417 citations · 1.6k across the 72 of their papers we have counts for
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The Harmonic Lagrange Top and the Confluent Heun Equation
Sean R. Dawson, Holger R. Dullin, Diana M. H. Nguyen
The harmonic Lagrange top is the Lagrange top plus a quadratic (harmonic) potential term. We describe the top in the space fixed frame using a global description with a Poisson str…
Self-stabilization of light sails by damped internal degrees of freedom
M. Z. Rafat, Holger R. Dullin, Boris T. Kuhlmey +7
We consider the motion of a light sail that is accelerated by a powerful laser beam. We derive the equations of motion for two proof-of-concept sail designs with damped internal de…
On the -Regularisation of Simultaneous Binary Collisions in the Planar 4-Body Problem
Nathan Duignan, Holger R. Dullin
The dynamics of the 4-body problem allows for two binary collisions to occur simultaneously. It is known that in the collinear 4-body problem this simultaneous binary collision (SB…
An Evans function for the linearised 2D Euler equations using Hill's determinant
Holger R. Dullin, Robert Marangell
We study the point spectrum of the linearisation of Euler's equation for the ideal fluid on the torus about a shear flow. By separation of variables the problem is reduced to the s…