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Article
Rigorous Numerics for ill-posed PDEs: Periodic Orbits in the Boussinesq Equation
In this paper, we develop computer-assisted techniques for the analysis of periodic orbits of ill-posed partial differential equations. As a case study, our proposed method is applied to the Boussinesq equatio...
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Article
Efficient design of direct low-energy transfers in multi-moon systems
In this contribution, an efficient technique to design direct (i.e., without intermediate flybys) low-energy trajectories in multi-moon systems is presented. The method relies on analytical two-body approximat...
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Article
Open AccessTopologically Distinct Collision-Free Periodic Solutions for the \({N}\) -Center Problem
This work concerns the planar \({N}\) N ...
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Chapter and Conference Paper
Two-Body Approximations in the Design of Low-Energy Transfers Between Galilean Moons
Over the past two decades, the robotic exploration of the Solar System has reached the moons of the giant planets. In the case of Jupiter, a strong scientific interest towards its icy moons has motivated impor...
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Article
Circularly birefringent optical fibres: new proposals
A new family of azimuthally inhomogeneous fibres is proposed and analysed theoretically. In contrast with previous similar structures, in these fibres one can find exact analytical expressions for the guided f...