Study on Angles-only Initial Orbit Determination methods and development of a method suitable for optical observation for LEO

Document Type : Research Article

Authors

1 Faculty of Aerospace Engineering, Amirkabir University of Technology, Tehran, Iran

2 Iranian Space Research Center, Tehran, Iran

Abstract

The need to determine the orbit of satellites is inevitable, this orbit determination is done by signal, radar or optical methods, which according to the country's capabilities for this issue, we turned to the optical method, or in other words, Angles-only methods. In this article, we examined a variety of methods for Angles-only Initial Orbit Determination and finally found the Gaussian method suitable for our purpose. The Gaussian method has different approaches to the answer, and we developed an orbit determination with a new approach that aimed to eliminate the estimates and finally presented an extended method without any estimates. To test this method, a two-body simulation was performed and its error-free results indicate the correct development and accurate implementation of the method. Also, for the case with complete Perturbation and noise of more than 3arcsec, in comparison between this method and other classical methods and other articles, we find that the accuracy of this method for IOD with optical observation has better results or at the level of new IOD methods.

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References

[1] P.R. Escobal, Methods of Orbit Determination, in, John Wiley & Sons, 1965.
[2] P.R. Long AC, Luczak R, Goddard trajectory determination system (GTDS) mathematical theory, in:  National Aeronautics and Space Administration/Goddard Space Flight Center, FDD/552-89/001 and CSC/TR-89/6001 1989.
[3] D.A. Vallado, Fundamentals of Astrodynamics and Applications, 4th ed ed., Microcosm Press, 2013.
[4] M.D. Karimi RR, Initial orbit determination using multiple observations, Celestial Mechanic Dynamic Astronomy 109 (2011) 167-180.
[5] P.S. Hwang H, Lee E, Angles-Only Initial Orbit Determination of Low Earth Orbit (LEO) Satellites Using Real Observational Data, Astronomy Space Science, 36 (2019) 187-197.
[6] M. Henderson, Davis, Modifications to the gooding algorithm for angles-only initial orbit determination, in:  AAS 10-238, Astrodynamics Specialist Conference, 2010.
[7] G.J. Der, New angles-only algorithms for initial orbit determination, in:  AMOS Conference, 2012.
[8] O. Montenbruck, Satellite Orbits: Models, Methods, and Applications, Springer-Verlag, 2005.
[9] M.Mahooti, Initial orbit determination (Angles-only Method), in, mathworks.com, 2020.
Amirkabir Journal of Mechanical Engineering
Volume 56, Issue 3
2024
Pages 395-410

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