A Convex Formulation of the Soft-Capture Problem

Fuente: arXiv
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Autores principales: Sow, Ibrahima Sory, Gutow, Geordan, Choset, Howie, Manchester, Zachary
Formato: Preprint
Publicado: 2024
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author Sow, Ibrahima Sory
Gutow, Geordan
Choset, Howie
Manchester, Zachary
author_facet Sow, Ibrahima Sory
Gutow, Geordan
Choset, Howie
Manchester, Zachary
contents We present a fast trajectory optimization algorithm for the soft capture of uncooperative tumbling space objects. Our algorithm generates safe, dynamically feasible, and minimum-fuel trajectories for a six-degree-of-freedom servicing spacecraft to achieve soft capture (near-zero relative velocity at contact) between predefined locations on the servicer spacecraft and target body. We solve a convex problem by enforcing a convex relaxation of the field-of-view constraint, followed by a sequential convex program correcting the trajectory for collision avoidance. The optimization problems can be solved with a standard second-order cone programming solver, making the algorithm both fast and practical for implementation in flight software. We demonstrate the performance and robustness of our algorithm in simulation over a range of object tumble rates up to 10°/s.
format Preprint
id arxiv_https___arxiv_org_abs_2405_00867
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle A Convex Formulation of the Soft-Capture Problem
Sow, Ibrahima Sory
Gutow, Geordan
Choset, Howie
Manchester, Zachary
Robotics
Systems and Control
Optimization and Control
We present a fast trajectory optimization algorithm for the soft capture of uncooperative tumbling space objects. Our algorithm generates safe, dynamically feasible, and minimum-fuel trajectories for a six-degree-of-freedom servicing spacecraft to achieve soft capture (near-zero relative velocity at contact) between predefined locations on the servicer spacecraft and target body. We solve a convex problem by enforcing a convex relaxation of the field-of-view constraint, followed by a sequential convex program correcting the trajectory for collision avoidance. The optimization problems can be solved with a standard second-order cone programming solver, making the algorithm both fast and practical for implementation in flight software. We demonstrate the performance and robustness of our algorithm in simulation over a range of object tumble rates up to 10°/s.
title A Convex Formulation of the Soft-Capture Problem
topic Robotics
Systems and Control
Optimization and Control
url https://arxiv.org/abs/2405.00867