Chapter 13. Orbits of the Galilean Moons

13.1 Introduction

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Author: Jordan Raddick, Johns Hopkins University

Editor: Beth Hufnagel, Anne Arundel Community College

Galileo's Atmosphere

The goals of this module: After completing this exercise, you should be able to:

  1. Recognize the four Galilean moons (Io, Europa, Ganymede and Callisto in order of increasing distance away from Jupiter) traveling with Jupiter around the Sun.
  2. Compare the apparent speeds of a Jovian moon at different parts of its orbit as seen from Earth, and explain why the variation is mostly an effect of watching the orbit from the side.
  3. Measure the approximate orbital period of Io.

In this module you will explore:

  1. What Galileo observed about Jupiter's moons.
  2. How orbits appear when viewed from the side.
  3. How to recognize different moons from observations

Why you are doing it: Galileo's observations of Jupiter's four largest moons in 1610 were the first definitive proof that Earth was not the center of the universe. They also helped astronomers realize that Copernicus's Sun-centered model of the Solar System was better than an Earth-centered model. (Simon Marius claimed that he had observed them first in 1609, but Galileo published first. In addition, Marius had already been suspected of plagiarizing from Galileo two years before1.)

1Albert Van Helden, The Galileo Project, http://galileo.rice.edu/sci/marius.html, accessed September 26, 2007.

13.2 Background

In the early 1600s, astronomers were still not sure about Earth's place in the Solar System and the Universe. Since ancient times, astronomers believed that the Earth was at the center, and that the Sun, planets, and stars all orbited around Earth. In 1543, Nicolas Copernicus proposed a model in which the Sun was at the center of the Solar System, and all planets including Earth revolved around it. Scientific models are judged by the predictions they make, and Copernicus's model predicted the positions of the planets just as well as the ancient models. There was no way to easily decide between the models, so many astronomers stuck with what they knew.

In 1608, an Italian scientist named Galileo Galilei heard about a new invention called the telescope that allowed people to see things that were very far away. Galileo decided to build his own. The next year, he began making observations of the Moon and stars.

On January 7, 1610, Galileo looked at Jupiter through his telescope. He discovered four bright stars next to Jupiter. He thought that Jupiter would leave them behind as it continued in its orbit, but the next night, he still saw them next to Jupiter!

He watched them for a week, and they stayed next to Jupiter. He checked ancient records; no one had ever seen these "stars" before. Could the mysterious stars be moons orbiting Jupiter, just as our moon orbits Earth?

In this tutorial you will see the moons of Jupiter, just as Galileo saw them in 1610.

Jupiter and its moons
Image courtesy NASA/JPL-Caltech.

13.3 What Did Galileo See in 1610?

The animation below shows what Galileo would have seen in his telescope. These are the actual positions of Jupiter's moons on January 7, 1610. (False colors have been added to the moons to help you see them better.) Click the play button to play the animation from beginning to end. It shows the positions of the moons once per hour from 1800 Coordinated Universal Time (UTC) to 0700 UTC the next morning, which was about the time Galileo could have seen them. Click the pause button to pause the animation at any point. You can also click the step forward buttun to move forward by one hour or the step backward button to move backward by one hour. You can also click the stop button to reset and start the animation over from the beginning.

Observe the animation carefully, and answer the questions below.

Jupiter's Moons Animation
Based on a simulation from Project CLEA.

Question Sequence

Question 13.1

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3
Try again. Watch the animation again, and pay attention to where the moons were on January 15 at 0700 (at the end of the animation). It may help to step the animation forward to that hour.
Correct. All four moons were to the right of Jupiter.
Incorrect. All four moons were to the right of Jupiter.

Question 13.2

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3
Try again. If you step the animation forward to 0200, it reappears.
Correct. We have an edge-on view of Jupiter's system, so we see the moons moving from side to side. As the moons go around Jupiter, once each orbit they go behind and then in front of Jupiter from our perspective.
Incorrect. We have an edge-on view of Jupiter's system, so we see the moons moving from side to side. As the moons go around Jupiter, once each orbit they go behind and then in front of Jupiter from our perspective.

Question 13.3

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3
Try again. Watch the animation again, and see what happens to the moon on the far left.
Correct. You can see that the moon moved slightly to the left, then all the way to the right. It completed about half of an entire orbit around Jupiter.
Incorrect. You can see that the moon moved slightly to the left, then all the way to the right. It completed about half of an entire orbit around Jupiter.

Question 13.4

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3
Try again.
Correct. The moon that you watched in Question 3 was Callisto. You can conclude this in two ways. That moon moves more slowly than the other three moons (gravitational attraction decreases as the distance increases), and moves farther away from Jupiter than any of the others.
Incorrect. The moon that you watched in Question 3 was Callisto. You can conclude this in two ways. That moon moves more slowly than the other three moons (gravitational attraction decreases as the distance increases), and moves farther away from Jupiter than any of the others.

Question 13.5

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3
Try again. Watch the animation again. You can watch any of the moons you want, but the ones that start closest to Jupiter will be the easiest to see.
Correct. The moons appear to move fastest when they are close to Jupiter.
Incorrect. The moons appear to move fastest when they are close to Jupiter.

Question 13.6

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3
Try again. Watch the animation again and notice what happens to the two moons.
Correct. The moons have switched places.
Incorrect. The moons have switched places.

Question 13.7

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3
Try again. Watch that moon carefully. Where does its orbit take it, and how fast does it orbit?
Correct. That moon moves faster than all the others, and stays closer to Jupiter. So it must be the closest of the four Galilean moons, Io.
Incorrect. That moon moves faster than all the others, and stays closer to Jupiter. So it must be the closest of the four Galilean moons, Io.

Question 13.8

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3
Try again. Watch the animation again, and focus on the moon that you watched in Question 7. It might help to try watching once by playing the animation, and again by stepping forward one hour at a time.
Correct. The moon you watched in Question 7 takes about one or two days to orbit Jupiter (the currently accepted value is 1.76 days).
Incorrect. The moon you watched in Question 7 takes about one or two days to orbit Jupiter (the currently accepted value is 1.76 days).

13.4 How Would the Orbits Look from Above?

In the last section, you looked at the four largest moons of Jupiter as Galileo saw them over a period of nine days. You noticed how the moons appear to move faster when they are close to Jupiter, and slower when they are far away from Jupiter. Play the animation again, but this time click on the Top View. This is the inferred explanation for how the Jovian system looks from above the North Pole of Jupiter - confirmed centuries later by NASA's Galileo Mission!

Jupiter's Moons Animation
Based on a simulation from Project CLEA.

Question 13.9

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3
Try again. Watch both views carefully and see how fast the moons appear to move.
Correct. When the moons appear close to Jupiter in the Side View, their motion is mostly side-to-side from our perspective, so they appear to move faster. For a quantitative analysis of the orbits of the Moons, you may want to do the separate Kepler's Laws activity.
Incorrect. When the moons appear close to Jupiter in the Side View, their motion is mostly side-to-side from our perspective, so they appear to move faster. For a quantitative analysis of the orbits of the Moons, you may want to do the separate Kepler's Laws activity.

13.5 Evidence for a Sun-centered Solar System

You have seen the four Galilean moons moving as Galileo saw them. You learned in the Background to this activity that astronomers in Galileo's time did not agree on whether the Earth or the Sun was at the center of the Solar System.

Question 13.10

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3
Try again. Which feature of Jupiter's moons makes them possible in a Sun-centered Solar System but not in an Earth-centered Solar System?
Correct. Copernicus's Sun-centered Solar System theory allowed for moons to orbit other planets, so astronomers slowly started to accept the Sun-centered Solar System theory instead.
Incorrect. Copernicus's Sun-centered Solar System theory allowed for moons to orbit other planets, so astronomers slowly started to accept the Sun-centered Solar System theory instead.

13.6 What Did the Galilean Moons Look Like to Modern Probes?

The animations below show simulated views of what the Galilean moons looked like to the Galileo space probe when it flew by the moons as part of its exploration to Jupiter. As you can see, we can get a totally different view from robotic missions than Galileo could with his telescope on Earth. Our view of these moons has certainly changed since 1610!

Galilean Moon Animation
Galileo's view of Io
Galileo's view of Ganymede

Galileo's view of Europa
Galileo's view of Callisto

13.7 Quick Check Quiz

Indepth Activity: Orbits of the Galilean Moons

Question 13.11

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Correct.
Incorrect.

Question 13.12

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Correct.
Incorrect.

Question 13.13

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Correct.
Incorrect.

Question 13.14

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Correct.
Incorrect.

Question 13.15

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
Correct.
Incorrect.

Question 13.16

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
Correct.
Incorrect.

Question 13.17

B49I5k5JiAGZpQaErEx+JVIT7MGPU7VtpnPGUXcEnP1j4mkaqBUh/pIRHyhrGhERzlrFZoVmBMWzHdeiUIvNoeOOARLo4Es26LOBZvdRpfNCIxOjnJ4Msb0MT7wFJqdMUq/8zdT2g5wOHMMDySAPcJHs5K+x76nfJfCFYu0rbFFS+5YiKOukCw==
Correct.
Incorrect.

Question 13.18

27y4yEZMqcqMlraaLxZwpjBx8s0WxOT5ThiKQ86CPIEU7OMcVlj4M65lj42K+EBcqBU9c+AWTukJCYQzJXLhI4tShWGqgIXLL+OkZGGbBBzK89WkNTgN8C842Z77FBb2MY0EqKgi9HNnwRXilmUYFEW04POBKLG5dW3pzVDZBfZftiFgNsQEKz05HUJrCf59JXS6XhW+1kp8wsnDwdcRgxch1A9AC1RM3ERAe+8nAMHolp0pItV5YZoRWB2wahpCpnoBUeO4lncca8ide3LgfsxX0MPNWz4l+f7K8BtUmaX597fKwGr4ZrEyFw/d3d90
Correct.
Incorrect.

Question 13.19

lbi5WNCeAgGAD55IqZq5q0IQNpY4ocPasC6OdQYOwuWbvD8KVdwQUH+15x1wSEuwPpuy7ZF99XffjrSHm6LiMDQESIfDfhOrbRz0S93Q5cdnD3i8QmzycQXgVZVk12d1q8d8lm+HC2gh2JPiAQNMc2V29UR8zotL
Correct.
Incorrect.

Question 13.20

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
Correct.
Incorrect.