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Asteroids should be able to remain stably trapped at the Lagrange points of the Earth-Sun system ...

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Asteroids should be able to remain stably trapped at the Lagrange points of the Earth-Sun system ...

Asteroids should be able to remain stably trapped at the Lagrange points of the Earth-Sun system (see Section 9-3 and Fig. 9-6, Comins and Kaufmann, Discovering the Universe, 7th Ed.), provided that they are NOT subjected to other, stronger, gravitational influences. As a test of this stability, calculate how strong Jupiter's gravity is at one of the Earth's Lagrange points (when Jupiter is closest to that point) compared to the strength of the Earth's gravity at the same point. (You will need to use Newton's law of gravitation [see Toolbox 2-3]; it will also help to draw a diagram.) Compared to the Earth's gravitational force at this point, Jupiter's gravity is
A) 12 times stronger. C) 18 times stronger.
B) 76 times stronger. D) 1/18 as strong.

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Discovering the Universe

Edition: 7^th

Authors: Kaufmann, Comins

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Only two things are infinite, the universe and human stupidity, and I'm not sure about the former.

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