Optimal Control and Neural Porkchop Analysis for Low-Thrust Asteroid Rendezvous Mission

Fuente: arXiv
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Main Authors: Zhang, Zhong, Michelotti, Niccolò, Pinho, Gonçalo Oliveira, Zou, Yilin, Topputo, Francesco
Format: Preprint
Published: 2025
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author Zhang, Zhong
Michelotti, Niccolò
Pinho, Gonçalo Oliveira
Zou, Yilin
Topputo, Francesco
author_facet Zhang, Zhong
Michelotti, Niccolò
Pinho, Gonçalo Oliveira
Zou, Yilin
Topputo, Francesco
contents This paper presents a comparative study of the applicability and accuracy of optimal control methods and neural network-based estimators in the context of porkchop plots for preliminary asteroid rendezvous mission design. The scenario considered involves a deep-space CubeSat equipped with a low-thrust engine, departing from Earth and rendezvousing with a near-Earth asteroid within a three-year launch window. A low-thrust trajectory optimization model is formulated, incorporating variable specific impulse, maximum thrust, and path constraints. The optimal control problem is efficiently solved using Sequential Convex Programming (SCP) combined with a solution continuation strategy. The neural network framework consists of two models: one predicts the minimum fuel consumption ($Δv$), while the other estimates the minimum flight time ($Δt$) which is used to assess transfer feasibility. Case results demonstrate that, in simplified scenarios without path constraints, the neural network approach achieves low relative errors across most of the design space and successfully captures the main structural features of the porkchop plots. In cases where the SCP-based continuation method fails due to the presence of multiple local optima, the neural network still provides smooth and globally consistent predictions, significantly improving the efficiency of early-stage asteroid candidate screening. However, the deformation of the feasible region caused by path constraints leads to noticeable discrepancies in certain boundary regions, thereby limiting the applicability of the network in detailed mission design phases. Overall, the integration of neural networks with porkchop plot analysis offers an effective decision-making tool for mission designers and planetary scientists, with significant potential for engineering applications.
format Preprint
id arxiv_https___arxiv_org_abs_2508_02920
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Optimal Control and Neural Porkchop Analysis for Low-Thrust Asteroid Rendezvous Mission
Zhang, Zhong
Michelotti, Niccolò
Pinho, Gonçalo Oliveira
Zou, Yilin
Topputo, Francesco
Optimization and Control
Systems and Control
This paper presents a comparative study of the applicability and accuracy of optimal control methods and neural network-based estimators in the context of porkchop plots for preliminary asteroid rendezvous mission design. The scenario considered involves a deep-space CubeSat equipped with a low-thrust engine, departing from Earth and rendezvousing with a near-Earth asteroid within a three-year launch window. A low-thrust trajectory optimization model is formulated, incorporating variable specific impulse, maximum thrust, and path constraints. The optimal control problem is efficiently solved using Sequential Convex Programming (SCP) combined with a solution continuation strategy. The neural network framework consists of two models: one predicts the minimum fuel consumption ($Δv$), while the other estimates the minimum flight time ($Δt$) which is used to assess transfer feasibility. Case results demonstrate that, in simplified scenarios without path constraints, the neural network approach achieves low relative errors across most of the design space and successfully captures the main structural features of the porkchop plots. In cases where the SCP-based continuation method fails due to the presence of multiple local optima, the neural network still provides smooth and globally consistent predictions, significantly improving the efficiency of early-stage asteroid candidate screening. However, the deformation of the feasible region caused by path constraints leads to noticeable discrepancies in certain boundary regions, thereby limiting the applicability of the network in detailed mission design phases. Overall, the integration of neural networks with porkchop plot analysis offers an effective decision-making tool for mission designers and planetary scientists, with significant potential for engineering applications.
title Optimal Control and Neural Porkchop Analysis for Low-Thrust Asteroid Rendezvous Mission
topic Optimization and Control
Systems and Control
url https://arxiv.org/abs/2508.02920