Solution for Inter-Satellite Linked Space-Time Network Using Reference and Transition Point Indicators

B. Oszczak, M. Grzegorzewski, J. Cwiklak

Abstract:	In this paper the new method for ISLs constellation network solution is given using the reference and transition point indicators (Oszczak, 2013a, Oszczak, 2014a). Basic equations and new computation algorithm for Inter-Satellite linked network are presented. Using the proposed solution the satellite coordinates and clocks biases from satellite time system can be determined. Definition of a transition reference satellite indicator with regard to determined satellite is introduced. Transition satellite indicator definition is based on the reference point indicator definition developed by the author (Oszczak, 2013a). On the basis of the definitions of these satellite indicators a solution for the sought satellite in Inter-Satellite network is presented. Closed-Form solution without application of the least squares method can be derived. In the paper the basic principles of the method for solving satellite positioning and timing problem in satellite network is presented. In four-dimensional space the reference point indicator can be defined as sum of squared reference satellite coordinates reduced by the squared distance from the reference satellite to the determined satellite. Reference point indicator definition was extended for additional unknown – satellite clocks bias. Reference point indicator definitions are also extended for n-reference point indicator definitions (Oszczak, 2013a, Oszczak, 2014a) which can be used for development of Inter-Satellite linked network for any number of satellites in the constellation. On the basis of n-reference point indicator definitions, a system of equations can be created and unknowns can be determined in four-dimensional satellite space-time system. Paper gives a new solution for determination of the point coordinates of GNSS receiver and receiver clock error with the use of linear equations. The article presents method to solve the problem, gives the formulas and explains the importance of the introduced unknown ?d.
Published in:	Proceedings of the 27th International Technical Meeting of the Satellite Division of The Institute of Navigation (ION GNSS+ 2014) September 8 - 12, 2014 Tampa Convention Center Tampa, Florida
Pages:	2363 - 2370
Cite this article:	Oszczak, B., Grzegorzewski, M., Cwiklak, J., "Solution for Inter-Satellite Linked Space-Time Network Using Reference and Transition Point Indicators," Proceedings of the 27th International Technical Meeting of the Satellite Division of The Institute of Navigation (ION GNSS+ 2014), Tampa, Florida, September 2014, pp. 2363-2370.
Full Paper:	ION Members/Non-Members: 1 Download Credit Sign In