Angles-only initial relative orbit determination algorithm for non-cooperative spacecraft proximity operations
This research furthers the development of a closed-form solution to the angles-only initial relative orbit determination problem for non-cooperative target close-in proximity operations when the camera offset from the vehicle center-of-mass allows for range observability. In previous work, the solution to this problem had been shown to be non-global optimal in the sense of least square and had only been discussed in the context of Clohessy-Wiltshire. In this paper, the emphasis is placed on developing a more compact and improved solution to the problem by using state augmentation least square method in the context of the Clohessy-Wiltshire and Tschauner-Hempel dynamics, derivation of corresponding error covariance, and performance analysis for typical rendezvous missions. A two-body Monte Carlo simulation system is used to evaluate the performance of the solution. The sensitivity of the solution accuracy to camera offset, observation period, and the number of observations are presented and discussed.
Keywordsinitial relative orbit determination angles-only navigation proximity operations rendezvous
The authors would like to thank Dr. David Geller from Utah State University for his great help in making this work possible. And this work is supported in part by the National Postdoctoral Program for Innovative Talents (No. BX201700304), the Foundation of Science and Technology on Aerospace Flight Dynamics Laboratory (No. 61422100306707).
- Eberle, S., Ohndorf, A., Faller, R. On-orbit servicing mission operations at GSOC. In: Proceedings of the SpaceOps 2010 Conference, 2010: AIAA 2010–1975.Google Scholar
- Barnhart, D., Sullivan, B. Hunter, R., Bruhn, J., Lowler, E., Hoag, L. Phoenix project status 2013. In: Proceedings of the AIAA SPACE 2013 Conference and Exposition, 2013.Google Scholar
- Jagat, A., Sinclair, A. Control of spacecraft relative motion using angles-only navigation. In: Proceedings of the AAS/AIAA Space Flight Machanics Meeting, 2015.Google Scholar
- Newman, B., Lovell, A., Pratt, E. Second order nonlinear initial orbit determination for relative motion using volterra theory. Advances in the Astronautical Sciences, 2014, 152:1253–1272.Google Scholar
- Newman, B., Lovell, A., Pratt, E., Duncan, E. Quadratic hexa-dimensional solution for relative orbit determination. In: Proceedings of the AIAA/AAS Astrodynamics Specialist Conference, 2014.Google Scholar
- Sullivan, J., Koenig, A., D’Amico, S. Improved maneuver-free approach to angles-only navigation for space rendezvous. In: AAS/AIAA Space Flight Mechanics Meeting, 2016.Google Scholar
- Gao, X.-H., Liang, B., Pan, L. and Du, X.-D. Distributed relative navigation of GEO non-cooperative target based on multiple line-of-sight measurements. Journal of Astronautics, 2015, 36(3): 292–299.Google Scholar
- Klein, I., Geller, D. Zero Δ solution to the angles-only range observability problem during orbital proximity operations. Advances in Estimation, Navigation, and Spacecraft Control, 2012, Springer Berlin Heidelberg, 2015: 351–369..Google Scholar
- Kaplan, M. H. Modern spacecraft dynamics and control. New York: John Wiley and Sons, Inc., 1976: 343–370.Google Scholar
- Woffnden, D.C. Angles-only navigation for autonomous orbital rendezvous. Ph.D. Dissertation. Utah State University, 2008.Google Scholar
- Reali, F., Palmerini, G. Estimate problems for satellite clusters. In: Proceedings of the IEEE Aerospace Conference, 2008.Google Scholar