## Error-space estimation method and simplified algorithm for space target tracking

Applied Optics, Vol. 49, Issue 28, pp. 5384-5390 (2010)

http://dx.doi.org/10.1364/AO.49.005384

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### Abstract

To improve space target tracking precision and the stability of mobile optoelectronic tracking equipment, an error-space estimation method based on the Kalman filter is discussed, and a simplified algorithm is presented to reduce calculation cost. Based on an available measurement of a space target without sufficient validity and accuracy, the actual position related to the tracking equipment is decomposed to an earlier offline prediction of the kinetic model method and prediction errors. By regarding prediction errors as the motion of a weak maneuver target, the errors can be estimated more accurately in error space. By synthesizing estimation of the errors and offline prediction, the space target position is obtained with higher accuracy to improve tracking performance.

© 2010 Optical Society of America

**OCIS Codes**

(120.4640) Instrumentation, measurement, and metrology : Optical instruments

(230.2090) Optical devices : Electro-optical devices

(350.4600) Other areas of optics : Optical engineering

(100.4999) Image processing : Pattern recognition, target tracking

(150.5758) Machine vision : Robotic and machine control

**ToC Category:**

Optical Devices

**History**

Original Manuscript: April 19, 2010

Revised Manuscript: August 1, 2010

Manuscript Accepted: August 20, 2010

Published: September 27, 2010

**Citation**

Ming Cen and Daisheng Luo, "Error-space estimation method and simplified algorithm for space target tracking," Appl. Opt. **49**, 5384-5390 (2010)

http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-49-28-5384

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### References

- T. Ichikawa, “An orbit estimation for the space-craft at closest approach phase to the planet,” in Proceedings of the SICE 2004 Annual Conference (IEEE, 2004), pp. 1768–1773.
- E. Burke and E. Rutkowski, “Vehicle based independent tracking system (VBITS): a small, modular, avionics suite for responsive launch vehicle and satellite applications,” in Proceedings of the 6th Responsive Space Conference (American Institute of Aeronautics and Astronautics, 2006), pp. 1–6.
- Z. Y. Wang and Z. Y. Xu, “Study on stable tracking target with single photoelectric theodolite,” Optoelectron. Eng. 30, 11–14(2003).
- N. C. Kyun, A. G. E. Abdalla, N. K. Noordin, S. KhatunB. M. Ali, and R. K. Z. Sahbuddin,, “Modeling and simulation of phased array antenna for LEO satellite tracking,” Lect. Notes Comput. Sci. 2344, 359–371 (2002). [CrossRef]
- M. A. Zayan, “Resources minimization in the satellite navigation process,” in Proceedings of the IEEE Aerospace Conference (IEEE, 2006), pp. 1–9.
- L. Liu, The Theory of Spacecraft Orbit (National Defense Industry Press, 2000).
- R. H. Battin, An Introduction to the Mathematics and Methods of Astrodynamics, revised ed. (American Institute of Aeronautics and Astronautics, 1999).
- D. M. Yin, Y. Zhao, and Z. G. Li, “Determination orbit of synchronous satellite with short segmental arc,” Acta Astron. Sin. 48, 248–255 (2007).
- T. Ichikawa, “The orbit estimation for low thrust spacecraft,” in Proceedings of the SICE 2002 Annual Conference (IEEE, 2002), pp. 1839–1840. [CrossRef]
- Q. Li, F. C. Guo, and Y. Y. Zhou, “Observability of satellite to satellite passive tracking from angle measurements,” in Proceedings of the IEEE International Conference on Control and Automation (IEEE, 2007), pp. 1926–1931.
- R. Fabrizio and P. Giovanni, “Estimate problems for satellite clusters,” in Proceedings of the IEEE Aerospace Conference (IEEE, 2008), pp. 1–18.
- O. Montenbruck and P. Ramos-Bosch, “Precision real-time navigation of LEO satellites using global positioning system measurements,” GPS Solutions 12, 187–198(2008). [CrossRef]
- G. R. Hu and J. K. Ou, “The theory of GPS-based geometric orbit determination for low-earth satellites,” Chin. J. Space Science 20, 32–39 (2000).
- M. Cen, C. Y. Fu, K. Chen, and X. F. Liu, “Error-space estimate method for synergic target tracking,” J. Univ. Electron. Sci. Technol. Chin. 36, 217–219 (2007).
- J. Duník and M. Šimandl, “Estimation of state and measurement noise covariance matrices by multi-step prediction,” in Proceedings of the 17th IFAC World Congress (International Federation of Automatic Control, 2008), pp. 3689–3694.
- S. L. Sun, “Optimal and self-tuning information fusion Kalman multi-step predictor,” IEEE Trans. Aerosp. Electron. Syst. 43, 418–427 (2007). [CrossRef]
- L. G. Taff, “On initial orbit determination,” Astron. J. 89, 1426–1428 (1984). [CrossRef]
- A. Milani, G. F. Gronchi, D. Farnocchia, Z. Knežević, R. Jedicke, L. Denneau, and F. Pierfederici, “Topocentric orbit determination: algorithms for the next generation surveys,” Icarus 195, 474–492 (2008). [CrossRef]
- D. Hobbs and P. Bohn, “Precise orbit determination for low Earth orbit satellites,” Ann. Marie Curie Fellowships 4, 1–7 (2006).
- S. Katagiri and Y. Yamamoto, “Technology of precise orbit determination,” Fujitsu Sci. Tech. J. 44, 401–409 (2008).
- U. Gebhardt, O. Loffeld, and M. Kalkuhl, “Orbit tracking and interpolation using a realistic gravitation model,” in Proceedings of the IEEE International Symposium on Geoscience and Remote Sensing (IEEE, 2004), pp. 3767–3769.
- M. Cen, D. S. Luo, and X. F. Liu, “Comparison of two error-space estimate methods for space-earth optical communication,” in Proceedings of the International Symposium on Photonics and Optoelectronics (IEEE, 2009), pp. 1–5. [CrossRef]
- X. R. Li and V. P. Jilkov, “Survey of maneuvering target tracking. Part I: dynamic models,” IEEE Trans. Aerosp. Electron. Syst. 39, 1333–1364 (2003). [CrossRef]

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