8 citations · 8 across the 1 of their papers we have counts for
6 papers
Positive elliptic-elliptic rotopulsators on Clifford tori of nonconstant size project onto regular polygons
Pieter Tibboel
Let ,..., be the position vectors of the point masses of the curved -body problem. Consider any positive elliptic-elliptic rotopulsator solution $q_{i}^{T}=(r\cos{…
Equal masses results for choreographies -body problems
Pieter Tibboel
We prove that equally spaced choreography solutions of a large class of -body problems including the classical -body problem and a subset of quasi-homogeneous -body proble…
Circular non-collision orbits for a large class of n-body problems
Pieter Tibboel
We prove for a large class of n-body problems including a subclass of quasihomogeneous n-body problems, the classical n-body problem, the n-body problem in spaces of negative const…
Finiteness of polygonal relative equilibria for generalised quasi-homogeneous -body problems and -body problems in spaces of constant curvature
Pieter Tibboel
We prove for generalisations of quasi-homogeneous -body problems with center of mass zero and -body problems in spaces of negative constant Gaussian curvature that if the mas…
Existence of a lower bound for the distance between point masses of relative equilibria for generalised quasi-homogeneous -body problems and the curved -body problem
Pieter Tibboel
We prove that if for relative equilibrium solutions of a generalisation of quasi-homogeneous -body problems the masses and rotation are given, then the minimum distance between…
Existence of a class of rotopulsators
Pieter Tibboel
We prove the existence of a class of rotopulsators for the n-body problem in spaces of constant curvature of dimension k>=2.