Galactic Dynamic Homework (Problem 2.1 of B&T)

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The condition "limρr^5/2=0" is crucial for preventing infinities in potential energy (PE) calculations within the context of Galactic Dynamics. This requirement is stricter than merely avoiding infinities in mass, ensuring a more stable mathematical framework. By imposing this condition, it helps maintain the physical realism of the model being analyzed. Understanding its usefulness aids in accurately modeling gravitational interactions in astrophysical systems. Overall, this condition is essential for achieving meaningful results in the study of galactic dynamics.
Chamarel Elna
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TL;DR Summary: Why the topic give the condition "limρr^5/2=0“?What is the usefulness of this condition? Thanks!

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You are trying to prevent infinities from popping up in the PE. This is more strict than trying to prevent infinities from popping up in the mass.
 
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