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2. The Lagrangian is conventionally expressed L = T V where T is kinetic energy and V is gravitational potential energy. For a planet of

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2. The Lagrangian is conventionally expressed L = T V where T is kinetic energy and V is gravitational potential energy. For a planet of mass m in orbit around a star of mass M moving at speed v at some distance r, derive an expression for the uncertainty on L as a function these variables. their uncertainties, and any constants (assume (3 is known perfectly). Assume that errors on these quantities are uncorrelated. You may use pencil and paper for this problem. or show your derivation in LaTeX

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