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

2025/11/11 by Saeid Tafazzol, Ehsan Taheri, Tafazzol, Saeid +1
Engineering · Mathematics · #Advanced Optimization Algorithms Research #FOS: Electrical engineering #Space Satellite Systems and Control #Spacecraft Dynamics and Control #Systems and Control (eess.SY) #electronic engineering #information engineering

paper · pdf · doi:10.48550/arxiv.2511.08837

openalex publication_date 2025/11/11 · openalex created_date 2025/11/14 · openalex updated_date 2026/07/28

Abstract

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.

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