Distances In Space

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Module 02 – Kepler’s Laws Lab / Understanding Planetary Motion Johannes Kepler, a 17th Century astronomer and mathematician, published three laws of planetary motion that improved upon Copernicus’s heliocentric model. These laws were made possible by years of accurate planetary measurement collected by Kepler’s predecessor, Tycho Brahe. Kepler’s laws were a radical change from previous astronomical models for the Solar System which maintained the ancient Greek idea of perfect circular motion. With the Stellarium planetarium software, we are able observe the orbit of the planets and test some of his ideas. Background Question – Describe Kepler’s three laws of planetary motion. Object: Explain the purpose of this laboratory assignment in your own words. What do you think you will accomplish or learn from this exercise? Hypothesis: Write a simple hypothesis connected to Kepler’s laws of motion that you will be able to test using the Stellarium software (for example, if Kepler’s laws are correct, Mercury should move fastest in its orbit when it is closest to the Sun). Procedure 1) Open the Stellarium software. Open the location window (F6) and change the planet to Solar System Observer. This will change our observing location to a position outside our Solar System. 2) Open the Sky and Viewing options window (F4). Under the “Sky” tab, uncheck the Atmosphere, Stars, and Dynamic eye adaption. Check “Show planet markers” and “Show planet orbits”. 3) Select the Landscape tab and uncheck “Show ground”. 4) Open the Search window (F3) and enter in the Sun. The view should shift such that the Sun is in the center of the screen. 5) With the mouse wheel, zoom in toward the Sun and you should be about to see the orbits and position of each of the planets. If you left click on one of the planets, then only that particular planet’s orbit will be displayed. With the time control at the bottom right, accelerate the flow of time until you see the planets moving in their orbits. Q1. List the visible planets in order of increasing distance from Sun. Q2. Are the planets moving at the same speed? If not, which planet is the fastest and what planet is the slowest 6) Zoom down until you see Mercury orbit. Left click on Mercury so you only see Mercury’s orbit and information on the left. Q3. Is Mercury orbit perfectly circular or is it slightly egg shaped? Q4. Is the Sun at the exact center of Mercury orbit? 7) Click somewhere off a planet so all the planets’ orbits are displayed. Zoom out until you see the orbit of Mars. Open the Search window and type in 2P/Encke. Stellarium will center on a comet that has a very elliptical orbit. Increase the flow of time enough so you can see Comet Encke move in orbit around the Sun Q5. When does Encke move the fastest? Is this in agreement with Kepler’s second law? 8) When you click on a planet, a display of information is show on the upper left. This include the planet’s distance from Sun and its sidereal period. According to K ...

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1/27/2019 Homework 2 https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=7008141 1/9 Homework 2 Due: 11:59pm on Friday, February 1, 2019 You will receive no credit for items you complete after the assignment is due. Grading Policy Jupiter in Motion Jupiter orbits the Sun at an average distance of 5.203 AU. Part A - What is the length of its year in Earth years? Answer to two decimal places. You did not open hints for this part. ANSWER: Motion of Mars Mars's orbit is rather eccentric. Part A - Does Mars move at a higher speed when it is farther away from the Sun or closer to it? Explain. You did not open hints for this part. ANSWER: Kepler's 3rd Law Part A - All of the following statements are true. Which one can be explained by Kepler’s third law? You did not open hints for this part. ANSWER: Tycho Brahe Part A - The great contribution of Tycho Brahe was to ANSWER: 3785 Character(s) remaining Essay answers are limited to about 500 words (3800 characters maximum, including spaces). (none provided) Mars moves faster in its orbit when it is closer to the Sun than when it is farther from the Sun. All the planets orbit the Sun in nearly the same plane. Earth is slightly closer to the Sun in January than in July. Venus orbits the Sun at a faster orbital speed than Earth. The Sun is not in the precise center of Saturn’s orbit. 1/27/2019 Homework 2 https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=7008141 2/9 The Greeks Part A - The ancient Greeks get a lot of attention for their contributions to science because ANSWER: Ellipses Part A - Which of the following statements about an ellipse is NOT true? ANSWER: Eccentricities Part A - When we say that a planet has a highly eccentric orbit, we mean that: ANSWER: Eris possess a metal nose discover four moons orbiting Jupiter, thereby lending strong support to the idea that Earth is not the center of the universe offer the first detailed model of a Sun-centered solar system, thereby beginning the process of overturning the Earth-centered model of the Greeks observe planetary positions with sufficient accuracy so that Kepler could later use the data to discover the laws of planetary motion discover that planets orbit the Sun in elliptical orbits with varying speed they were the first people to realize that Earth is a planet orbiting the Sun they were the only ancient culture that kept written records of their astronomical observations they were the first people known to try to explain nature with models based on reason and mathematics, without resort to the supernatural the books of every other culture were lost in the destruction of the library of Alexandria The semimajor axis of an ellipse is half the length of the longest line that you can draw across an ellipse. The focus of an ellipse is always located precisely at the center of the ellipse. An ellipse with a large eccentricity looks much more elongate.

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