcements

Scientific thinking

Middle East

Greek roots

Philosophy of science

Retrograde motion

Greek cosmology

Celestial sphere

Ptolemy

Geocentric theory

Distance to Sun

Size of Earth

Greek models

Stellar parallax

Time line

⊲ Food for thought

Flow of knowledge

Modern Astronomy

Distance to planets

Successes ofCopernicus

Parallax

Tycho’s Universe

Read: Chap 3 09/09/14 – slide 26

Which of the following is NOT a fundamental

difference between the geocentric and

Sun-centered models of the solar system?

1. Earth is stationary in the geocentric model but moves

around Sun in Sun-centered model.

2. Retrograde motion is real (planets really go backward)

in geocentric model but only apparent (planets don’t

really turn around) in Sun-centered model.

3. Stellar parallax is expected in the Sun-centered model

but not in the Earth-centered model.

4. The geocentric model is useless for predicting planetary

positions in the sky, while even the earliest Sun-centered

models worked almost perfectly.

Page 43: Martin D. Weinberg UMass Astronomy astron100-mdw ...courses.umass.edu/astron100-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Food for thought

Announcements

Scientific thinking

Middle East

Greek roots

Philosophy of science

Retrograde motion

Greek cosmology

Celestial sphere

Ptolemy

Geocentric theory

Distance to Sun

Size of Earth

Greek models

Stellar parallax

Time line

⊲ Food for thought

Flow of knowledge

Modern Astronomy

Distance to planets

Successes ofCopernicus

Parallax

Tycho’s Universe

Read: Chap 3 09/09/14 – slide 26

Which of the following is NOT a fundamental

difference between the geocentric and

Sun-centered models of the solar system?

1. Earth is stationary in the geocentric model but moves

around Sun in Sun-centered model.

2. Retrograde motion is real (planets really go backward)

in geocentric model but only apparent (planets don’t

really turn around) in Sun-centered model.

3. Stellar parallax is expected in the Sun-centered model

but not in the Earth-centered model.

4. The geocentric model is useless for predicting planetary

positions in the sky, while even the earliest Sun-centered

models worked almost perfectly.

Page 44: Martin D. Weinberg UMass Astronomy astron100-mdw ...courses.umass.edu/astron100-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Flow of knowledge

Read: Chap 3 09/09/14 – slide 27

How was Greek knowledge preserved through history?

Library at Alexandria, Egypt

Muslim world preserved and enhanced the knowledge they received

from the Greeks

Al-Mamuns House of Wisdom in Baghdad was a great center of

learning around A.D. 800

With the fall of Constantinople (Istanbul) in 1453, Eastern scholars

headed west to Europe, carrying knowledge that helped ignite the

European Renaissance.

Page 45: Martin D. Weinberg UMass Astronomy astron100-mdw ...courses.umass.edu/astron100-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Beginnings of Modern Astronomy

Announcements

Scientific thinking

Middle East

Greek roots

Philosophy of science

Retrograde motion

Greek cosmology

Celestial sphere

Ptolemy

Geocentric theory

Distance to Sun

Size of Earth

Greek models

Stellar parallax

Time line

Food for thought

Flow of knowledge

⊲ModernAstronomy

Distance to planets

Successes ofCopernicus

Parallax

Tycho’s Universe

Read: Chap 3 09/09/14 – slide 28

How did Copernicus, Tycho, and Keplerchallenge the Earth-centered idea?

Copernicus (1473-1543)

Proposed Sun-centered model

(published 1543)

Used model to determine layout

of solar system (planetary dis-

tances in AU)

Page 46: Martin D. Weinberg UMass Astronomy astron100-mdw ...courses.umass.edu/astron100-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Beginnings of Modern Astronomy

Announcements

Scientific thinking

Middle East

Greek roots

Philosophy of science

Retrograde motion

Greek cosmology

Celestial sphere

Ptolemy

Geocentric theory

Distance to Sun

Size of Earth

Greek models

Stellar parallax

Time line

Food for thought

Flow of knowledge

⊲ModernAstronomy

Distance to planets

Successes ofCopernicus

Parallax

Tycho’s Universe

Read: Chap 3 09/09/14 – slide 28

How did Copernicus, Tycho, and Keplerchallenge the Earth-centered idea?

Copernicus (1473-1543)

Proposed Sun-centered model

(published 1543)

Used model to determine layout

of solar system (planetary dis-

tances in AU)

But. . .

Model was no more accurate

than Ptolemaic model in predict-

ing planetary positions, because

it still used perfect circles

Page 47: Martin D. Weinberg UMass Astronomy astron100-mdw ...courses.umass.edu/astron100-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Distance to planets

Announcements

Scientific thinking

Middle East

Greek roots

Philosophy of science

Retrograde motion

Greek cosmology

Celestial sphere

Ptolemy

Geocentric theory

Distance to Sun

Size of Earth

Greek models

Stellar parallax

Time line

Food for thought

Flow of knowledge

Modern Astronomy

⊲Distance toplanets

Successes ofCopernicus

Parallax

Tycho’s Universe

Read: Chap 3 09/09/14 – slide 29

Sun

Venus

Earth

Copernicus—1500 AD

Revival of heliocentric theory

Page 48: Martin D. Weinberg UMass Astronomy astron100-mdw ...courses.umass.edu/astron100-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Successes of Copernicus

Read: Chap 3 09/09/14 – slide 30

Explained retrograde

motion

Explained inferior and

superior planets

Found a relationship be-

tween the orbital period

and the distance of a

planet from the Sun

Page 49: Martin D. Weinberg UMass Astronomy astron100-mdw ...courses.umass.edu/astron100-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Successes of Copernicus

Announcements

Scientific thinking

Middle East

Greek roots

Philosophy of science

Retrograde motion

Greek cosmology

Celestial sphere

Ptolemy

Geocentric theory

Distance to Sun

Size of Earth

Greek models

Stellar parallax

Time line

Food for thought

Flow of knowledge

Modern Astronomy

Distance to planets

⊲Successes ofCopernicus

Parallax

Tycho’s Universe

Read: Chap 3 09/09/14 – slide 31

Distances to planets inferred by Copernicus

Page 50: Martin D. Weinberg UMass Astronomy astron100-mdw ...courses.umass.edu/astron100-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Successes of Copernicus

Announcements

Scientific thinking

Middle East

Greek roots

Philosophy of science

Retrograde motion

Greek cosmology

Celestial sphere

Ptolemy

Geocentric theory

Distance to Sun

Size of Earth

Greek models

Stellar parallax

Time line

Food for thought

Flow of knowledge

Modern Astronomy

Distance to planets

⊲Successes ofCopernicus

Parallax

Tycho’s Universe

Read: Chap 3 09/09/14 – slide 31

Distances to planets inferred by Copernicus

Remarkably accurate by today’s standards

Outer planets not yet discovered

Page 51: Martin D. Weinberg UMass Astronomy astron100-mdw ...courses.umass.edu/astron100-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Parallax

Announcements

Scientific thinking

Middle East

Greek roots

Philosophy of science

Retrograde motion

Greek cosmology

Celestial sphere

Ptolemy

Geocentric theory

Distance to Sun

Size of Earth

Greek models

Stellar parallax

Time line

Food for thought

Flow of knowledge

Modern Astronomy

Distance to planets

Successes ofCopernicus

⊲ Parallax

Tycho’s Universe

Read: Chap 3 09/09/14 – slide 32

Tycho Brahe [1546-1601]

observed supernova

(1572)

Very bright must be

nearby if Copernicus’

theory is correct

Attempted to measure dis-

tance geometrically

No shift or parallax

Page 52: Martin D. Weinberg UMass Astronomy astron100-mdw ...courses.umass.edu/astron100-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Parallax

Announcements

Scientific thinking

Middle East

Greek roots

Philosophy of science

Retrograde motion

Greek cosmology

Celestial sphere

Ptolemy

Geocentric theory

Distance to Sun

Size of Earth

Greek models

Stellar parallax

Time line

Food for thought

Flow of knowledge

Modern Astronomy

Distance to planets

Successes ofCopernicus

⊲ Parallax

Tycho’s Universe

Read: Chap 3 09/09/14 – slide 32

Tycho Brahe [1546-1601]

observed supernova

(1572)

Very bright must be

nearby if Copernicus’

theory is correct

Attempted to measure dis-

tance geometrically

No shift or parallax

Concluded that Copernicus must be wrong

Parallax not observed until the 19th century!

Page 53: Martin D. Weinberg UMass Astronomy astron100-mdw ...courses.umass.edu/astron100-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Tycho Brahe’s Universe

Announcements

Scientific thinking

Middle East

Greek roots

Philosophy of science

Retrograde motion

Greek cosmology

Celestial sphere

Ptolemy

Geocentric theory

Distance to Sun

Size of Earth

Greek models

Stellar parallax

Time line

Food for thought

Flow of knowledge

Modern Astronomy

Distance to planets

Successes ofCopernicus

Parallax

⊲ Tycho’s Universe

Read: Chap 3 09/09/14 – slide 33

Most of Solar System re-

volves around Sun

Sun revolves around

Earth

Page 54: Martin D. Weinberg UMass Astronomy astron100-mdw ...courses.umass.edu/astron100-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Tycho Brahe’s Tools

Read: Chap 3 09/09/14 – slide 34

Telescope not yet invented

Compiled the most accurate (one arc

minute) naked eye measurements ever

made of planetary positions.

Still could not detect stellar parallax,

and thus still thought Earth must be at

center of solar system (but recognized

that other planets go around Sun)

Hired Kepler, who used Tycho’s observa-

tions to discover the truth about plane-

tary motion