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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...

    Roberto Castelli, Marcio Gameiro in Archive for Rational Mechanics and Analysis (2018)

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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...

    Elena Fantino, Roberto Castelli in Celestial Mechanics and Dynamical Astronomy (2017)

  3. Article

    Open Access

    Topologically Distinct Collision-Free Periodic Solutions for the \({N}\) -Center Problem

    This work concerns the planar \({N}\) N ...

    Roberto Castelli in Archive for Rational Mechanics and Analysis (2017)

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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...

    Elena Fantino, Roberto Castelli in Astrodynamics Network AstroNet-II (2016)

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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...

    Roberto Castelli, Fernanda Irrera, Carlo G. Someda in Optical and Quantum Electronics (1989)