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Chapter and Conference Paper
Hybrid Orbit Propagator Based on Neural Networks. Multivariate Time Series Forecasting Approach
The orbital trajectory of artificial satellites around the Earth requires frequent corrections in response to different perturbation forces. The necessary maneuvers can be designed in simulated space environme...
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Chapter and Conference Paper
Uncertainty Propagation Using Hybrid Methods
Small corrections in the argument of the latitude can be used to improve the accuracy of the SGP4 orbit propagator. These corrections have been obtained by applying the hybrid methodology for orbit propagation...
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Chapter and Conference Paper
Forecasting Satellite Trajectories by Interpolating Hybrid Orbit Propagators
A hybrid orbit propagator based on the analytical integration of the Kepler problem is designed to determine the future position and velocity of any orbiter, usually an artificial satellite or space debris fragme...
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Chapter and Conference Paper
Hybrid Analytical-Statistical Models
To carry out new families of hybrid analytical orbit propagator programs a new methodology is presented. These families combine a simplified analytical orbit propagator with statistical time series models. In ...
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Chapter and Conference Paper
MathATESAT: A Symbolic-Numeric Environment in Astrodynamics and Celestial Mechanics
The increase in the facilities of the general computer algebra system, in particular Mathematica, and hardware evolution have supplied us with the possibility of develo** a new environment called MathATESAT. Ou...
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Article
A note on lower bounds for relative equilibria in the main problem of artificial satellite theory
In the analytical approach to the main problem in satellite theory, the consideration of the physical parameters imposes a lower bound for normalized Hamiltonian. We show that there is no elliptic frozen orbit...
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Chapter and Conference Paper
Symbolic Solution of Kepler’s Generalized Equation
Kepler’s generalized equation is a transcendental nonlinear equation that must be solved in order to compute the position and velocity of an artificial satellite at any instant t. In this paper, we propose a meth...
