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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___ ____.
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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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