Bio-Inspired Rendezvous Strategies and Respondent Detections

In nature, many biological species have devised simple yet effective motion strategies that help them with a variety of tasks, such as foraging and mating. One such phenomenon has been observed in hoverflies, in which a male hoverfly moves in a certain path and appears stationary from the viewpoint of a moving female hoverfly. The use of this new bio-inspired strategy has recently been considered for rendezvous tasks in space situation-awareness missions. In this paper, the feasibilities of applying such a rendezvous strategy to free-flying (i.e., zero applied control acceleration) space vehicles and the respondent detections of such motion strategies to prevent orbital collisions are investigated in the local vertical and local horizontal frame. Algorithms for nontrivial free-flying scenarios are derived for both fixed and free-flying spacecraft. The extended Kalman filter is designed to demonstrate the ability to detect and monitor these types of rendezvous motions.

[1]  Anil V. Rao,et al.  Optimal Reconfiguration of Spacecraft Formations Using the Gauss Pseudospectral Method , 2008 .

[2]  Keisuke Yoshihara,et al.  Differential Drag as a Means of Spacecraft Formation Control , 2011, IEEE Transactions on Aerospace and Electronic Systems.

[3]  M Mischiati,et al.  Motion camouflage for coverage , 2010, Proceedings of the 2010 American Control Conference.

[4]  Yunjun Xu,et al.  Analytical neighboring optimal guidance to finite horizon linear quadratic tracking problems , 2010, 49th IEEE Conference on Decision and Control (CDC).

[5]  Paul Cefola,et al.  Global Space Situational Awareness Sensors , 2010 .

[6]  Yunjun Xu,et al.  Pre and Post Optimality Checking of the Virtual Motion Camouflage based Nonlinear Constrained Subspace Optimal Control , 2009 .

[7]  Yunjun Xu,et al.  Real-Time Optimal Coherent Phantom Track Generation via the Virtual Motion Camouflage Approach , 2011 .

[8]  Yunjun Xu,et al.  Virtual motion camouflage based phantom track generation through cooperative electronic combat air vehicles , 2010, Proceedings of the 2010 American Control Conference.

[9]  Tao Yang,et al.  A new strategy of counterattacking anti-satellite based on motion camouflage , 2010 .

[10]  M. Srinivasan,et al.  Strategies for active camouflage of motion , 1995, Proceedings of the Royal Society of London. Series B: Biological Sciences.

[11]  N.E. Carey,et al.  Biologically inspired guidance for motion camouflage , 2004, 2004 5th Asian Control Conference (IEEE Cat. No.04EX904).

[12]  Peter William McOwan,et al.  Model of a predatory stealth behaviour camouflaging motion. , 2003, Proceedings. Biological sciences.

[13]  Yun-Hong Xu.  Virtual Motion Camouflage and Suboptimal Trajectory Design , 2007 .

[14]  P.V. Reddy,et al.  Motion camouflage in three dimensions , 2006, Proceedings of the 45th IEEE Conference on Decision and Control.

[15]  Jonathan P. How,et al.  Safe Trajectories for Autonomous Rendezvous of Spacecraft , 2006 .

[16]  David K. Geller,et al.  Navigating the Road to Autonomous Orbital Rendezvous , 2007 .

[17]  Zdzislaw Jackiewicz,et al.  Stability of Gauss–Radau Pseudospectral Approximations of the One-Dimensional Wave Equation , 2003, J. Sci. Comput..

[18]  I. Michael Ross,et al.  Costate Estimation by a Legendre Pseudospectral Method , 1998 .

[19]  John L. Junkins,et al.  Spacecraft Formation Flying Control using Mean Orbit Elements , 2000 .

[20]  Paul Glendinning,et al.  The mathematics of motion camouflage , 2004, Proceedings of the Royal Society of London. Series B: Biological Sciences.