Question

For a particle moving in central force field, the Hamiltonian of the system is given by

equation Assuming the motion to be elliptical, obtain action variables Jr and Jo.

20 Feb 2025
Answer :
Word Count : 266
केंद्रीय बल क्षेत्र में किसी कण के लिए दिए गए हैमिल्टोनियन: \[ H = \frac{1}{2m} \left( p_r^2 + \frac{p_0^2}{r^2} \right) \] जहाँ \( p_r \) रेडियल संवेग है और \( p_0 \) कोणीय संवेग का अपरिवर्तनीय घटक है। हमें क्रिया चर (Action Variables) \( J_r \) और \( J_θ \) प्राप्त करने हैं। ___ ________ _________ __________ __________ ___ ________ _______ ____ _________ ____ ______.
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