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Suppose a Collision Between Two Large Asteroids Creates a Handful

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Suppose a collision between two large asteroids creates a handful of smaller asteroid fragments, some of which orbit at 2.7 AU from the Sun and some which orbit at 2.5 AU from the Sun.Based on the asteroid distribution plot shown in the figure below, which of the two smaller asteroid groups will have a stable orbit around the Sun, and why? Suppose a collision between two large asteroids creates a handful of smaller asteroid fragments, some of which orbit at 2.7 AU from the Sun and some which orbit at 2.5 AU from the Sun.Based on the asteroid distribution plot shown in the figure below, which of the two smaller asteroid groups will have a stable orbit around the Sun, and why?

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The asteroids at 2.5 AU fall into a 3:1 ...

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