Title: Astronomy
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2The Altitude Azimuth coordinate system Observer
in Aurora latitude 42º 30 45N
longitude 76º 41 30 W
Altitude angle up from horizon between 0º and
90º
Zenith
Azimuth angle E of N from North direction on
horizon between 0º and 360º
Horizon
3The Celestial Sphere as seen by an Inuit (living
near the NP)
4Its Time for Facts about Time
- Earth rotates steadily, once in 24 h (15º in 1 h)
- direction is West to East looking down onto
NP, its counterclockwise (ccw) - no matter where you are, local noon is the
moment - exactly halfway between sunrise and sunset
- when the sun is at its highest point in the sky
- the sun is due south and therefore is crossing
the meridian - Time zones are a compromise such that the zone
center, a clock reads 1200 at local noon - West of center, local noon occurs up to 30 min
after 1200 East of center
5Lets go to the board and talk about degrees and
radians and all that s, q and r language
6A relationship between sizes
- D object size ( arc length s) in some units
- d distance from eye to object ( radius r) in
same units - so subtended angle q angle in radians D/d
To convert q to seconds of angle
- Since p rad 180º and 1º 60 and 1 60
- We have q (D/d)(180º/p)(60/º)(60/)
- So, doing the multiplication we get
- q 206,265(D/d)
- where q is in seconds of arc, and D d must be
in the same length units
7Insert numbers for a penny d 4 km 4 x 103
m D 2 cm 2 x 10-2 m So q 206,265(D/d)
1.03 x 100 '' 1 ''
8Fig.01.11
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10Careful the stars DO NOT MOVE on the celestial
sphere, but the CS rotates once per day We can
see only exactly half of the CS at any moment
11Daily (diurnal) solar motion
- in one day, the sun barely moves on the celestial
sphere it just rides along with it. - path is never a great circle across the sky
except - at vernal equinox and autumnal equinox
- rises due E, sets due W, is at 90º - latitude at
noon - day is exactly 12 h long everywhere on Earth
- in summer, in northern hemisphere
- Rises north of east (azimuth 90º - latitude)
and sets north of west (azimuth 270º
latitude) - Day is longer than 12 h
- Sufficiently far north, sufficiently near summer
solstice, SUN NEVER SETS!!
12Looking ahead the Declination-Right Ascension
coordinate system for an observer in North
Canada latitude 75º