<documents_info>Lagrange's Equations of Motion,Hamilton's Principle and its Applications,Conservation Laws in Lagrangian Mechanics,The Hamiltonian Formulation of Mechanics,Applications of Hamiltonian Mechanics to Celestial Mechanics,Noether's Theorem and Symmetries in Mechanics" </documents_info>
<query>What are the conserved quantities in Lagrangian Mechanics, and how are they related to symmetries in the system?</query>
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<documents_info>Lagrange's Equations of Motion,Hamilton's Principle and its Applications,Conservation Laws in Lagrangian Mechanics,The Hamiltonian Formulation of Mechanics,Applications of Hamiltonian Mechanics to Celestial Mechanics,Noether's Theorem and Symmetries in Mechanics" </documents_info>
<query>What are the conserved quantities in Lagrangian Mechanics, and how are they related to symmetries in the system?</query>
user
Chunk
assistant
What are the conserved quantities in Lagrangian Mechanics, and how are they related to symmetries in the system?
Lagrange's Equations of Motion,Hamilton's Principle and its Applications,Conservation Laws in Lagrangian Mechanics,The Hamiltonian Formulation of Mechanics,Applications of Hamiltonian Mechanics to Celestial Mechanics,Noether's Theorem and Symmetries in Mechanics" 