Astronomy 1
Fall 1998
October 14 Lecture
Optics, Telescopes and Astronomical Instruments
Text Chapters (Chaisson) = #5 (Read, Look at Figures and READ the CAPTIONS)
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NOTICES
- 1 Hour Test - Next Wednesday: October 21
In Class Test (Chapters 1-5, Text part of chapter 5 only) plus time and coordinates
- Halifax RASC meeting - Friday Oct 16, 8pm NS Museum - Oceans of Venus
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Astronomical Event:
Monday 12 - Last Quarter Moon
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HOMEWORK: Due Next Monday: (NOTE DIFFERENT DUE DATE)
Chapter 3
Problems #4, 6, 10
Chapter 4
Problems #2, 5, 8, 10
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LECTURE
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SEE Optics Page
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Resolving Power of all types of radiation telescopes (not just optical)
a (radians) = 1.2 l/D 1 radian = 206,300"arc
a ("arc) = 0.25 l(mm)/D(m)
Microwaves l = 1mm = 1000 mm
How big a radio telescope does it have to be to resolve 1"arc?
D(m) = 0.25 l(mm)/a ("arc) = 0.25 (1000 )/1 = 250 m
Types of Telescope Designs
-Refractor
-Newtonian Reflector
-Cassegrain
-Schmidt
-Schmidt-Cassegrain
-Maksutov
Mounts
-Equatorial
-Alt-Azimuth (New computer controlled large telescopes)
Smithsonian Astrophysical Observatory on Mt Hopkins
Mulitple-Mirror Telescope
also -- Keck telescopes on Mauna Kea (Hawaii)
READ THE TEXT WHICH HAS GOOD DISCUSSION OF TELESCOPES
active optics, multiple mirror telescope, adaptive optics, interferometers
Detectors:
(Visible, Near UV, Near IR)(300nm - 1000nm)
1. The Eye (see also Oct 7 Lecture)
Convenient - insensitive - Not Quantitative
Resolution 1' arc at fovea centralis (cones)
Colored vision less sensitive and in the cones by a factor of 100
Resolution away in the rods = 5-10' arc
Only B&W at low light levels (peak at 500 nm) Rhodopsin in rods
(Dark adaptaton 20-30 minutes)
1-10 photons required to trigger detection
Use averted vision because cones not at center of eye (rods are)
2. Magnitude Scales (SEE optics / magnitudes
logrithmic response to light energy
m2 - m1 ~ log10(B1/B2)
m2 - m1 = 5 ---> B1/B2 = 100
so m2 - m1 = 2.5 log10(B1/B2)
m2 - m1= 1 corresponds to B1/B2 = 2.51
table:
m2 - m1 B1/B2
0.1 1.096
0.2 1.202
0.3 1.318
0.5 1.585
0.7 1.905
0.8 2.089
1.0 2.511
2.0 2.511 x 2.511 = 6.31
3.0 (2.511)3 = 15.9
4.0 (2.511)4 = 39.8
5.0 100
example 1:
Rigel (b Orionis)= 0.12 m
d Orionis = 2.23
find the ratio in brightness
magnitude difference = 2.23 - 0.12 = 2.11 ~ 2.1
2 magnitudes = ratio of 6.31
0.1 magnitudes = ratio of 1.096
So ratio = 6.31 x 1.096 = 6.9
example 2:
Ratio of brightness measured by photometer = 1256
what is the difference in the magnitudes?
1256 = 100 x 12.56 = 100 x 6.31 x 1.99
100 --> 5 mag
6.31 --> 2 mag
1.99 --> 0.75 mag
Dm = 7.75
example 3:
An open cluster is made of 30 13th magnitude stars
What is the total magnitude of the cluster.
Cluster is 30 times brighter that one star.
30 = 15.9 x 1.89
15.9 = 3 mag
1.89 = 0.7 mag
So the cluster has the magnitude of 13 - 3 - 0.7 = 9.3 m
NOTE: Brighter stars have a smaller magnitude!
2. Photography
large sky coverage - moderate sensitivity but non-linear response
difficult to analyze quantitatively
Difference emulsion sensitivities (blue, red)
3. Photometers (photomultipliers, photoelectrics)
Quantitative, sensitive, linear response
Photon counting
No Image
4. CCD (Charged Coupled Devices)
Quantitative, small area coverage, sensitive, linear response
Image, Computer data storage and analysis
5. Spectrometers
Gratings and Prisms
Other Telescopes:
Radio and Microwave
No imaging - single detector
Must scan to produce an "image" = contour map of intensity
Single - Steerable (Penticton - Green Bank) (Large area for sensitivity)
Fixed (Arecibo) (Much Larger area but limited pointing)
Interferometers (Increase resolution)
Very Large Base Line or Very Large Array Interferometers
Example: wavelength = 1 m
baseline = 1000 km = 106 m
a" = 206,300 (1/106) = 0.2 " arc
at wavelength = 1cm , a" = 0.002"arc using the VLBI
X-ray and Gamma Ray
Difficult to make a refractive or reflective surface.
X-ray
Use grazing angles to get reflectance and focusing
Gamma rays
Tracks in Photographic Plates
Counters
Satellite Observatories (above the atmosphere to detect UV, X-ray, Gamma Rays
Hubble Space Telescope (See Interlude 5-1) 2.4m optical
In orbit 1990, repair 1993,
http://www.stsci.edu
IRAS (Infrared Astronomical Satellite) 1983 (no longer working but produced important survey)
IUE (International Ultraviolet Explorer) 1978-
HEAO (High Energy Astronomical Observatories) - Einstein Observatory (1979)
ROSAT (Roentgen Satellite) 1990
GRO (Gamma Ray Observatory) Compton Observatory 1991
Spectrum Photos in the Text
RIVUXG
(Radio - Infrared - Visible - Ultraviolet - Xray - Gamma)
See Table 5-1 READ