26 citations · 79 across the 20 of their papers we have counts for
9 papers · 1 filter
Approximate Analytical Solution to the Zonal Harmonics Problem Using Koopman Operator Theory
David Arnas, Richard Linares
This work introduces the use of the Koopman operator theory to generate approximate analytical solutions for the zonal harmonics problem of a satellite orbiting a non-spherical cel…
A set of orbital elements to fully represent the zonal harmonics around an oblate celestial body
David Arnas, Richard Linares
This work introduces a new set of orbital elements to fully represent the zonal harmonics problem around an oblate celestial body. This new set of orbital elements allows to obtain…
Bijective Mapping Analysis to Extend the Theory of Functional Connections to Non-rectangular 2-dimensional Domains
Daniele Mortari, David Anas
This work presents an initial analysis of using bijective mappings to extend the Theory of Functional Connections to non-rectangular two-dimensional domains. Specifically, this man…
Nonlinear Function Inversion using k-vector
David Arnas, Daniele Mortari
This work introduces a general numerical technique to invert one dimensional analytic or tabulated nonlinear functions in assigned ranges of interest. The proposed approach is base…
Random Sampling using k-vector
David Arnas, Carl Leake, Daniele Mortari
This work introduces two new techniques for random number generation with any prescribed nonlinear distribution based on the k-vector methodology. The first approach is based on in…
The n-dimensional k-vector and its application to orthogonal range searching
David Arnas, Carl Leake, Daniele Mortari
This work focuses on the definition and study of the n-dimensional k-vector, an algorithm devised to perform orthogonal range searching in static databases with multiple dimensions…