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the arc may be approximated as the straight linesegment of length 1 AU. First, we
convert
θ
= 1 arcsecond to radians:
()
1 arcminute
1
2 radian
1 arcsecond
60 arcsecond
60 arcminute
360
§·
°π
¨¸
°
©¹
which yields
= 4.85
×
10
−
6
rad. Therefore, one parsec is
R
s
o
AU
4.85
10
AU.
==
×
=×
−
1
206 10
6
5
.
Now we use this to convert
R
= 1 AU to parsecs:
R
=
×
F
H
G
I
K
J
−
1
1
49
10
6
AU
pc
2.06
10 AU
pc.
5
bg
.
(b) Also, since it is straightforward to figure the number of seconds in a year (about 3.16
×
10
7
s), and (for constant speeds) distance = speed
×
time, we have
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This note was uploaded on 09/03/2009 for the course PHYS 1200 taught by Professor Stoler during the Spring '06 term at Rensselaer Polytechnic Institute.
 Spring '06
 Stoler
 Physics

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