Lab 4
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Name:_______ ___________
Date:______ _____
PHYS 110L
Lab # 4
Comparing the Solar System to Extra-solar Planets
1
Learning Objectives:
In this lab assignment you will conduct a series of inquiries to compare/contrast solar system
planets orbiting the Sun and planets orbiting other stars (extra-solar planets).
Equipment:
access to
http://exoplanet.eu/catalog
,
Solar System data table (see below), calculator
Instructions:
Please read and follow the steps described below
and answer
all
questions. If
possible, please make bar charts using Excel. View the following video:
Making a Simple Bar
Graph in Excel
–
YouTube
(
https://www.youtube.com/watch?v=_Txpfyn4ipI
)
.
An Excel file
containing data from the table below is provided in the “Lab 4” link on Blackboard.
Solar System Planetary Data Table
Name
Mass
(M
Earth
)
Mass
(M
Jupiter
)
Period
(Earth-Years)
[Earth-Days]
Semi-Major
Axis Distance
(AU)
Object Name
How many times
larger than (or
fraction of)
Earth’s
mass
How many times
larger than (or
fraction of)
Jupiter’s
mass
How many
Earth-Years the
planet takes to
orbit our Sun
How many
Earth-Sun
distances away
the planet orbits
our Sun
Mercury
0.06
0.0002
0.24
[88]
0.39
Venus
0.82
0.003
0.62
[226]
0.72
Earth
1.00
0.003
1.00
[365]
1.00
Mars
0.11
0.0003
1.88
[687]
1.52
Jupiter
318
1.00
11.86
[4,328]
5.20
Saturn
95.2
0.299
29.5
[10,775]
9.54
Uranus
14.5
0.046
84.0
[30,681]
19.2
Neptune
17.1
0.054
165
[60,266]
30.1
Pluto*
0.002
0.00001
249
[90,947]
39.5
1 Modified from
Engaging in Astronomical Inquiry
, by S. J. Slater, T. F. Slater, and D. J. Lyons, 2010, W. H. Freeman
and Company.
1
Note: Pluto is currently not defined as a planet by the International Astronomical Union, but for
this lab we will include Pluto in our analysis.
Part #1 Exploration of Solar System Planets
In this section you will construct bar charts based on the table of Solar System data
.
Note that
the data table is available as an Excel file in Blackboard in the Lab 4
link.
An example of a
bar chart is given below:
A bar chart is a diagram in which numbers are represented by vertical or horizontal bars. For
example, the bar chart above gives the number of people from a sample who selected their
favorite color as either red, blue, green, or yellow. Notice that the number of people that selected
red is 17 (as indicated by the left-most vertical bar), 10 people picked blue, 5 people selected
green, and 7 people choose yellow.
Step 1.
Sketch a bar chart using two vertical bars, on the diagram provided below, for the number
of planets closer or equal and farther
than the Earth’s orbital distance (please use the Solar
System data table).
2
Step 2.
Sketch a bar chart using two vertical bars, on the diagram provided below, for the number
of planets with masses less than
or equal and greater than
the Earth’s mass.
Step 3.
Sketch a bar chart using three vertical bars, on the diagram provided below, for the
number of planets with an orbital period: a) less than the Earth (
𝑃 < 𝑃
𝐸𝑎𝑟𝑡ℎ
), b) equal to or greater
than the Earth’s orbital period and less than or equal to Jupiter’s orbital period (
𝑃
𝐸𝑎𝑟𝑡ℎ
≤
𝑃
𝑃𝑙𝑎𝑛𝑒𝑡
≤ 𝑃
𝐽𝑢𝑝𝑖𝑡𝑒𝑟
), and c) greater than Jupiter’s orbital period (
𝑃
𝐽𝑢𝑝𝑖𝑡𝑒𝑟
).
3
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Step 4.
A correlation diagram is a graph of dots showing how two properties or variables are
related. Use the Solar System data table to sketch a correlation diagram of semi-major axis
distance (AU) on the vertical
y
-axis versus period (years) on the horizontal
x
-axis for planets
closer to the Sun than Jupiter (do not
include Jupiter). You should have four dots on your plot.
Step 5.
Use the Solar System data table to sketch a correlation diagram of semi-major axis
distance (AU) on the vertical
y
-axis versus period (years) on the horizontal
x
-axis for planets
4
equal to and further away from the Sun than Jupiter (include
Jupiter). You should have 5 dots on
your plot.
Step 6.
Use the Solar System data table to sketch a correlation diagram of semi-major axis
distance (AU) on the vertical
y
-axis versus mass (
?
𝐸𝑎𝑟𝑡ℎ
) on the horizontal
x
-axis for all planets in
the Solar System. You should have 9 dots on your plot.
5
Question 1:
Based on your work analyzing the planets in our Solar System, which variable,
period or mass, seems to be more highly correlated to semi-major axis distance? Highly
correlated means a stronger relationship between two variables (less scattering in the data
points). Explain your reasoning.
Period. There is less scattering in the data points.
Part #2 Exploration of Extra-solar Planets
For this part, you will need to access the Interactive Extra-Solar Planets Catalog
(
http://exoplanet.eu/catalog
)
. Notice that the first column gives the extra-solar planet’s Name
, the
second column is the Mass
(in terms of Jupiter’s mass), the third column is the Radius
(in terms
of Jupiter’s radius), the fourth column is orbital Period
(in Earth days), and the fifth column is
the Semi-major Axis
(in AU).
Step 7.
Examine the data table and determine which planet was most recently
discovered/updated and record the data (including units) here. Make sure to include a planet in
which the mass, period, and semi-major axis are known:
Name:__________
TOI
-
1420 b
Mass:______________0.079_________________
Period:______________
6.9561063
6
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________________
Semi-Major Axis Length:_____0.071__________
Discovery (year):____________2023__________
Update (date):___________09/19/2023______________
Question 2:
Is this planet more massive than the Earth?
Yes or No?
If so, how many times more massive?
_________25.1__________
Question 3:
Is this planet more massive than Jupiter?
Yes or
No?
If so, how many times more massive? _________N/A___________
Step 8.
Make histograms (bar charts) of extra-solar planet data by selecting
Diagrams
in the top
banner (to the right of
Exoplanet.edu
). Click on
Histogram plot
near the top-right of the
webpage.
Step 9.
In the panel on the right under
X axis
, select
Semi-Major Axis
from the drop-down
menu. Under the
log scale
button, set
min
to 0
and
max
to 10
(AU), and hit enter on your
keyboard. Make sure that the
log scale
button is unchecked
. The displayed plot should have a
scale on the horizonal
x
-axis that ranges from 0 to 10 AU.
Question 4:
How many extra-solar planets are shown in this data set? To find out, scroll down
the page and look under the
Statistics
heading for
Represented planets
.
Represented Planets:________3573__________
Question 5:
How many of the currently known extra-solar planets have orbits larger than
Jupiter’s orbit around our Sun but less than 10 AU? Hint: Change the
min
value from 0
to 5.20,
keep the
max
value at 10 AU, and record the
Represented planets
number below.
7
Represented Planets:_________78__________
Question 6:
What is the percentage of currently known extra-solar planets that have orbits larger
than Jupiter’s orbit around the Sun but less than 10 AU?
Hint: To find percentage, divide your
represented planets
number by the total number
in the database and multiply by 100
.
Percentage:____________
1.417409%
______________
Question 7:
How many of the currently known extra-solar planets have orbits smaller than
Earth’s orbit around the Sun? Hint: Change the
min
value to 0
and the
max
value to 1
.
Represented Planets:_________2801__________
Question 8:
What is the percentage of currently known extra-solar planets that have orbits
smaller than Earth’s orbit around the Sun?
Percentage:____________
50.89951%
_______________
Step 10.
Under
X-axis
in the drop-down menu, change the setting to be
Orbital Period
. For the
min
value enter 0
and for the
max
value use 900
(days). Make sure that the
log scale
button is
unchecked and that the new plot shows the appropriate horizontal
x
-axis scale ranging from 0 to
900 days.
Question 9:
How many extra-solar planets in total (represented planets) are shown in this data
set?
Represented Planets:___________4630__________
8
Question 10:
What percentage of the extra-solar planets shown have orbital periods similar to
planet Mercury? Hint: You will need to change the
min
and
max
values so that they bracket
either side of Mercury’s orbital period (
i.e.
use
min
=87 and
max
=89 days).
Percentage:____________
0.1817191%
________________
Question 11:
What percentage of the extra-solar planets shown have orbital periods similar to
planet Venus?
Percentage:______________
0.1090314%
_______________
Question 12:
What percentage of the extra-solar planets shown have orbital periods similar to
planet Earth?
Percentage:_____________
0.0181719%
________________
Question 13:
What percentage of the extra-solar planets shown have orbital periods similar to
planet Mars?
Percentage:_____________
0.0181719%
________________
9
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Question 14:
What percentage of the extra-solar planets shown have orbital periods similar to
planet Jupiter?
Percentage:_____________0%________________
Question 15:
Consider the following statement, “Most extra-solar planets discovered take about
the same length of time to orbit their star as Earth takes to orbit the Sun.” Would you agree or
disagree with this generalization base on the evidence you collected by looking at the range of
possible orbital periods? Explain your reasoning.
I would disagree because there was only one planet that had a similar orbital period to
Earth, and that’s 1/5503.
Conclusion.
Please provide feedback regarding the lab assignment. Are there things that you
liked or disliked? Thanks!!
10