A novel conjunction filter based on the minimum distance between perturbed trajectories

Fuente: arXiv
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Autores principales: Rivero, Ana S., Baù, Giulio, Vazquez, Rafael, Bombardelli, Claudio
Formato: Preprint
Publicado: 2024
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author Rivero, Ana S.
Baù, Giulio
Vazquez, Rafael
Bombardelli, Claudio
author_facet Rivero, Ana S.
Baù, Giulio
Vazquez, Rafael
Bombardelli, Claudio
contents The increasing congestion in the near-Earth space environment has amplified the need for robust and efficient conjunction analysis techniques including the computation of the minimum distance between orbital paths in the presence of perturbations. After showing that classical Minimum Orbit Intersection Distance (MOID) computation schemes are unsuitable to treat Earth orbiting objects, the article presents an analytical approach to provide a more accurate estimate of the true distance between perturbed trajectories by incorporating the effect of zonal harmonics of arbitrary order. Cook's linear secular theory for the motion of the eccentricity vector is extended to include higher order eccentricity effects and applied to the computation of the minimum and maximum radii attained by two orbits at their mutual nodes, which can be employed to estimate the true distance between the two orbital paths and to establish an efficient algorithm for determining or excluding potential conjunctions. Extensive testing and validation are conducted using a high-fidelity propagator and a comprehensive dataset of resident space objects. The results demonstrate an accuracy below the km level for the orbit distance computation in 99\% of cases, which enables high-efficiency conjunction filtering.
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id arxiv_https___arxiv_org_abs_2410_20928
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle A novel conjunction filter based on the minimum distance between perturbed trajectories
Rivero, Ana S.
Baù, Giulio
Vazquez, Rafael
Bombardelli, Claudio
Earth and Planetary Astrophysics
Instrumentation and Methods for Astrophysics
The increasing congestion in the near-Earth space environment has amplified the need for robust and efficient conjunction analysis techniques including the computation of the minimum distance between orbital paths in the presence of perturbations. After showing that classical Minimum Orbit Intersection Distance (MOID) computation schemes are unsuitable to treat Earth orbiting objects, the article presents an analytical approach to provide a more accurate estimate of the true distance between perturbed trajectories by incorporating the effect of zonal harmonics of arbitrary order. Cook's linear secular theory for the motion of the eccentricity vector is extended to include higher order eccentricity effects and applied to the computation of the minimum and maximum radii attained by two orbits at their mutual nodes, which can be employed to estimate the true distance between the two orbital paths and to establish an efficient algorithm for determining or excluding potential conjunctions. Extensive testing and validation are conducted using a high-fidelity propagator and a comprehensive dataset of resident space objects. The results demonstrate an accuracy below the km level for the orbit distance computation in 99\% of cases, which enables high-efficiency conjunction filtering.
title A novel conjunction filter based on the minimum distance between perturbed trajectories
topic Earth and Planetary Astrophysics
Instrumentation and Methods for Astrophysics
url https://arxiv.org/abs/2410.20928