A Dual Quaternion based RRT* Path Planning Approach for Satellite Rendezvous and Docking

Fuente: arXiv
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Bibliographic Details
Main Authors: Stankovic, Ana, Ben-Larbi, Mohamed Khalil, Müller, Wolfgang H.
Format: Preprint
Published: 2025
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author Stankovic, Ana
Ben-Larbi, Mohamed Khalil
Müller, Wolfgang H.
author_facet Stankovic, Ana
Ben-Larbi, Mohamed Khalil
Müller, Wolfgang H.
contents This paper proposes a sampling-based motion planner that employs a dual quaternion representation to generate smooth, collision-free six-degree-of-freedom pose trajectories for satellite rendezvous and docking under keep-out zone constraints. The proposed planner integrates the dual quaternion algebra directly into an RRT* framework, thereby enabling natural screw motion interpolation in SE(3). The dual quaternion-based RRT* has been implemented in Python and demonstrated on a representative multi-obstacle scenario. A comparison with a standard RRT* using separate translation and quaternion steering highlights the enhanced pose continuity and obstacle avoidance of the proposed method. The present approach is purely kinematic in nature and does not take into account relative orbital dynamics. Consequently, the resulting path provides a preliminary estimate for a subsequent optimisation-based trajectory planner, which will refine the motion with dynamic constraints for the purpose of practical satellite rendezvous and docking missions.
format Preprint
id arxiv_https___arxiv_org_abs_2512_17680
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A Dual Quaternion based RRT* Path Planning Approach for Satellite Rendezvous and Docking
Stankovic, Ana
Ben-Larbi, Mohamed Khalil
Müller, Wolfgang H.
Robotics
This paper proposes a sampling-based motion planner that employs a dual quaternion representation to generate smooth, collision-free six-degree-of-freedom pose trajectories for satellite rendezvous and docking under keep-out zone constraints. The proposed planner integrates the dual quaternion algebra directly into an RRT* framework, thereby enabling natural screw motion interpolation in SE(3). The dual quaternion-based RRT* has been implemented in Python and demonstrated on a representative multi-obstacle scenario. A comparison with a standard RRT* using separate translation and quaternion steering highlights the enhanced pose continuity and obstacle avoidance of the proposed method. The present approach is purely kinematic in nature and does not take into account relative orbital dynamics. Consequently, the resulting path provides a preliminary estimate for a subsequent optimisation-based trajectory planner, which will refine the motion with dynamic constraints for the purpose of practical satellite rendezvous and docking missions.
title A Dual Quaternion based RRT* Path Planning Approach for Satellite Rendezvous and Docking
topic Robotics
url https://arxiv.org/abs/2512.17680