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Read: Chap 3 01/29/19 – slide 1 A100H–Exploring the Universe: The Invention of Science Martin D. Weinberg UMass Astronomy [email protected] January 29, 2019

Martin D. Weinberg UMass Astronomy astron100h-mdw ...courses.umass.edu/astron100h-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 astron100h-mdw ...courses.umass.edu/astron100h-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Read: Chap 3 01/29/19 – slide 1

A100H–Exploring the Universe: The Invention of Science

Martin D. Weinberg

UMass Astronomy

[email protected]

January 29, 2019

Page 2: Martin D. Weinberg UMass Astronomy astron100h-mdw ...courses.umass.edu/astron100h-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Announcements

⊲ Announcements

Scientific thinking

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 of Copernicus

Parallax

Tycho’s Universe

Read: Chap 3 01/29/19 – slide 2

Problem Set #2 posted

Page 3: Martin D. Weinberg UMass Astronomy astron100h-mdw ...courses.umass.edu/astron100h-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Announcements

⊲ Announcements

Scientific thinking

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 of Copernicus

Parallax

Tycho’s Universe

Read: Chap 3 01/29/19 – slide 2

Problem Set #2 posted

Reminder: turn in extra-credit questions after class

Page 4: Martin D. Weinberg UMass Astronomy astron100h-mdw ...courses.umass.edu/astron100h-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Announcements

⊲ Announcements

Scientific thinking

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 of Copernicus

Parallax

Tycho’s Universe

Read: Chap 3 01/29/19 – slide 2

Problem Set #2 posted

Reminder: turn in extra-credit questions after class

Getting help (see “Contact” on web site)

⊲ TA (Luan Luan) and I are available at office hours or by appointment

⊲ Please e-mail Luan before coming over to LRGC (so he knows to expect

you)

Page 5: Martin D. Weinberg UMass Astronomy astron100h-mdw ...courses.umass.edu/astron100h-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Announcements

⊲ Announcements

Scientific thinking

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 of Copernicus

Parallax

Tycho’s Universe

Read: Chap 3 01/29/19 – slide 2

Problem Set #2 posted

Reminder: turn in extra-credit questions after class

Getting help (see “Contact” on web site)

⊲ TA (Luan Luan) and I are available at office hours or by appointment

⊲ Please e-mail Luan before coming over to LRGC (so he knows to expect

you)

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 astron100h-mdw ...courses.umass.edu/astron100h-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Announcements

⊲ Announcements

Scientific thinking

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 of Copernicus

Parallax

Tycho’s Universe

Read: Chap 3 01/29/19 – slide 2

Problem Set #2 posted

Reminder: turn in extra-credit questions after class

Getting help (see “Contact” on web site)

⊲ TA (Luan Luan) and I are available at office hours or by appointment

⊲ Please e-mail Luan before coming over to LRGC (so he knows to expect

you)

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 astron100h-mdw ...courses.umass.edu/astron100h-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Scientific thinking

Announcements

⊲ Scientific thinking

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 of Copernicus

Parallax

Tycho’s Universe

Read: Chap 3 01/29/19 – slide 3

Scientific thinking is based on everyday ideas of observation and

trial-and-error experiments.

Page 8: Martin D. Weinberg UMass Astronomy astron100h-mdw ...courses.umass.edu/astron100h-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Scientific thinking

Announcements

⊲ Scientific thinking

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 of Copernicus

Parallax

Tycho’s Universe

Read: Chap 3 01/29/19 – 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 astron100h-mdw ...courses.umass.edu/astron100h-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Scientific thinking

Announcements

⊲ Scientific thinking

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 of Copernicus

Parallax

Tycho’s Universe

Read: Chap 3 01/29/19 – slide 4

Page 10: Martin D. Weinberg UMass Astronomy astron100h-mdw ...courses.umass.edu/astron100h-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Thought question

Announcements

⊲ Scientific thinking

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 of Copernicus

Parallax

Tycho’s Universe

Read: Chap 3 01/29/19 – 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

(d) there is no good reason

Page 11: Martin D. Weinberg UMass Astronomy astron100h-mdw ...courses.umass.edu/astron100h-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Thought question

Announcements

⊲ Scientific thinking

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 of Copernicus

Parallax

Tycho’s Universe

Read: Chap 3 01/29/19 – 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

(d) there is no good reason

Page 12: Martin D. Weinberg UMass Astronomy astron100h-mdw ...courses.umass.edu/astron100h-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Thought question

Announcements

⊲ Scientific thinking

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 of Copernicus

Parallax

Tycho’s Universe

Read: Chap 3 01/29/19 – 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

(d) there is no good reason

Page 13: Martin D. Weinberg UMass Astronomy astron100h-mdw ...courses.umass.edu/astron100h-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Examples

Read: Chap 3 01/29/19 – slide 6

Egyptian obelisk:

Shadows tell the time of day

Page 14: Martin D. Weinberg UMass Astronomy astron100h-mdw ...courses.umass.edu/astron100h-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Examples

Read: Chap 3 01/29/19 – slide 7

Egyptian water clock

⊲ Volume of collected water tells time of

day

⊲ Developed for centuries

Page 15: Martin D. Weinberg UMass Astronomy astron100h-mdw ...courses.umass.edu/astron100h-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Examples

Read: Chap 3 01/29/19 – slide 7

Egyptian water clock

⊲ Volume of collected water tells time of

day

⊲ Developed for centuries

Page 16: Martin D. Weinberg UMass Astronomy astron100h-mdw ...courses.umass.edu/astron100h-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Examples

Read: Chap 3 01/29/19 – slide 8

England: Stonehenge ≈ 1550 B.C.

Page 17: Martin D. Weinberg UMass Astronomy astron100h-mdw ...courses.umass.edu/astron100h-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Examples

Read: Chap 3 01/29/19 – slide 9

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

Page 18: Martin D. Weinberg UMass Astronomy astron100h-mdw ...courses.umass.edu/astron100h-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

What have we learned?

Announcements

⊲ Scientific thinking

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 of Copernicus

Parallax

Tycho’s Universe

Read: Chap 3 01/29/19 – slide 10

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 astron100h-mdw ...courses.umass.edu/astron100h-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

What have we learned?

Announcements

⊲ Scientific thinking

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 of Copernicus

Parallax

Tycho’s Universe

Read: Chap 3 01/29/19 – slide 10

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 20: Martin D. Weinberg UMass Astronomy astron100h-mdw ...courses.umass.edu/astron100h-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

What have we learned?

Announcements

⊲ Scientific thinking

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 of Copernicus

Parallax

Tycho’s Universe

Read: Chap 3 01/29/19 – slide 10

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 21: Martin D. Weinberg UMass Astronomy astron100h-mdw ...courses.umass.edu/astron100h-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Middle East

Announcements

⊲ Scientific thinking

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 of Copernicus

Parallax

Tycho’s Universe

Read: Chap 3 01/29/19 – slide 11

Our mathematical and scientific heritage originated with the civilizations of the

Middle East

Page 22: Martin D. Weinberg UMass Astronomy astron100h-mdw ...courses.umass.edu/astron100h-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Greek roots of science

Announcements

Scientific thinking

⊲ 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 of Copernicus

Parallax

Tycho’s Universe

Read: Chap 3 01/29/19 – slide 12

Why does modern science trace its roots to the Greeks?

Greek geocentric model

(≈ 400 B.C.)

Greeks were the first people known

to make models of nature.

They tried to explain patterns in na-

ture without resorting to myth or the

supernatural.

Used mathematics to make ideas

precise and predictive

Page 23: Martin D. Weinberg UMass Astronomy astron100h-mdw ...courses.umass.edu/astron100h-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Philosophy of science

Announcements

Scientific thinking

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 of Copernicus

Parallax

Tycho’s Universe

Read: Chap 3 01/29/19 – slide 13

How science works . . .

May be many models that describe apparent reality

Science chooses the one with predictive power

Predictive power implies physical laws

Page 24: Martin D. Weinberg UMass Astronomy astron100h-mdw ...courses.umass.edu/astron100h-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Philosophy of science

Announcements

Scientific thinking

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 of Copernicus

Parallax

Tycho’s Universe

Read: Chap 3 01/29/19 – slide 13

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 25: Martin D. Weinberg UMass Astronomy astron100h-mdw ...courses.umass.edu/astron100h-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Retrograde motion: key problem

Announcements

Scientific thinking

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 of Copernicus

Parallax

Tycho’s Universe

Read: Chap 3 01/29/19 – 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 26: Martin D. Weinberg UMass Astronomy astron100h-mdw ...courses.umass.edu/astron100h-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Greek cosmology

Announcements

Scientific thinking

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 of Copernicus

Parallax

Tycho’s Universe

Read: Chap 3 01/29/19 – 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 27: Martin D. Weinberg UMass Astronomy astron100h-mdw ...courses.umass.edu/astron100h-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Celestial sphere

Announcements

Scientific thinking

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 of Copernicus

Parallax

Tycho’s Universe

Read: Chap 3 01/29/19 – 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 28: Martin D. Weinberg UMass Astronomy astron100h-mdw ...courses.umass.edu/astron100h-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Ptolemy

Announcements

Scientific thinking

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 of Copernicus

Parallax

Tycho’s Universe

Read: Chap 3 01/29/19 – slide 17

The most sophisticated geocentric model

was that of Ptolemy (A.D. 100-170) – the

Ptolemaic model:

Sufficiently accurate to remain in

use for 1,500 years (good to about

1 deg of arc)

Arabic translation of Ptolemy’s work

named Almagest (“the greatest com-

pilation”)

Page 29: Martin D. Weinberg UMass Astronomy astron100h-mdw ...courses.umass.edu/astron100h-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Retrograde motion

Announcements

Scientific thinking

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 of Copernicus

Parallax

Tycho’s Universe

Read: Chap 3 01/29/19 – 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 astron100h-mdw ...courses.umass.edu/astron100h-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Retrograde motion

Announcements

Scientific thinking

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 of Copernicus

Parallax

Tycho’s Universe

Read: Chap 3 01/29/19 – 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 astron100h-mdw ...courses.umass.edu/astron100h-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Retrograde motion

Announcements

Scientific thinking

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 of Copernicus

Parallax

Tycho’s Universe

Read: Chap 3 01/29/19 – slide 18

But this theory made it difficult to explain apparent retrograde motion of

planets. . .

Ptolemaic Geocentric Theory (elaborate mechanism)

Page 32: Martin D. Weinberg UMass Astronomy astron100h-mdw ...courses.umass.edu/astron100h-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Ptolemy

Announcements

Scientific thinking

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 of Copernicus

Parallax

Tycho’s Universe

Read: Chap 3 01/29/19 – slide 19

In the Ptolemaic model, the plan-

ets really do go backward . . .

Page 33: Martin D. Weinberg UMass Astronomy astron100h-mdw ...courses.umass.edu/astron100h-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Retrograde motion

Announcements

Scientific thinking

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 of Copernicus

Parallax

Tycho’s Universe

Read: Chap 3 01/29/19 – slide 20

Heliocentric Theory

Simple explanation

Page 34: Martin D. Weinberg UMass Astronomy astron100h-mdw ...courses.umass.edu/astron100h-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Retrograde motion

Announcements

Scientific thinking

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 of Copernicus

Parallax

Tycho’s Universe

Read: Chap 3 01/29/19 – slide 20

Heliocentric Theory

Simple explanation: nothing really moves backward

Page 35: Martin D. Weinberg UMass Astronomy astron100h-mdw ...courses.umass.edu/astron100h-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Distance to Sun

Announcements

Scientific thinking

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 of Copernicus

Parallax

Tycho’s Universe

Read: Chap 3 01/29/19 – slide 21

Sun

Last quarter moon

First quarter moon

Earth

Aristarchus of Samos — 280 BC

Heliocentric theory

Page 36: Martin D. Weinberg UMass Astronomy astron100h-mdw ...courses.umass.edu/astron100h-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Size of Earth

Read: Chap 3 01/29/19 – slide 22

Eratosthenes (≈ 240 BC)

Measurements:

⊲ Syene to Alexandria

⊲ distance ≈ 5000 stadia

⊲ angle = 7◦

Page 37: Martin D. Weinberg UMass Astronomy astron100h-mdw ...courses.umass.edu/astron100h-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Size of Earth

Read: Chap 3 01/29/19 – 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 38: Martin D. Weinberg UMass Astronomy astron100h-mdw ...courses.umass.edu/astron100h-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Models: motions of planets

Announcements

Scientific thinking

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 of Copernicus

Parallax

Tycho’s Universe

Read: Chap 3 01/29/19 – slide 23

Greek cosmology: two models

Earth rotates on its polar axis and re-

volves around the Sun

Heliocentric model

Page 39: Martin D. Weinberg UMass Astronomy astron100h-mdw ...courses.umass.edu/astron100h-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Models: motions of planets

Announcements

Scientific thinking

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 of Copernicus

Parallax

Tycho’s Universe

Read: Chap 3 01/29/19 – slide 23

Greek cosmology: two models

Heliocentric model

Geocentric model

Page 40: Martin D. Weinberg UMass Astronomy astron100h-mdw ...courses.umass.edu/astron100h-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Stellar parallax

Announcements

Scientific thinking

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 of Copernicus

Parallax

Tycho’s Universe

Read: Chap 3 01/29/19 – slide 24

Heliocentric theory predicts stellar parallax

Viewpoint A: object in front of blue

square

Viewpoint B: object in front of red

square

“Stereo” or 3D vision

Page 41: Martin D. Weinberg UMass Astronomy astron100h-mdw ...courses.umass.edu/astron100h-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Stellar parallax

Announcements

Scientific thinking

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 of Copernicus

Parallax

Tycho’s Universe

Read: Chap 3 01/29/19 – slide 24

Heliocentric theory predicts stellar parallax

Viewpoint A: object in front of blue

square

Viewpoint B: object in front of red

square

“Stereo” or 3D vision

Stellar paralax was not observed!

Page 42: Martin D. Weinberg UMass Astronomy astron100h-mdw ...courses.umass.edu/astron100h-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Time line: review

Read: Chap 3 01/29/19 – slide 25

Page 43: Martin D. Weinberg UMass Astronomy astron100h-mdw ...courses.umass.edu/astron100h-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Time line: review

Read: Chap 3 01/29/19 – slide 25

Page 44: Martin D. Weinberg UMass Astronomy astron100h-mdw ...courses.umass.edu/astron100h-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Food for thought

Announcements

Scientific thinking

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 of Copernicus

Parallax

Tycho’s Universe

Read: Chap 3 01/29/19 – slide 26

Which of the following is NOT a fundamental difference

between the geocentric and Sun-centered models of the solar

system?

(a) Earth is stationary in the geocentric model but moves around Sun in

Sun-centered model.

(b) Retrograde motion is real (planets really go backward) in geocentric model

but only apparent (planets don’t really turn around) in Sun-centered model.

(c) Stellar parallax is expected in the Sun-centered model but not in the

Earth-centered model.

(d) The geocentric model is useless for predicting planetary positions in the sky,

while even the earliest Sun-centered models worked almost perfectly.

Page 45: Martin D. Weinberg UMass Astronomy astron100h-mdw ...courses.umass.edu/astron100h-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Food for thought

Announcements

Scientific thinking

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 of Copernicus

Parallax

Tycho’s Universe

Read: Chap 3 01/29/19 – slide 26

Which of the following is NOT a fundamental difference

between the geocentric and Sun-centered models of the solar

system?

(a) Earth is stationary in the geocentric model but moves around Sun in

Sun-centered model.

(b) Retrograde motion is real (planets really go backward) in geocentric model

but only apparent (planets don’t really turn around) in Sun-centered model.

(c) Stellar parallax is expected in the Sun-centered model but not in the

Earth-centered model.

(d) The geocentric model is useless for predicting planetary positions in the sky,

while even the earliest Sun-centered models worked almost perfectly.

Page 46: Martin D. Weinberg UMass Astronomy astron100h-mdw ...courses.umass.edu/astron100h-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Flow of knowledge

Read: Chap 3 01/29/19 – 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 47: Martin D. Weinberg UMass Astronomy astron100h-mdw ...courses.umass.edu/astron100h-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

The Copernican Revolution

Announcements

Scientific thinking

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 of Copernicus

Parallax

Tycho’s Universe

Read: Chap 3 01/29/19 – slide 28

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 48: Martin D. Weinberg UMass Astronomy astron100h-mdw ...courses.umass.edu/astron100h-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

The Copernican Revolution

Announcements

Scientific thinking

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 of Copernicus

Parallax

Tycho’s Universe

Read: Chap 3 01/29/19 – slide 28

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?

Bear in mind modern questions:

What is dark matter?

What is dark energy?

How do we fit these into our models?

Page 49: Martin D. Weinberg UMass Astronomy astron100h-mdw ...courses.umass.edu/astron100h-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Beginnings of Modern Astronomy

Announcements

Scientific thinking

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 of Copernicus

Parallax

Tycho’s Universe

Read: Chap 3 01/29/19 – slide 29

How did Copernicus, Tycho, and Kepler challenge theEarth-centered idea?

Copernicus (1473-1543)

Proposed Sun-centered model (published

1543)

Used model to determine layout of solar sys-

tem (planetary distances in AU)

Page 50: Martin D. Weinberg UMass Astronomy astron100h-mdw ...courses.umass.edu/astron100h-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Beginnings of Modern Astronomy

Announcements

Scientific thinking

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 of Copernicus

Parallax

Tycho’s Universe

Read: Chap 3 01/29/19 – slide 29

How did Copernicus, Tycho, and Kepler challenge theEarth-centered idea?

Copernicus (1473-1543)

Proposed Sun-centered model (published

1543)

Used model to determine layout of solar sys-

tem (planetary distances in AU)

But. . .

Model was no more accurate than Ptolemaic

model in predicting planetary positions, be-

cause it still used perfect circles

Page 51: Martin D. Weinberg UMass Astronomy astron100h-mdw ...courses.umass.edu/astron100h-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Distance to planets

Announcements

Scientific thinking

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 of Copernicus

Parallax

Tycho’s Universe

Read: Chap 3 01/29/19 – slide 30

Sun

Venus

Earth

Copernicus—1500 AD

Revival of heliocentric theory

Page 52: Martin D. Weinberg UMass Astronomy astron100h-mdw ...courses.umass.edu/astron100h-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Successes of Copernicus

Read: Chap 3 01/29/19 – slide 31

Explained retrograde motion

Explained inferior and superior

planets

Found a relationship between the

orbital period and the distance of

a planet from the Sun

Page 53: Martin D. Weinberg UMass Astronomy astron100h-mdw ...courses.umass.edu/astron100h-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Successes of Copernicus

Announcements

Scientific thinking

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 of Copernicus

Parallax

Tycho’s Universe

Read: Chap 3 01/29/19 – slide 32

Distances to planets inferred by Copernicus

Page 54: Martin D. Weinberg UMass Astronomy astron100h-mdw ...courses.umass.edu/astron100h-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Successes of Copernicus

Announcements

Scientific thinking

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 of Copernicus

Parallax

Tycho’s Universe

Read: Chap 3 01/29/19 – slide 32

Distances to planets inferred by Copernicus

Remarkably accurate by today’s standards

Outer planets not yet discovered

Page 55: Martin D. Weinberg UMass Astronomy astron100h-mdw ...courses.umass.edu/astron100h-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Parallax

Read: Chap 3 01/29/19 – slide 33

Tycho Brahe [1546-1601] observed su-

pernova (1572)

Very bright must be nearby if Copernicus’

theory is correct

Attempted to measure distance geometri-

cally

No shift or parallax

Page 56: Martin D. Weinberg UMass Astronomy astron100h-mdw ...courses.umass.edu/astron100h-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Parallax

Read: Chap 3 01/29/19 – slide 33

Tycho Brahe [1546-1601] observed su-

pernova (1572)

Very bright must be nearby if Copernicus’

theory is correct

Attempted to measure distance geometri-

cally

No shift or parallax

Concluded that Copernicus must be wrong

Parallax not observed until the 19th century!

Page 57: Martin D. Weinberg UMass Astronomy astron100h-mdw ...courses.umass.edu/astron100h-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Tycho Brahe’s Universe

Announcements

Scientific thinking

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 of Copernicus

Parallax

⊲ Tycho’s Universe

Read: Chap 3 01/29/19 – slide 34

Most of Solar System revolves

around Sun

Sun revolves around Earth

Page 58: Martin D. Weinberg UMass Astronomy astron100h-mdw ...courses.umass.edu/astron100h-mdw/lectures/lec03.pdfGreek cosmology Celestial sphere Ptolemy Geocentric theory Distance to Sun Size

Tycho Brahe’s Tools

Read: Chap 3 01/29/19 – slide 35

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 observations to dis-

cover the truth about planetary motion