PHYS110-Fall2021-Lab4(1) (2)
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PHYS 110L Lab # 4 Comparing the Solar System to Extra-solar Planets
1
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. For those wanting to make bar charts using Excel, please 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
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
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
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).
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 and farther
than the Earth’s orbital distance (please use the Solar System data table).
0
0.5
1
1.5
2
2.5
3
3.5
Chart Title
Step 2. Sketch a bar chart using two vertical bars, on the diagram provided below, for the number
of planets with masses less than
and greater than
the Earth’s mass. 2
0
0.5
1
1.5
2
2.5
3
3.5
Chart Title
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
).
0
0.5
1
1.5
2
2.5
3
3.5
4
4.5
Chart Title
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. 0
0.2
0.4
0.6
0.8
1
1.2
1.4
1.6
1.8
2
0
0.2
0.4
0.6
0.8
1
1.2
1.4
1.6
Chart Title
Period
Distance
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 forplaneequatoand further away from the Sun than Jupiter (include
Jupiter). You should have 5 dots on your plot.
4
0
50
100
150
200
250
300
0
5
10
15
20
25
30
35
40
45
Chart Title
Periods
Distance 0
50
100
150
200
250
300
0
5
10
15
20
25
30
35
40
45
Chart Title
Periods
Distance 5
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 (
M
Earth
) on the horizontal x
-axis for all planets in the Solar System. You should have 9 dots on your plot.
0
50
100
150
200
250
300
350
0
5
10
15
20
25
30
35
40
45
Chart Title
mass
Distance
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 the two variables (less scattering in the data points). Explain your reasoning.
Periods seem to be more linear while mass is more scattered. 6
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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:
Name:______
TOI-4138 b
________________________
Mass:__________.67__of Jupiter___________________
Period:__________3.660028 Days____________________
Semi-Major Axis Length:_____
0.051 AU
__________ Question 2:
Is this planet more massive than the Earth? Yes or No?
If so, how many times more massive? ______Yes, 212 times bigger_____________
Question 3:
Is this planet more massive than Jupiter? Yes or No?
If so, how many times more massive? _________No___________
7
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). 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:______3097____________
Question 5:
How many of the currently known extra-solar planets have orbits larger than Jupiter’s orbit around our Sun? Hint: Change the min
value from 0
to 5.20
and record the Represented planets
number below.
Represented Planets:________187___________
Question 6:
What is the percentage of currently known extra-solar planets that have orbits larger
than Jupiter’s orbit around the Sun? Hint: To find percentage, divide your represented planets
number by the total number
in the database and multiply by 100
.
Percentage:________3.84 %__________________
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:____2469_______________
Question 8:
What is the percentage of currently known extra-solar planets that have orbits smaller than Earth’s orbit around the Sun?
Percentage:_________50.71%__________________
8
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:_______4214______________
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:____________.185%________________
Question 11:
What percentage of the extra-solar planets shown have orbital periods similar to planet Venus?
Percentage:_____________.103%________________
Question 12:
What percentage of the extra-solar planets shown have orbital periods similar to planet Earth?
Percentage:____________.021%_________________
Question 13:
What percentage of the extra-solar planets shown have orbital periods similar to planet Mars?
Percentage:_____________.021%________________
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.
No, they are not the same range of orbital periods. Conclusion.
Please provide feedback regarding the lab assignment. Are there things that you liked or disliked? Thanks!!
I liked the lab. 10