Consider a system of two particles of reduced mass mu that, Physics

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Consider a system of two particles of reduced mass mu that

Consider a system of two particles of reduced mass μ that interact according to the force F= -kr³ , where is the distance among them.

(a) Write down the potential for the force, and effective potential for the system.

(b) What is the rotation period for this circular orbit? (Hint: use EQ for the centripetal force)

(c) Discover the radius of circular orbits for this system (i.e. discovers the extremism of the effective potential and show it is a minimum).

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