Integrals and symmetries: the Bernoulli-Laplace-Lenz vector
K. H. Mariwalla · Journal of Physics A Mathematical and General · 1982
The notions of 'independent constants of motion' are clarified emphasising the role of precise definition of the background space. Using a well defined algorithm that relates symmetries of equations of motion of a classical system (Newtonian, Lagrangian or Hamiltonian) to a conserved object in one-to-one fashion, the symmetries of the Coulomb and linear force problems are determined.