26 citations · 79 across the 20 of their papers we have counts for
20 papers
Constructing Linear Operators Using Classical Perturbation Theory
Miguel Avillez, David Arnas
This work introduces a methodology for generating linear operators that approximately represent nonlinear systems of perturbed ordinary differential equations. This is done through…
Reliable and Repeatable Transit Through Cislunar Space Using the 2:1 Resonant Spatial Orbit Family
Andrew Binder, David Arnas
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 e…
Analytic frozen orbits under the zonal harmonics perturbation from an Earth-like planet
David Arnas
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 pertur…
Analytic frozen and other low eccentric orbits under J2 perturbation
David Arnas
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 celestia…
Analytic transformation from osculating to mean elements under J2 perturbation
David Arnas
This work presents an analytical perturbation method to study the dynamics of an orbiting object subject to the term from the gravitational potential of the main celestial bo…
A Method for Generating Closely Packed Orbital Shells and the Implication on Orbital Capacity
Miles Lifson, David Arnas, Martin Avendaño +1
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 describ…