Question
For a particle moving in central force field, the Hamiltonian of the system is given by
Assuming the motion to be elliptical, obtain action variables Jr and Jo.
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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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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_______ _____ _______ _______ _____ ________ ______ ____ ______ __________.
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__________ ______ __________ _________.
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