Zobrazeno 1 - 10
of 89
pro vyhledávání: '"Arnas, David"'
Autor:
Avillez, Miguel, Arnas, David
This work introduces a methodology for generating linear operators that approximately represent nonlinear systems of perturbed ordinary differential equations. This is done through the application of classical perturbation theory via the Lindstedt-Po
Externí odkaz:
http://arxiv.org/abs/2409.14246
Autor:
Binder, Andrew, Arnas, David
This work focuses on the identification of reliable and repeatable spatial (three-dimensional) trajectories that link the Earth and the Moon. For this purpose, this paper aims to extend the 2:1 resonant prograde family and 2:1 resonant retrograde fam
Externí odkaz:
http://arxiv.org/abs/2304.13584
Autor:
Arnas, David
This work focuses on providing closed form analytical expressions to define frozen orbits under the effects of the zonal harmonics of an Earth-like planet. Particularly, the perturbation effects from the terms J2, J3, J4, J5, J6, and J7 are considere
Externí odkaz:
http://arxiv.org/abs/2212.11458
Autor:
Arnas, David
This work presents an analytical perturbation method to define and study the dynamics of frozen orbits under the perturbation effects produced by the oblatness of the main celestial body. This is done using a perturbation method purely based on oscul
Externí odkaz:
http://arxiv.org/abs/2212.09958
Autor:
Arnas, David
This work presents an analytical perturbation method to study the dynamics of an orbiting object subject to the term $J_2$ from the gravitational potential of the main celestial body. This is done using a power series expansion in the perturbation co
Externí odkaz:
http://arxiv.org/abs/2212.08746
Shell-wise orbital slotting in Low Earth Orbit (LEO) can improve space safety, simplify space traffic coordination and management, and optimize orbital capacity. This paper describes two methods to generate 2D Lattice Flower Constellations (2D-LFCs)
Externí odkaz:
http://arxiv.org/abs/2203.13354
The Koopman Operator (KO) offers a promising alternative methodology to solve ordinary differential equations analytically. The solution of the dynamical system is analyzed in terms of observables, which are expressed as a linear combination of the e
Externí odkaz:
http://arxiv.org/abs/2111.07485
Autor:
Arnas, David
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 first transforming the system into an upper triangular system using t
Externí odkaz:
http://arxiv.org/abs/2110.13387
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, the Koopman Operator has emerged as a promising alternative to the ge
Externí odkaz:
http://arxiv.org/abs/2110.12119
Autor:
Arnas, David, Linares, Richard
This work focuses on the generation of non-self-intersecting relative trajectories, and their applications to satellite constellation design, slotting architectures, and Space Traffic Management. To that end, this paper introduces two theorems to det
Externí odkaz:
http://arxiv.org/abs/2110.07823