Global Optimization for Trajectory Design via Invariant Manifolds in the Earth-Moon Circular Restricted Three-Body Problem

Fuente: arXiv
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Autori principali: Tagliaferri, Flavio, Blazquez, Emmanuel, Acciarini, Giacomo, Izzo, Dario
Natura: Preprint
Pubblicazione: 2024
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author Tagliaferri, Flavio
Blazquez, Emmanuel
Acciarini, Giacomo
Izzo, Dario
author_facet Tagliaferri, Flavio
Blazquez, Emmanuel
Acciarini, Giacomo
Izzo, Dario
contents This study addresses optimal impulsive trajectory design within the Circular Restricted Three-Body Problem (CR3BP), presenting a global optimization-based approach to identify minimum $ΔV$ transfers between periodic orbits, including heteroclinic connections. By combining a Monotonic Basin Hopping (MBH) algorithm with a sequential quadratic solver in a parallel optimization framework, a wide range of minimum $ΔV$ transfers are efficiently found. To validate this approach, known connections from the literature are reproduced. Consequently, three-dimensional periodic orbits are explored and a systematic search for minimum propellant trajectories is conducted within a selected interval of Jacobi constants and a maximum time of flight. Analysis of the results reveals the presence of very low $ΔV$ solutions and showcases the algorithm's effectiveness across various mission scenarios.
format Preprint
id arxiv_https___arxiv_org_abs_2405_18916
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Global Optimization for Trajectory Design via Invariant Manifolds in the Earth-Moon Circular Restricted Three-Body Problem
Tagliaferri, Flavio
Blazquez, Emmanuel
Acciarini, Giacomo
Izzo, Dario
Space Physics
Chaotic Dynamics
This study addresses optimal impulsive trajectory design within the Circular Restricted Three-Body Problem (CR3BP), presenting a global optimization-based approach to identify minimum $ΔV$ transfers between periodic orbits, including heteroclinic connections. By combining a Monotonic Basin Hopping (MBH) algorithm with a sequential quadratic solver in a parallel optimization framework, a wide range of minimum $ΔV$ transfers are efficiently found. To validate this approach, known connections from the literature are reproduced. Consequently, three-dimensional periodic orbits are explored and a systematic search for minimum propellant trajectories is conducted within a selected interval of Jacobi constants and a maximum time of flight. Analysis of the results reveals the presence of very low $ΔV$ solutions and showcases the algorithm's effectiveness across various mission scenarios.
title Global Optimization for Trajectory Design via Invariant Manifolds in the Earth-Moon Circular Restricted Three-Body Problem
topic Space Physics
Chaotic Dynamics
url https://arxiv.org/abs/2405.18916