Photo by scottwebb from unsplash
We answered an old question: does there exist a mechanical system with 3 degrees of freedom, except for the Coulomb system, which has 6 first integrals generating the Lie algebra… Click to show full abstract
We answered an old question: does there exist a mechanical system with 3 degrees of freedom, except for the Coulomb system, which has 6 first integrals generating the Lie algebra (4) by means of the Poisson brackets? A system which is not centrally symmetric, but has 6 first integrals generating Lie algebra (4), is presented. It is shown also that not every mechanical system with 3 degrees of freedom has first integrals generating (4).
Keywords:
system;
integrals generating;
first integrals;
mechanical systems;
degrees freedom;
symmetry mechanical
Journal Title: Journal of Nonlinear Mathematical Physics
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!
Journal Title: Journal of Nonlinear Mathematical Physics
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!