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Symmetries in the two-body problem associated to quasihomogeneous potentials

Domenii publicaţii > Matematica + Tipuri publicaţii > Articol în revistã ştiinţificã

Autori: Vasile Mioc

Editorial: Elsevier, Physics Letters A, 301, p.429-432, 2002.

Rezumat:

The dynamics in quasihomogeneous fields (characterized by sums of homogeneous potentials) models a lot of concrete physical and astronomical situations. The two-body problem in Cartesian and standard polar coordinates, as well as in regularizing McGehee-type coordinates of both collision-blow-up kind and infinity-blow-up kind, is being tackled. The corresponding vector fields present symmetries that form isomorphic Abelian groups endowed with an idempotent structure.

Cuvinte cheie: Quasihomogeneous potentials, Regularization, Symmetries