GALILEO

1
GALILEO
2
CONVEX LENS
f
3
CONCAVE LENS
f
4
ANGULAR SIZE
h
D
a angular size of object tan-1(h/D)
Telescope multiplies a by M magnification
5
GALILEAN TELESCOPE
f1
f2
Let r radius of lens. Then angular size of
object tan-1(r/f1)
Emerging from eyepiece, angular size tan-1(r/f2)
Magnification M tan-1(r/f2)/tan-1(r/f1)
f1/f2
6
MOUNTAINS ON THE MOON
Suns glancing rays
R
Rh (R2 (0.1R)2)1/2 (1.01)1/2R
R 0.005R
Since R 1000 mi, h 5 mi
7
MOONS OF JUPITER
East West
8
PHASES OF VENUSPTOLEMAIC VIEW
4
Sun
Earth
Epicycle of Venus
1
3
2
9
PHASES OF VENUSCOPERNICAN VIEW
4
1
3
S
E
orbit of Venus
2
10
SPEED OF LIGHT
S
E2
E1