Collision monitoring and optimal collision avoidance manoeuvre for formation flying satellites

Collision monitoring and optimal collision avoidance manoeuvre for formation flying satellites Purpose – The purpose of this paper is to evaluate the safety of formation flying satellites, and propose a method for practical collision monitoring and collision avoidance manoeuvre. Design/methodology/approach – A general formation description method based on relative orbital elements is proposed, and a collision probability calculation model is established. The formula for the minimum relative distance in the crosstrack plane is derived, and the influence of J2 perturbation on formation safety is analyzed. Subsequently, the optimal collision avoidance manoeuvre problem is solved using the framework of linear programming algorithms. Findings – The relative orbital elements are illustrative of formation description and are easy to use for perturbation analysis. The relative initial phase angle between the in‐plane and cross‐track plane motions has considerable effect on the formation safety. Simulations confirm the flexibility and effectiveness of the linear programming‐based collision avoidance manoeuvre method. Practical implications – The proposed collision probability method can be applied in collision monitoring for the proximity operations of spacecraft. The presented minimum distance calculation formula in the cross‐track plane can be used in safe configuration design. Additionally, the linear programming method is suitable for formation control, in which the initial and terminal states are provided. Originality/value – The relative orbital elements are used to calculate collision probability and analyze formation safety. The linear programming algorithms are extended for collision avoidance, an approach that is simple, effective, and more suitable for on‐board implementation. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Aircraft Engineering and Aerospace Technology Emerald Publishing

Collision monitoring and optimal collision avoidance manoeuvre for formation flying satellites

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Publisher
Emerald Publishing
Copyright
Copyright © 2012 Emerald Group Publishing Limited. All rights reserved.
ISSN
0002-2667
DOI
10.1108/00022661211272963
Publisher site
See Article on Publisher Site

Abstract

Purpose – The purpose of this paper is to evaluate the safety of formation flying satellites, and propose a method for practical collision monitoring and collision avoidance manoeuvre. Design/methodology/approach – A general formation description method based on relative orbital elements is proposed, and a collision probability calculation model is established. The formula for the minimum relative distance in the crosstrack plane is derived, and the influence of J2 perturbation on formation safety is analyzed. Subsequently, the optimal collision avoidance manoeuvre problem is solved using the framework of linear programming algorithms. Findings – The relative orbital elements are illustrative of formation description and are easy to use for perturbation analysis. The relative initial phase angle between the in‐plane and cross‐track plane motions has considerable effect on the formation safety. Simulations confirm the flexibility and effectiveness of the linear programming‐based collision avoidance manoeuvre method. Practical implications – The proposed collision probability method can be applied in collision monitoring for the proximity operations of spacecraft. The presented minimum distance calculation formula in the cross‐track plane can be used in safe configuration design. Additionally, the linear programming method is suitable for formation control, in which the initial and terminal states are provided. Originality/value – The relative orbital elements are used to calculate collision probability and analyze formation safety. The linear programming algorithms are extended for collision avoidance, an approach that is simple, effective, and more suitable for on‐board implementation.

Journal

Aircraft Engineering and Aerospace TechnologyEmerald Publishing

Published: Oct 12, 2012

Keywords: Artificial satellites; Control systems; Collisions; Programming and algorithm theory; Relative orbital elements; Collision probability; J2 perturbation; Collision monitoring; Linear programming; Collision avoidance manoeuvre

References

  • Collision avoidance control for formation flying satellites
    Hu, M.; Zeng, G.Q.
  • The determination of relative orbit for formation flying subject to J2
    Liu, J.F.; Rong, S.Y.; Cui, N.G.
  • Guidance algorithms for proximity to target spacecraft
    Wu, S.N.; Sun, Z.W.; Radice, G.; Wu, X.D.

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