A a star in a perfectly circular orbit in the

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Unformatted text preview: of a perfectly circular orbit at the center of the epicycle. a. A star in a perfectly circular orbit in the inertial frame would be seen to be at rest at the “guiding center” in the frame rotating with the galaxy at the same angular velocity as the star’s orbtial angular velocity in the inertial frame. Gravity is clearly pulling the star toward the center of the galaxy, even in the rotating frame. What force counters the pull of gravity to keep the star at rest? b. Why does a star, in the rotating frame, if perturbed outward from this “guiding center,” orbit as an angular velocity that lags behind the “guiding center”? Inversely, why does the star if pert...
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