Incorporating the nonlinearity index into adaptive-mesh sequential convex optimization for minimum-fuel low-thrust trajectory design

Fuente: arXiv
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Autores principales: Tafazzol, Saeid, Taheri, Ehsan
Formato: Preprint
Publicado: 2025
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author Tafazzol, Saeid
Taheri, Ehsan
author_facet Tafazzol, Saeid
Taheri, Ehsan
contents Successive convex programming (SCP) is a powerful class of direct optimization methods, known for its polynomial complexity and computational efficiency, making it particularly suitable for autonomous applications. Direct methods are also referred to as ``discretize-then-optimize'' with discretization being a fundamental solution step. A key step in all practical direct methods is mesh refinement, which aims to refine the solution resolution by enhancing the precision and quality of discretization techniques through strategic distribution and placement of mesh/grid points. We propose a novel method to enhance adaptive mesh refinement stability by integrating it with a nonlinearity-index-based trust-region strategy within the SCP framework for spacecraft trajectory design. The effectiveness of the proposed method is demonstrated through solving minimum-fuel, low-thrust missions, including a benchmark Earth-to-Asteroid rendezvous and an Earth-Moon L2 Halo-to-Halo transfer using the Circular Restricted Three-Body (CR3BP) model.
format Preprint
id arxiv_https___arxiv_org_abs_2511_08837
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Incorporating the nonlinearity index into adaptive-mesh sequential convex optimization for minimum-fuel low-thrust trajectory design
Tafazzol, Saeid
Taheri, Ehsan
Systems and Control
Successive convex programming (SCP) is a powerful class of direct optimization methods, known for its polynomial complexity and computational efficiency, making it particularly suitable for autonomous applications. Direct methods are also referred to as ``discretize-then-optimize'' with discretization being a fundamental solution step. A key step in all practical direct methods is mesh refinement, which aims to refine the solution resolution by enhancing the precision and quality of discretization techniques through strategic distribution and placement of mesh/grid points. We propose a novel method to enhance adaptive mesh refinement stability by integrating it with a nonlinearity-index-based trust-region strategy within the SCP framework for spacecraft trajectory design. The effectiveness of the proposed method is demonstrated through solving minimum-fuel, low-thrust missions, including a benchmark Earth-to-Asteroid rendezvous and an Earth-Moon L2 Halo-to-Halo transfer using the Circular Restricted Three-Body (CR3BP) model.
title Incorporating the nonlinearity index into adaptive-mesh sequential convex optimization for minimum-fuel low-thrust trajectory design
topic Systems and Control
url https://arxiv.org/abs/2511.08837