A Correction on the Lambert Targeting Problem in the Perturbed Space Environment

Kosari, Amirreza; Abbasali, Ehsan; Bakhtiari, Majid

doi:10.22034/jsst.2024.1510

A Correction on the Lambert Targeting Problem in the Perturbed Space Environment

Document Type : Original Research Paper

Authors

Amirreza Kosari ¹

Ehsan Abbasali ²

Majid bakhtiari ³

¹ Faculty of New Science and Technology, University of Tehran, Tehran, Iran

² School of Aerospace Engineering, College of Interdisciplinary Science and Technologies, University of Tehran, Iran.

³ Assistant Professor, School of Advance Technologies, Iran University of Science and Technology Iran, Tehran, Iran

10.22034/jsst.2024.1510

Abstract

This article introduces a novel correction algorithm designed to enhance the Lambert Targeting Problem (LTP) by addressing space perturbations. The proposed LTP Correction (LTPC) algorithm integrates the traditional LTP with the shooting method and Particle Swarm Optimization (PSO) to improve targeting accuracy. Following an initial solution using the LTP, the LTPC employs five sequential and iterative refinement stages to converge on a more precise result. The LTPC modifies the classical LTP to incorporate space perturbations, with Earth's oblateness being the primary perturbation considered. However, the algorithm is versatile and can be adapted to account for various types of space perturbations, broadening its applicability. The results demonstrate that the delta true anomaly, the difference between the desired arrival true anomaly and the actual arrival true anomaly, achieved by the LTPC is significantly smaller than that of the traditional LTP. This improvement highlights the LTPC's superior targeting accuracy. Notably, the LTPC achieves this enhanced precision without requiring a substantial increase in flight time or total velocity change compared to the classical LTP. This balance of accuracy and efficiency underscores the LTPC's effectiveness as a robust solution for space missions influenced by perturbations, paving the way for more reliable mission planning and execution.

Keywords

Lambert targeting problem correction

Shooting method

PSO optimization

Earth oblateness

Lambert targeting problem (LTP)

Subjects

Space Engineering

Article Title Persian

A correction on the Lambert targeting problem in the perturbed space environment

Authors Persian

امیررضا کوثری ¹

احسان عباسعلی ²

مجید بختیاری ³

¹ دانشکده علوم و فنون نوین، دانشگاه تهران، تهران، ایران

² دانشکده مهندسی هوافضا، دانشکده علوم و فناوری های میان رشته ای، دانشگاه تهران، تهران، ایران

³ استادیار، دانشکده فناوری های نوین، دانشگاه علم و صنعت ایران، تهران ، ایران

Abstract Persian

Keywords Persian

Lambert Targeting Problem Correction (LTPC)

Shooting method

PSO optimization

Earth oblateness

Lambert targeting problem (LTP)

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