Open Access

ARTICLE

An Adaptive Parallel Feedback-Accelerated Picard Iteration Method for Simulating Orbit Propagation

Changtao Wang, Honghua Dai^*, Wenchuan Yang

School of Astronautics, Northwestern Polytechnical University, Xi’an, 710072, China

* Corresponding Author: Honghua Dai. Email:

(This article belongs to the Special Issue: Advances in Methods of Computational Modeling in Engineering Sciences, a Special Issue in Memory of Professor Satya Atluri)

Digital Engineering and Digital Twin 2023, 1, 3-13. https://doi.org/10.32604/dedt.2023.044210

Received 24 July 2023; Accepted 10 November 2023; Issue published 28 December 2023

Abstract

A novel Adaptive Parallel Feedback-Accelerated Picard Iteration (AP-FAPI) method is proposed to meet the requirements of various aerospace missions for fast and accurate orbit propagation. The Parallel Feedback-Accelerated Picard Iteration (P-FAPI) method is an advanced iterative collocation method. With large-step computing and parallel acceleration, the P-FAPI method outperforms the traditional finite-difference-based methods, which require small-step and serial integration to ensure accuracy. Although efficient and accurate, the P-FAPI method suffers extensive trials in tuning method parameters, strongly influencing its performance. To overcome this problem, we propose the AP-FAPI method based on the relationship between the parameters and the convergence speed leveraging parallel technology. The proposed method ensures the best possible efficiency in prescribed accuracy. Three typical orbit propagation problems are illustrated to validate the high performance of the proposed method. Numerical simulations show that the AP-FAPI method is more accurate and efficient than the finite-difference-based and the P-FAPI methods.

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Keywords

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