EAS 1601
Exam 1, Sample
B
This is a sample exam. There is the possibility that the answers here are not correct. Make
sure that you carefully determine the correct answers yourself.
Although you will be given
a formula sheet for the actual exam, all formulae and constants you need for studying are
available in your lecture notes.
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LAB SECTION___________
Page 2 of 5
1.
Assume a star and planet system in another Galaxy.
The star has a radius of 7 x 10
5
Km
and an average surface temperature of 2 x 10
4
K.
Planet A orbits the star with an
eccentricity that approaches 0, with a semimajor axis of 5 x 10
8
Km.
The orbital period
of Planet A is equivalent to 2 Earth Years. Planet A has a radius of 7000 km and a mass
of 10
25
Kg.
Planet B also has an eccentricity approaching 0 and a semimajor axis equal
to twice that of Planet A.
Answer the following questions about this system:
a.
What is the mass of the star?
[10 Points]
()
()
Kg
s
s
Kg
m
m
M
GP
R
M
GM
R
P
GM
R
P
31
2
7
2
1
3
11
3
11
2
2
3
2
3
2
2
2
1
3
10
85
.
1
10
16
.
3
10
67
.
6
10
5
4
4
4
2
×
=
×
×
×
×
×
=
=
⇒
=
⇒
⎟
⎟
⎠
⎞
⎜
⎜
⎝
⎛
=
−
−
−
π
b.
What is the orbital period of Planet B? [10 Points]
()
yr
s
yr
s
s
Kg
s
Kg
m
Km
m
Km
GM
R
P
or
yr
yr
yr
P
R
R
P
P
R
R
but
R
R
P
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 Fall '08
 Lynch
 Big Bang

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