Project1-WorkSheet-FALL2023
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School
Georgia Southern University *
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Course
1000
Subject
Astronomy
Date
Jan 9, 2024
Type
docx
Pages
7
Uploaded by ElderIbex1351
ASTR1000A
Fall 2023
Project 1 – Kepler’s Laws
Worksheet
Student’s Name: _____________________________________________________________
To complete this worksheet, follow the instructions provided in file “Project1-Instructions.pdf” available in folio. Each “STEP” in this worksheet refer to the steps explained in the instruction.
Part I. Elliptical Orbits
STEP 4. Snapshot of orbit of automatically preset Sun-Earth system.
[Paste screenshot here. Use the Crop tool of Word to cut all the menus from the screen, show only the orbit of
the planet. “Grid” and “Path” must be visible. Resize the image to about 1/3 of the page height. Delete this
legend when you are done.]
STEP 5. Snapshot of orbit of a planet with increased
initial velocity.
[Paste screenshot here. Use the Crop tool of Word to cut all the menus from the screen, show only the orbit of
the planet. “Grid” and “Path” must be visible. Resize the image to about 1/3 of the page height. Delete this
legend when you are done.]
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STEP 6. Snapshot of orbit of a planet with decreased
initial velocity.
[Paste screenshot here. Use the Crop tool of Word to cut all the menus from the screen, show only the orbit of
the planet. “Grid” and “Path” must be visible. Resize the image to about 1/3 of the page height. Delete this
legend when you are done.]
Part I Conclusions
Complete the following paragraph with one of the options shown in gray:
In conclusion, we can see that when the initial velocity of the planet is increased, the size of the orbit (increases/decreases/remains the same) ________________________
; and when the initial velocity of the planet is
decreased, the size of the orbit (increases/decreases/remains the same) ________________________
.
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Part II. Kepler’s 3rd Law
STEPS 3, 4. Measured and calculated data of three planetary orbits.
Table 1.
Ellipses simulation data. The columns correspond to the following information: Column 1, simulation planet; column
2, semimajor axis in kilometers; column 3, semimajor axis in astronomical units; column 4, orbital period in Earth days; column 5, orbital period in Earth years; column 6, cube of the semi-major axis in astronomical units; column 7, square of the period in Earth years. Simulation
a (kilometers)
a (AU)
p (days)
p (years)
a
3
(AU
3
)
p
2
(years
2
)
Planet 1
Planet 2
Planet 3
STEP 5. Snapshot of the orbits of three planets, showing the “Path” of the planet, the “Measuring tape” tool with reading, and the orbital period reading.
Orbit 1 snapshot.
[Paste the screenshot here, crop. Delete this legend when you are done.]
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Orbit 2 snapshot.
[Paste the screenshot here, crop. Delete this legend when you are done.]
Orbit 3 snapshot.
[Paste the screenshot here, crop. Delete this legend when you are done.]
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Part II Conclusions
1. By what percentage is p
2
different from a
3
? (you can use the following percentage difference calculator https://www.calculatorsoup.com/calculators/algebra/percent-difference-calculator.php
) [Your answer here]
2. Considering the magnitude of the errors in the measurements in the simulation, is this percentage difference reasonable? [Your answer here]
3. What are possible sources of error in your measurements?
[Your answer here]
5. Was Kepler’s 3
rd
law verified by your experiments? Explain.
[Your answer here]
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Part III. Kepler’s 3rd Law and the moons of Jupiter
STEP 1. Orbital data of the satellites of Jupiter.
Table 2.
Satellites of Jupiter orbital data.
Satellite
p
(seconds)
a
(meters)
Io
Europa
Ganymede
Callisto
STEPS 2-3. Calculated mass of Jupiter.
Table 3.
Mass of Jupiter calculations.
Satellite
p
2
(seconds
2
)
a
3
(meters
3
)
Calculated mass of Jupiter
(kg)
Io
Europa
Ganymede
Callisto
STEP 4. Mass of Jupiter.
Average mass of Jupiter: ________________________________ kg (use scientific notation)
Part III Conclusions
1. Use your textbook or other internet resources to search the accepted mass of Jupiter in kilograms.
Accepted mass of Jupiter: ________________________________ kg (use scientific notation)
2. By what percentage is the accepted mass of Jupiter different from the average mass you’ve calculated?
(you can use the following percentage difference calculator https://www.calculatorsoup.com/calculators/algebra/percent-difference-calculator.php
) [Your answer here]
6
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Project Feedback Questions The following questions are graded for completion, there are no wrong or correct answers. 1. Write a summary of what knowledge you’ve gained or reinforced with this project, what surprised you the most, and other thoughts about this exercise.
[Your answer here]
2. Do you consider this project a good learning experience? Why? (graded for participation)
[Your answer here]
Before you submit, go over your work, eliminate all excessive blank spaces. Do not leave empty pages. Resize all snapshots to a size not larger than about 1/3 the text region of the page.
Submit in pdf format.
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