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a particle of mass m moves in three dimension under the action of central conservative force...

a particle of mass m moves in three dimension under the action of central conservative force with potential energy v(r).find the Hamiltonian function in term of spherical polar cordinates ,and show φ,but not θ ,is ignorable .Express the quantity

J2=((dθ/dt)2 +sin2 θ(dφ /dt)2) in terms of generalized momenta ,and show that it is a second constant of of the motion

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