3 papers
math.DS2021
Critical points at infinity in charged N-body systems
I. Hoveijn, H. Waalkens, M. Zaman
We define the notion of critical points at infinity for the charged N-body problem, following the approach of Albouy 1993. We give a characterisation of such points and show how th…
math.DS2021
Hill regions of charged three-body systems
Igor Hoveijn, Holger Waalkens, Mohammad Zaman
For charged three-body systems, we discuss the configurations and orientations that are admissible for given values of the conserved total energy and angular momentum. The admissib…
math.DS2018
Critical points of the integral map of the charged 3-body problem
I. Hoveijn, H. Waalkens, M. Zaman
This is the first in a series of three papers where we study the integral manifolds of the charged three-body problem. The integral manifolds are the fibers of the map of integrals…