26 citations · 79 across the 20 of their papers we have counts for
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Solving ordinary differential equations using Schur decomposition
David Arnas
This work introduces a methodology to solve ordinary differential equations using the Schur decomposition of the linear representation of the differential equation. This is done by…
A Koopman Operator Tutorial with Othogonal Polynomials
Simone Servadio, David Arnas, Richard Linares
The Koopman Operator (KO) offers a promising alternative methodology to solve ordinary differential equations analytically. The solution of the dynamical system is analyzed in term…
Dynamics Near the Three-Body Libration Points via Koopman Operator Theory
Simone Servadio, David Arnas, Richard Linares
This paper investigates the application of the Koopman Operator theory to the motion of a satellite about a libration point in the Circular Restricted Three-Body Problem. Recently,…
Non-self-intersecting trajectories and their applications to satellite constellation design and orbital capacity
David Arnas, Richard Linares
This work focuses on the generation of non-self-intersecting relative trajectories, and their applications to satellite constellation design, slotting architectures, and Space Traf…
On the Theory of Uniform Satellite Constellation Reconfiguration
David Arnas, Richard Linares
This work focuses on the study of the reconfiguration strategies available for uniformly distributed satellite constellations and slotting architectures. Particularly, this manuscr…