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Unformatted text preview: Midterm Exam #1: Astronomy 160b, spring 2006, January 31, 2006 NAME: This test consists of problems relating to a fake newspaper report (see testarticle) on a
potential future discovery. The test consists of 30 points: the four problems on the back
of this sheet total 14 points, and problem ﬁve on the next sheet is worth 16 points. The
test will last for 50 minutes 7 please plan your time accordingly. Please answer the
problems on the test paper. Please put your name on both pages” The following
quantities and equations may prove useful: 1 year = 3 X 107 seconds 1 A.U. = 1.5 x 1011m
1M0 = 2 X 1030 kg 1MJ = 103MG 1ME = 3 x 106MG
PJ m 11 years cm x 5 AU.
0 = 3 X 108 m/s G = 7 X 10—11 in mks units
1 parsec = 3 x 1016111 1 radian = 2 x 105 arcseconds
a3 = PZGM/(47r2) a = 1)2/Dl
V = 27ra/P WM* 2 VEDMp AA/A = V/c 1. (6 points): Dr. Budweiser notes that the relatively low mass of the star and the small
orbit of the planet make New Earth easier to detect using the radial velocity method.
Why is this? This question can be answered in two statements of 1—2 sentences each,
so to help organize your thoughts, we provide the start of each of those statements: Planets are easier to detect around low mass stars because Planets with small orbits are easier to detect because 2. (4 points): In order to determine the density of the planet, the Heineken team needs
to know both its mass and its radius. The mass of the planet can be determined from
the radial velocity curve. How do they know its radius? 3. (4 points). Finish the incomplete sentence at the end of the article: “The composition of the atmosphere was determined by NAME: 5 (16 points): The plot above is the radial velocity curve observed by the Anheuser—
Busch team (note to 2007 students — the plot was simply a sine curve with some points
on it 7 I xeroxed it out of a journal article so I don’t have an online copy, but you can
see it on the answers). You’ll notice that the axes are not labelled. Please label them.
In particular, put in the quantities that are being plotted. Be speciﬁc 7 don’t just
say “distance”, but “distance between the planet and the star” etc (that’s not the right
answer for either axis, by the way). Then put in numerical values with appropriate units
for the tick marks. To do this you’ll need to do some calculations based on information
presented in the fake news article. Please carry out the calculations in the space below,
and continue on the other side of the paper if necessary. ...
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 Spring '08
 MarkSaltzman
 Velocity, Planet, Radial velocity

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