Chapter 8: Problem 27
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Key Concepts
These are the key concepts you need to understand to accurately answer the question.
Chapter 8: Problem 27
At time
These are the key concepts you need to understand to accurately answer the question.
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Get started for freeWhat would become of the earth's orbit (which you may consider to be a circle) if half of the sun's mass were suddenly to disappear? Would the earth remain bound to the sun? [Hints: Consider what happens to the earth's KE and PE at the moment of the great disappearance. The virial theorem for the circular orbit (Problem 4.41) helps with this one.] Treat the sun (or what remains of it) as fixed.
Prove that for circular orbits around a given gravitational force center (such as the sun) the speed of the orbiting body is inversely proportional to the square root of the orbital radius.
Consider two particles of equal masses,
Verify that the positions of two particles can be written in terms of the CM
and relative positions as
Consider two particles of equal masses,
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