Infinitesimal time reparametrisation and its applications
arXiv:2202.09581 · doi:10.1007/s44198-022-00037-w
Abstract
A geometric approach to Sundman infinitesimal time-reparametrisation is given and some of its applications are used to illustrate the general theory. Special emphasis is put on geodesic motions and systems described by mechanical type Lagrangians. The Jacobi metric appears as a particular case of a Sundman transformation.
To appear in Journal of Nonlinear Mathematical Physics
References in corpus (3)
- Generalized Stäckel Transform and Reciprocal Transformations for Finite-Dimensional Integrable Systems
- Tangent bundle geometry from dynamics: application to the Kepler problem
- Superintegrability of 3-dimensional Hamiltonian systems with conformally Euclidean metrics. Oscillator-related and Kepler-related systems