For motion in a plane with the Hamiltonian H = |p|n − a r−n, where p is the vector of the momenta conjugate to the Cartesian coordinates, show that there is a constant of the motion D = (p . r) / n − H t.
For motion in a plane with the Hamiltonian H = |p|n − a r−n, where p is the vector of the momenta conjugate to the Cartesian coordinates, show that there is a constant of the motion D = (p . r) / n − H t.
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For motion in a plane with the Hamiltonian
H = |p|n − a r−n,
where p is the vector of the momenta conjugate to the Cartesian coordinates,
show that there is a constant of the motion
D = (p . r) / n − H t.
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