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I was wondering about the following:

For many simple systems it is far too cumbersome to solve the Hamilton Jacobi equation compared with the Hamilton or Lagrange formalism. Now I was wondering, whether it is possible to find the solution to the Hamilton Jacobi equation, if I know the full solution via the Lagrange or Hamilton approach. Hence, my question is: Is the fact that I already know the solution of the mechanical system of any help, if I want to do the problem via the Hamilton Jacobi way?

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