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Transcript
Scientific Models
Geometric Ideas
Physical Concepts
Aesthetic Notions
Basic Assumptions
add Analogy
Metaphor
A MODEL !!
Intro to Solar System
Scientific Models
1
Scientific Models
• explain what is observed
(i.e. measured)
• predict future observations
(accurately)
Intro to Solar System
Scientific Models
2
Scientific Models
• explain what is observed
(i.e. measured)
• predict future observations
(accurately)
Scientific models evolve, they change
with new information, they are
tentative.
Intro to Solar System
Scientific Models
3
Scientific Models
• state bases
– aesthetic
– geometric
– physical
•
•
•
•
state the assumptions
Zeilik - 6/e
state key observations
deduce important relationship of the parts
suggest predictions
Intro to Solar System
Scientific Models
4
If a model proves to work well
(i.e. is robust), it is elevated to theory
Theory is NOT a guess !!
Hypothesis is an educated guess.
Theory is a synthesis of a large body
of information, containing hypotheses
that have been verified many, many
times over.
Intro to Solar System
Scientific Models
5
Pythagoras - 6th century B.C.
• Earth has a spherical shape
• stars are in a spherical shell which rotates
from east to west
• planets are on smaller spheres, rotating at
different speeds, east to west
• Earth is motionless in the center
geo-centric model: Earth-centered
Intro to Solar System
Scientific Models
6
Plato - 400 B.C.
• must be uniform motion - ideal
• model must explain the observations
Aristotle - 350 B.C.
• tried to add in retrograde motion of planets
• included some notion of physics
Intro to Solar System
Scientific Models
7
Aristotle’s Physics
Elements
earth
air
fire
water
Zeilik - 6/e
Each had a natural motion towards its
natural place.
Intro to Solar System
Scientific Models
8
The natural motion of earthly material
- towards the center at rest
Heavens - immutable, crystalline, and
did not obey the same laws
The natural motion of the Heavens
- rotation
Intro to Solar System
Scientific Models
9
Aristotle’s explanations were
natural.
Earth is stationary.
If it were not so, things thrown into
the air would land behind you.
Things do not do so.
Therefore the Earth is stationary.
Intro to Solar System
Scientific Models
10
Two very important observations
• spherical shape of the Earth
• absence of stellar parallax
Intro to Solar System
Scientific Models
11
Two very important observations
• spherical shape of the Earth
• absence of stellar parallax
parallax: apparent shift in position
of a body due to the motion
of the observer
stellar:
Intro to Solar System
pertaining to stars
Scientific Models
12
If the Earth moved through space,
stellar parallax would be observed.
No stellar parallax was observed.
Therefore, the Earth did not move
through space.
Intro to Solar System
Scientific Models
13
Aristarchus - 3rd Century B.C.
• heliocentric model (sun-centered)
• Earth rotated on its axis once a day
• Earth revolved around the Sun
– 1 complete revolution = 1 year
Intro to Solar System
Scientific Models
14
Aristarchus - 3rd Century B.C.
• heliocentric model (sun-centered)
• Earth rotated on its axis once a day
• Earth revolved around the Sun
– 1 complete revolution = 1 year
Disbelief in this model was based on
• Earth moving at all was unnatural
• required stellar parallax, which was
not observed
Intro to Solar System
Scientific Models
15
Hipparchus - 150 B.C.
added geometric devices
assumption: uniform speed, circular paths
• Observation: average speed of a planet is
faster through one region of the zodiac than
another
Intro to Solar System
Scientific Models
16
Hipparchus - 150 B.C.
added geometric devices
assumption: uniform speed, circular paths
• Observation: average speed of a planet is
faster through one region of the zodiac than
another
Explanation: eccentric - earth is just a
bit off-center of the planet’s circular
orbit
Intro to Solar System
Scientific Models
17
• Observation:
– planet moves west to east for several
weeks
– then it slows, reverses its motion to east to
west
– retrograde motion
Intro to Solar System
Scientific Models
18
• Observation:
– planet moves west to east for several weeks
– then it slows, reverses its motion to east to west
– retrograde motion
Explanation: planet moves on a small circle,
called an epicycle
center of the epicycle orbits the Earth
on a path called the deferent
Intro to Solar System
Scientific Models
19
Ptolemy - 125 A.D.
model that could predict planetary
motions with 5o error
• observation: variable speeds
Explanation: equant, place at which
the motions would appear uniform
aligned the radii of the epicycles
Intro to Solar System
Scientific Models
20
Physics: heavenly spheres rotated due to
natural motion
- this drives the other motions
- no forces involved
Success: within 5o accuracy
in use for 1400 years
agreed with the Greek notions
of aesthetics
Intro to Solar System
Scientific Models
21