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The slides from lecture 11 of the astr1030 course at the university of colorado boulder, focusing on changing orbits and the wave-particle duality of light. It includes formulas for calculating escape velocity, information about the solar system and light spectrum, and the interaction of light with matter.
Typology: Study notes
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ASTR1030 - FALL, 2008. LECTURE 11; PAGE 1
http://lasp.colorado.edu/~ergun/
Next Observing: Thursday, Oct. 2, 7:30 pm. SBO.
Pick Up Midterms
ASTR1030 - FALL, 2008. LECTURE 11; PAGE 2
10
20
30
40
50
60
70
80
90
12 10
(^8642)
ASTR1030 - FALL, 2008. LECTURE 11; PAGE 4
Example: How fast must a spacecraft go to escape Earth?
v
r
m --- s
ASTR1030 - FALL, 2008. LECTURE 11; PAGE 5
ASTR1030 - FALL, 2008. LECTURE 11; PAGE 7
Photons are the smallest quanta of light. The energy of the photon is propor-tional to frequency (or inversely proportional to wavelength). A large group ofphotons together (collectively) act as a wave.
Energy
Frequency
∝
ASTR1030 - FALL, 2008. LECTURE 11; PAGE 8
Radio Waves
are the same as light - the lowest frequency (longest wave-
length) part of the spectrum. We (humans) cannot sense radio waves. Infrared Radiation
has frequencies less than that of visible light (longer
wavelengths). We cannot see infrared radiation, but we can feel intense infra-red radiation as heat. Visible Light
is a small portion of the spectrum from 400 nm (red) to 700 nm
(violet). Remember, 1 nm = 1x
m. We (humans) see light.
ASTR1030 - FALL, 2008. LECTURE 11; PAGE 10
ASTR1030 - FALL, 2008. LECTURE 11; PAGE 11
The emitted light generally covers a large range in the spectrum.The peak in the spectrum is proportional to the temperature.
λ
peak
Knm o (
ASTR1030 - FALL, 2008. LECTURE 11; PAGE 13
The total amount of energy is proportional to the temperature to the forthpower times the size of the object..
RadiatedEnergy
σ
σ
Watt m
o
ASTR1030 - FALL, 2008. LECTURE 11; PAGE 14
What is the spectral peak of light emitted from our body?What is the spectral peak of light emitted from the sun? Important Point: We can tell how hot stars are from their color.
λ
peak
Knm o (
λ
peak
o
Knm o (
λ
peak
nm
(Infared)
λ
peak
o
Knm o (
λ
peak
500
nm
(Yellow)
=
ASTR1030 - FALL, 2008. LECTURE 11; PAGE 16
Important Point: We can tell what a gas is made of by analyzing the
absorption spectrum.
Magnified View
tar
Cloud