11 citations · 38 across the 15 of their papers we have counts for
17 papers
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…
Bivariate trinomials over finite fields
Martin Avendano, Jorge Martin-Morales
We study the number of points in the family of plane curves defined by a trinomial \[ \mathcal{C}(α,β)= \{(x,y)\in\mathbb{F}_q^2\,:\,αx^{a_{11}}y^{a_{12}}+βx^{a_{21}}y^{a_{22}}=x^{…
Efficient search of optimal Flower Constellations
Martín Avendaño, David Arnas, Richard Linares +1
We derive an analytical closed expression to compute the minimum distance (quantified by the angle of separation measured from the center of the Earth) between any two satellites l…
A structural attack to the DME-(3,2,q) cryptosystem
Martin Avendano, Miguel A. Marco-Buzunariz
We present a structural attack on the DME cryptosystem with paramenters (3,2,q). The attack recovers 10 of the 12 coefficients of the first linear map. We also show that, if those…
An algebraic approach to the minimum-cost multi-impulse orbit transfer problem
Martin Avendano, Verónica Martín-Molina, Jorge Martín-Morales +1
We present a purely algebraic formulation (i.e. polynomial equations only) of the minimum-cost multi-impulse orbit transfer problem without time constraints, while keeping all the…
A new method for obtaining approximate solutions of the hyperbolic Kepler's equation
Martín Avendano, Verónica Martín-Molina, Jorge Ortigas-Galindo
We provide an approximate zero for the hyperbolic Kepler's equation for and . We prove, by using Smale'…