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California State University, Fullerton *

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295

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Astronomy

Date

Dec 6, 2023

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1

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Part 3: How Two Moons Shepherd Ring Particles Figure 4 shows a ring interacting with two moons. The inner shepherd moon will have a slightly higher speed and the outer shepherd moon will have a slightly lower speed than the ring particles, as indicated by the sizes of the arrows pointing in the direction of the moons’ orbits. We once again need to consider Kepler’s Third Law. Outer shepherd moon - N S~ Stray rlmg & e Ring > S - Inner shepherd moon Figure 4 ]. 0 Do the stray ring particles move faster or slower than the outer shepherd moon ? Faster 1 1 . Do the stray ring particles move faster or slower than the inner shepherd moon? Slower 12 The moons have a strong gravitational effect on the stray ring particles. Draw arrows on Figure 4 that represent the direction in which each moon’s gravity will act on the stray ring particles closest to it. Label these arrows to distinguish them from the arrows representing the speeds of the moons. 1 3 . Now, consider your answers from the previous section, and draw arrows on Figure 4 that indicate the direction each stray ring particle will do in its orbit after being affected by the shepherd moon closest to it. Label these arrows to distinguish them from the arrows representing the gravitational forces. D
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