Integrals and symmetries: the Bernoulli-Laplace-Lenz vector
- 1 September 1982
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 15 (9) , L467-L471
- https://doi.org/10.1088/0305-4470/15/9/006
Abstract
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.Keywords
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