Martin D. Weinberg UMass Astronomy weinberg@astro.umassweinberg/a100/lectures/... · 2012. 9....

Read: Chap 3 09/11/12 – slide 1

A100–Exploring the Universe: The Rise of Science

Martin D. Weinberg

UMass Astronomy

weinberg@astro.umass.edu

September 11, 2012

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

Stellar parallax

Time line

Greek models

Food for thought

Flow of knowledge

Modern Astronomy

Distance to planets

Successes ofCopernicus

Parallax

Tycho’s Universe

Tycho Brahe’s Tools

Interlude

Problem Set #1 due this afternoon at 5pm!

Announcements

⊲ Announcements

Scientific thinking

Middle East

Greek roots

Retrograde motion

Greek cosmology

Celestial sphere

Ptolemy

Geocentric theory

Distance to Sun

Size of Earth

Stellar parallax

Time line

Greek models

Food for thought

Flow of knowledge

Modern Astronomy

Distance to planets

Parallax

Tycho’s Universe

Interlude

TAs are available by appointment, office hours TBA

Announcements

⊲ Announcements

Scientific thinking

Middle East

Greek roots

Retrograde motion

Greek cosmology

Celestial sphere

Ptolemy

Geocentric theory

Distance to Sun

Size of Earth

Stellar parallax

Time line

Greek models

Food for thought

Flow of knowledge

Modern Astronomy

Distance to planets

Parallax

Tycho’s Universe

Interlude

Announcements

⊲ Announcements

Scientific thinking

Middle East

Greek roots

Retrograde motion

Greek cosmology

Celestial sphere

Ptolemy

Geocentric theory

Distance to Sun

Size of Earth

Stellar parallax

Time line

Greek models

Food for thought

Flow of knowledge

Modern Astronomy

Distance to planets

Parallax

Tycho’s Universe

Interlude

Orchard Hill Observing: 8:00PM on Thursday Sept 13th

http://www.astro.umass.edu/~orchardhill

Today’s topic: Motion of Celestial bodies

⊲ Led to modern science

⊲ Philosophy: scientific method

⊲ Discovery of Laws of Motion and Gravity

Announcements

⊲ Announcements

Scientific thinking

Middle East

Greek roots

Retrograde motion

Greek cosmology

Celestial sphere

Ptolemy

Geocentric theory

Distance to Sun

Size of Earth

Stellar parallax

Time line

Greek models

Food for thought

Flow of knowledge

Modern Astronomy

Distance to planets

Parallax

Tycho’s Universe

Interlude

Orchard Hill Observing: 8:00PM on Thursday Sept 13th

http://www.astro.umass.edu/~orchardhill

Today’s topic: Motion of Celestial bodies

⊲ Led to modern science

⊲ Philosophy: scientific method

⊲ Discovery of Laws of Motion and Gravity

Questions?

Scientific thinking

Announcements

⊲ Scientific thinking

Middle East

Greek roots

Retrograde motion

Greek cosmology

Celestial sphere

Ptolemy

Geocentric theory

Distance to Sun

Size of Earth

Stellar parallax

Time line

Greek models

Food for thought

Flow of knowledge

Modern Astronomy

Distance to planets

Parallax

Tycho’s Universe

Interlude

Scientific thinking is based on everyday ideas of

observation and trial-and-error experiments.

Scientific thinking

Announcements

Middle East

Greek roots

Retrograde motion

Greek cosmology

Celestial sphere

Ptolemy

Geocentric theory

Distance to Sun

Size of Earth

Stellar parallax

Time line

Greek models

Food for thought

Flow of knowledge

Modern Astronomy

Distance to planets

Parallax

Tycho’s Universe

Interlude

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

Scientific thinking

Announcements

Middle East

Greek roots

Retrograde motion

Greek cosmology

Celestial sphere

Ptolemy

Geocentric theory

Distance to Sun

Size of Earth

Stellar parallax

Time line

Greek models

Food for thought

Flow of knowledge

Modern Astronomy

Distance to planets

Parallax

Tycho’s Universe

Interlude

Examples

Egyptian obelisk:

Shadows tell the time of day

Examples

England: Stonehenge ≈ 1550 B.C.

Examples

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

What have we learned?

Announcements

Middle East

Greek roots

Retrograde motion

Greek cosmology

Celestial sphere

Ptolemy

Geocentric theory

Distance to Sun

Size of Earth

Stellar parallax

Time line

Greek models

Food for thought

Flow of knowledge

Modern Astronomy

Distance to planets

Parallax

Tycho’s Universe

Interlude

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.

Announcements

Middle East

Greek roots

Retrograde motion

Greek cosmology

Celestial sphere

Ptolemy

Geocentric theory

Distance to Sun

Size of Earth

Stellar parallax

Time line

Greek models

Food for thought

Flow of knowledge

Modern Astronomy

Distance to planets

Parallax

Tycho’s Universe

Interlude

societies?

observations.

Announcements

Middle East

Greek roots

Retrograde motion

Greek cosmology

Celestial sphere

Ptolemy

Geocentric theory

Distance to Sun

Size of Earth

Stellar parallax

Time line

Greek models

Food for thought

Flow of knowledge

Modern Astronomy

Distance to planets

Parallax

Tycho’s Universe

Interlude

societies?

observations.

Middle East

Announcements

Scientific thinking

⊲ Middle East

Greek roots

Retrograde motion

Greek cosmology

Celestial sphere

Ptolemy

Geocentric theory

Distance to Sun

Size of Earth

Stellar parallax

Time line

Greek models

Food for thought

Flow of knowledge

Modern Astronomy

Distance to planets

Parallax

Tycho’s Universe

Interlude

Our mathematical and scientific heritage originated with the

civilizations of the Middle East

The Copernican Revolution

Announcements

Scientific thinking

⊲ Middle East

Greek roots

Retrograde motion

Greek cosmology

Celestial sphere

Ptolemy

Geocentric theory

Distance to Sun

Size of Earth

Stellar parallax

Time line

Greek models

Food for thought

Flow of knowledge

Modern Astronomy

Distance to planets

Parallax

Tycho’s Universe

Interlude

Key questions:

How did Copernicus, Tycho, and Kepler challenge the

Earth-centered model?

What are Keplers three laws of planetary motion?

How did Galileo solidify the Copernican revolution?

Greek roots of science

Announcements

Scientific thinking

Middle East

⊲ Greek roots

Retrograde motion

Greek cosmology

Celestial sphere

Ptolemy

Geocentric theory

Distance to Sun

Size of Earth

Stellar parallax

Time line

Greek models

Food for thought

Flow of knowledge

Modern Astronomy

Distance to planets

Parallax

Tycho’s Universe

Interlude

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

Announcements

Scientific thinking

Middle East

Greek roots

⊲Philosophy ofscience

Retrograde motion

Greek cosmology

Celestial sphere

Ptolemy

Geocentric theory

Distance to Sun

Size of Earth

Stellar parallax

Time line

Greek models

Food for thought

Flow of knowledge

Modern Astronomy

Distance to planets

Parallax

Tycho’s Universe

Interlude

How science works . . .

May be many models that describe apparent reality

Science chooses the one with predictive power

Predictive power implies physical laws

Announcements

Scientific thinking

Middle East

Greek roots

⊲Philosophy ofscience

Retrograde motion

Greek cosmology

Celestial sphere

Ptolemy

Geocentric theory

Distance to Sun

Size of Earth

Stellar parallax

Time line

Greek models

Food for thought

Flow of knowledge

Modern Astronomy

Distance to planets

Parallax

Tycho’s Universe

Interlude

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

Retrograde motion: key problem

Announcements

Scientific thinking

Middle East

Greek roots

⊲Retrogrademotion

Greek cosmology

Celestial sphere

Ptolemy

Geocentric theory

Distance to Sun

Size of Earth

Stellar parallax

Time line

Greek models

Food for thought

Flow of knowledge

Modern Astronomy

Distance to planets

Parallax

Tycho’s Universe

Interlude

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

Greek cosmology

Announcements

Scientific thinking

Middle East

Greek roots

Retrograde motion

⊲ Greek cosmology

Celestial sphere

Ptolemy

Geocentric theory

Distance to Sun

Size of Earth

Stellar parallax

Time line

Greek models

Food for thought

Flow of knowledge

Modern Astronomy

Distance to planets

Parallax

Tycho’s Universe

Interlude

How did the Greeks explain planetary motion?

Basic features of Greek geocentric model:

Earth at the center of the Universe

Heavens must be perfect

Objects moving on perfect spheres or

in perfect circles

Aristotle

Celestial sphere

Announcements

Scientific thinking

Middle East

Greek roots

Retrograde motion

Greek cosmology

⊲ Celestial sphere

Ptolemy

Geocentric theory

Distance to Sun

Size of Earth

Stellar parallax

Time line

Greek models

Food for thought

Flow of knowledge

Modern Astronomy

Distance to planets

Parallax

Tycho’s Universe

Interlude

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

Ptolemy

Announcements

Scientific thinking

Middle East

Greek roots

Retrograde motion

Greek cosmology

Celestial sphere

⊲ Ptolemy

Geocentric theory

Distance to Sun

Size of Earth

Stellar parallax

Time line

Greek models

Food for thought

Flow of knowledge

Modern Astronomy

Distance to planets

Parallax

Tycho’s Universe

Interlude

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

Ptolemys work named

Almagest (“the greatest

compilation”)

Retrograde motion

Announcements

Scientific thinking

Middle East

Greek roots

Retrograde motion

Greek cosmology

Celestial sphere

Ptolemy

⊲ Geocentric theory

Distance to Sun

Size of Earth

Stellar parallax

Time line

Greek models

Food for thought

Flow of knowledge

Modern Astronomy

Distance to planets

Parallax

Tycho’s Universe

Interlude

But this theory made it difficult to explain apparent retrograde

motion of planets. . .

Ptolemaic Geocentric Theory (elaborate mechanism)

Retrograde motion

Announcements

Scientific thinking

Middle East

Greek roots

Retrograde motion

Greek cosmology

Celestial sphere

Ptolemy

Distance to Sun

Size of Earth

Stellar parallax

Time line

Greek models

Food for thought

Flow of knowledge

Modern Astronomy

Distance to planets

Parallax

Tycho’s Universe

Interlude

Retrograde motion

Announcements

Scientific thinking

Middle East

Greek roots

Retrograde motion

Greek cosmology

Celestial sphere

Ptolemy

Distance to Sun

Size of Earth

Stellar parallax

Time line

Greek models

Food for thought

Flow of knowledge

Modern Astronomy

Distance to planets

Parallax

Tycho’s Universe

Interlude

Ptolemy

Announcements

Scientific thinking

Middle East

Greek roots

Retrograde motion

Greek cosmology

Celestial sphere

Ptolemy

Distance to Sun

Size of Earth

Stellar parallax

Time line

Greek models

Food for thought

Flow of knowledge

Modern Astronomy

Distance to planets

Parallax

Tycho’s Universe

Interlude

In the Ptolemaic model,

the planets really do go

backward . . .

Retrograde motion

Announcements

Scientific thinking

Middle East

Greek roots

Retrograde motion

Greek cosmology

Celestial sphere

Ptolemy

Distance to Sun

Size of Earth

Stellar parallax

Time line

Greek models

Food for thought

Flow of knowledge

Modern Astronomy

Distance to planets

Parallax

Tycho’s Universe

Interlude

Heliocentric Theory

Simple explanation

Distance to Sun

Announcements

Scientific thinking

Middle East

Greek roots

Retrograde motion

Greek cosmology

Celestial sphere

Ptolemy

Geocentric theory

⊲ Distance to Sun

Size of Earth

Stellar parallax

Time line

Greek models

Food for thought

Flow of knowledge

Modern Astronomy

Distance to planets

Parallax

Tycho’s Universe

Interlude

Last quarter moon

First quarter moon

Aristarchus of Samos — 280 BC

Heliocentric theory

Size of Earth

Eratosthenes (≈ 240 BC)

Measurements:

⊲ Syene to Alexandria

⊲ distance ≈ 5000 stadia

⊲ angle = 7◦

Size of Earth

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

Stellar parallax

Announcements

Scientific thinking

Middle East

Greek roots

Retrograde motion

Greek cosmology

Celestial sphere

Ptolemy

Geocentric theory

Distance to Sun

Size of Earth

⊲ Stellar parallax

Time line

Greek models

Food for thought

Flow of knowledge

Modern Astronomy

Distance to planets

Parallax

Tycho’s Universe

Interlude

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-

Stellar parallax

Announcements

Scientific thinking

Middle East

Greek roots

Retrograde motion

Greek cosmology

Celestial sphere

Ptolemy

Geocentric theory

Distance to Sun

Size of Earth

⊲ Stellar parallax

Time line

Greek models

Food for thought

Flow of knowledge

Modern Astronomy

Distance to planets

Parallax

Tycho’s Universe

Interlude

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-

Stellar paralax was not observed!

Time line: review

Models: motions of planets

Announcements

Scientific thinking

Middle East

Greek roots

Retrograde motion

Greek cosmology

Celestial sphere

Ptolemy

Geocentric theory

Distance to Sun

Size of Earth

Stellar parallax

Time line

⊲ Greek models

Food for thought

Flow of knowledge

Modern Astronomy

Distance to planets

Parallax

Tycho’s Universe

Interlude

Greek cosmology

Heliocentric model

Models: motions of planets

Announcements

Scientific thinking

Middle East

Greek roots

Retrograde motion

Greek cosmology

Celestial sphere

Ptolemy

Geocentric theory

Distance to Sun

Size of Earth

Stellar parallax

Time line

⊲ Greek models

Food for thought

Flow of knowledge

Modern Astronomy

Distance to planets

Parallax

Tycho’s Universe

Interlude

Greek cosmology

Heliocentric model

Geocentric model

Food for thought

Announcements

Scientific thinking

Middle East

Greek roots

Retrograde motion

Greek cosmology

Celestial sphere

Ptolemy

Geocentric theory

Distance to Sun

Size of Earth

Stellar parallax

Time line

Greek models

⊲ Food for thought

Flow of knowledge

Modern Astronomy

Distance to planets

Parallax

Tycho’s Universe

Interlude

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.

Food for thought

Announcements

Scientific thinking

Middle East

Greek roots

Retrograde motion

Greek cosmology

Celestial sphere

Ptolemy

Geocentric theory

Distance to Sun

Size of Earth

Stellar parallax

Time line

Greek models

⊲ Food for thought

Flow of knowledge

Modern Astronomy

Distance to planets

Parallax

Tycho’s Universe

Interlude

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.

Flow of knowledge

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.

Beginnings of Modern Astronomy

Announcements

Scientific thinking

Middle East

Greek roots

Retrograde motion

Greek cosmology

Celestial sphere

Ptolemy

Geocentric theory

Distance to Sun

Size of Earth

Stellar parallax

Time line

Greek models

Food for thought

Flow of knowledge

⊲ModernAstronomy

Distance to planets

Parallax

Tycho’s Universe

Interlude

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)

Beginnings of Modern Astronomy

Announcements

Scientific thinking

Middle East

Greek roots

Retrograde motion

Greek cosmology

Celestial sphere

Ptolemy

Geocentric theory

Distance to Sun

Size of Earth

Stellar parallax

Time line

Greek models

Food for thought

Flow of knowledge

⊲ModernAstronomy

Distance to planets

Parallax

Tycho’s Universe

Interlude

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

Distance to planets

Announcements

Scientific thinking

Middle East

Greek roots

Retrograde motion

Greek cosmology

Celestial sphere

Ptolemy

Geocentric theory

Distance to Sun

Size of Earth

Stellar parallax

Time line

Greek models

Food for thought

Flow of knowledge

Modern Astronomy

⊲Distance toplanets

Parallax

Tycho’s Universe

Interlude

Copernicus—1500 AD

Revival of heliocentric theory

Successes of Copernicus

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

Announcements

Scientific thinking

Middle East

Greek roots

Retrograde motion

Greek cosmology

Celestial sphere

Ptolemy

Geocentric theory

Distance to Sun

Size of Earth

Stellar parallax

Time line

Greek models

Food for thought

Flow of knowledge

Modern Astronomy

Distance to planets

⊲Successes ofCopernicus

Parallax

Tycho’s Universe

Interlude

Distances to planets inferred by Copernicus

Announcements

Scientific thinking

Middle East

Greek roots

Retrograde motion

Greek cosmology

Celestial sphere

Ptolemy

Geocentric theory

Distance to Sun

Size of Earth

Stellar parallax

Time line

Greek models

Food for thought

Flow of knowledge

Modern Astronomy

Distance to planets

⊲Successes ofCopernicus

Parallax

Tycho’s Universe

Interlude

Distances to planets inferred by Copernicus

Remarkably accurate by today’s standards

Outer planets not yet discovered

Parallax

Announcements

Scientific thinking

Middle East

Greek roots

Retrograde motion

Greek cosmology

Celestial sphere

Ptolemy

Geocentric theory

Distance to Sun

Size of Earth

Stellar parallax

Time line

Greek models

Food for thought

Flow of knowledge

Modern Astronomy

Distance to planets

⊲ Parallax

Tycho’s Universe

Interlude

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

Parallax

Announcements

Scientific thinking

Middle East

Greek roots

Retrograde motion

Greek cosmology

Celestial sphere

Ptolemy

Geocentric theory

Distance to Sun

Size of Earth

Stellar parallax

Time line

Greek models

Food for thought

Flow of knowledge

Modern Astronomy

Distance to planets

⊲ Parallax

Tycho’s Universe

Interlude

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!

Tycho Brahe’s Universe

Announcements

Scientific thinking

Middle East

Greek roots

Retrograde motion

Greek cosmology

Celestial sphere

Ptolemy

Geocentric theory

Distance to Sun

Size of Earth

Stellar parallax

Time line

Greek models

Food for thought

Flow of knowledge

Modern Astronomy

Distance to planets

Parallax

⊲ Tycho’s Universe

Interlude

Most of Solar System re-

volves around Sun

Sun revolves around

Telescope not yet invented

Compiled the most accurate (one ar-

cminute) 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 Tychos observa-

tions to discover the truth about plane-

tary motion

Interlude

Announcements

Scientific thinking

Middle East

Greek roots

Retrograde motion

Greek cosmology

Celestial sphere

Ptolemy

Geocentric theory

Distance to Sun

Size of Earth

Stellar parallax

Time line

Greek models

Food for thought

Flow of knowledge

Modern Astronomy

Distance to planets

Parallax

Tycho’s Universe

⊲ Interlude

Earth-crossing objects, how dangerous?

How many objects are there?

⊲ About 2000 with diameters of 1 km or larger

⊲ Such objects could cause Tsunamis 300 feet high!

Interlude

Announcements

Scientific thinking

Middle East

Greek roots

Retrograde motion

Greek cosmology

Celestial sphere

Ptolemy

Geocentric theory

Distance to Sun

Size of Earth

Stellar parallax

Time line

Greek models

Food for thought

Flow of knowledge

Modern Astronomy

Distance to planets

Parallax

Tycho’s Universe

⊲ Interlude

How often do they strike Earth?

⊲ Objects of this size are expected to hit the Earth

about once every 300,000 years on average.

Interlude

Announcements

Scientific thinking

Middle East

Greek roots

Retrograde motion

Greek cosmology

Celestial sphere

Ptolemy

Geocentric theory

Distance to Sun

Size of Earth

Stellar parallax

Time line

Greek models

Food for thought

Flow of knowledge

Modern Astronomy

Distance to planets

Parallax

Tycho’s Universe

⊲ Interlude

How often do they strike Earth?

⊲ Objects of this size are expected to hit the Earth

about once every 300,000 years on average.

See http://www.pibburns.com/catastro/impacts.htm to

feel scared.

Martin D. Weinberg UMass Astronomy weinberg@astro.umassweinberg/a100/lectures/... · 2012. 9....

Documents

Transcript of Martin D. Weinberg UMass Astronomy weinberg@astro.umassweinberg/a100/lectures/... · 2012. 9....

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Geocentric Theory

A Mathematical Supplement To “The Sun in the Church ... · PDF fileCathedrals as Solar Observatories” by J.L. Heilbron ... Ptolemy propounded the geocentric theory in a form that

Claudius Ptolemy - yorku.ca Math 1700 - Ptolemy 1 Claudius Ptolemy Saving the Heavens Math 1700 - Ptolemy 2 Euclid’s Elements at work • Euclid’s Elements quickly became the standard

Ptolemy Centiloquio

Geocentric Model of the Universe – Ptolemy (et al.)

Sun, Earth, and Moon. People (Ptolemy in 140 A.D) once thought that Earth was at the center of the Universe and the Sun revolved around it. Geocentric.

Astronomical History n Ptolemy expresses geocentric model 127AD n Copernicus offers heliocentric model 1530 AD n Tycho Brahe 1546-1601 takes precision.

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

Geocentric Datum

Ptolemy and the Geocentric Model