Minimal energy configurations of gravitationally interacting rigid bodies
Sign Up to like & getrecommendations! Published in 2017 at "Celestial Mechanics and Dynamical Astronomy"
DOI: 10.1007/s10569-016-9743-7
Abstract: Consider a collection of n rigid, massive bodies interacting according to their mutual gravitational attraction. A relative equilibrium motion is one where the entire configuration rotates rigidly and uniformly about a fixed axis in $$\mathbb… read more here.
Keywords: motion; rigid bodies; energy; minimal energy ... See more keywords
Spatial Relative Equilibria and Periodic Solutions of the Coulomb $$(n+1)$$-Body Problem
Sign Up to like & getrecommendations! Published in 2021 at "Qualitative Theory of Dynamical Systems"
DOI: 10.1007/s12346-021-00532-3
Abstract: We study a classical model for the atom that considers the movement of n charged particles of charge −1 (electrons) interacting with a fixed nucleus of charge μ > 0. We show that two global… read more here.
Keywords: equilibria periodic; periodic solutions; relative equilibrium; relative equilibria ... See more keywords
A time-dependent energy-momentum method
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Geometry and Physics"
DOI: 10.1016/j.geomphys.2021.104364
Abstract: We devise a generalisation of the energy momentum-method for studying the stability of non-autonomous Hamiltonian systems with a Lie group of Hamiltonian symmetries. A generalisation of the relative equilibrium point notion to a non-autonomous realm… read more here.
Keywords: energy momentum; relative equilibrium; momentum method; non autonomous ... See more keywords