P. Tibboel

activity

20112022

most citedExistence of a lower bound for the distance between point masses of relative equilibria for generalised quasi-homogeneous

n

-body problems and the curved

n

-body problem

8 citations · 11 across the 13 of their papers we have counts for

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Showing 2020Show all

3 papers · 1 filter

math.CA2020

Classification of positive elliptic-elliptic rotopulsators on Clifford tori

Pieter Tibboel

We prove that positive elliptic-elliptic rotopulsator solutions of the $n$ -body problem in spaces of constant Gaussian curvature that move on Clifford tori of nonconstant size eith…

math.CA2020

Positive elliptic-elliptic rotopulsators on Clifford tori of nonconstant size project onto regular polygons

Pieter Tibboel

Let $q_{1}$ ,..., $q_{n}$ be the position vectors of the point masses of the curved $n$ -body problem. Consider any positive elliptic-elliptic rotopulsator solution $q_{i}^{T}=(r\cos{…

math.CA2020

Equal masses results for choreographies $n$ -body problems

Pieter Tibboel

We prove that equally spaced choreography solutions of a large class of $n$ -body problems including the classical $n$ -body problem and a subset of quasi-homogeneous $n$ -body proble…

Classification of positive elliptic-elliptic rotopulsators on Clifford tori

Positive elliptic-elliptic rotopulsators on Clifford tori of nonconstant size project onto regular polygons

Equal masses results for choreographies n-body problems

Equal masses results for choreographies $n$ -body problems