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GPS Satellite State Vector Determination in ECI Coordinate System using the Civil Navigation Message

Published online by Cambridge University Press:  02 July 2013

Ghangho Kim ,
Sanghoon Jeon ,
Changdon Kee ,
Tae Soo No ,
Kiho Kwon  and
Seungwoon Choi
Ghangho Kim
Affiliation:
(School of Mechanical and Aerospace Engineering and SNU-IAMD, Seoul National University, Republic of Korea)
Sanghoon Jeon
Affiliation:
(School of Mechanical and Aerospace Engineering and SNU-IAMD, Seoul National University, Republic of Korea)
Changdon Kee*
Affiliation:
(School of Mechanical and Aerospace Engineering and SNU-IAMD, Seoul National University, Republic of Korea)
Tae Soo No
Affiliation:
(Department of Aerospace Engineering, College of Engineering, Chonbuk National University, Republic of Korea)
Kiho Kwon
Affiliation:
(Department of Satellite Electronics in Korea Aerospace Research Institute, Republic of Korea)
Seungwoon Choi
Affiliation:
(Department of Satellite Electronics in Korea Aerospace Research Institute, Republic of Korea)
*
(E-mail: [email protected])
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Abstract

A closed form of an algorithm to determine a Global Positioning System (GPS) satellite's position, velocity and acceleration is proposed, and an Earth Centred Earth Fixed (ECEF) to Earth Centred Inertial (ECI) transformation result using the Civil Navigation (CNAV) message is presented in this paper. To obtain the closed form of the GPS satellite velocity and acceleration determination algorithm using the CNAV, we analytically differentiated the IS-GPS-200F position determination function. The calculated data are transformed from the International Terrestrial Reference Frame (ITRF) to the Geocentric Celestial Reference Frame (GCRF) using an equinox-based transform algorithm that is defined in the IAU-2000 resolution system using the Earth Orientation Parameter (EOP) data. To verify the correctness of the proposed velocity and acceleration determination algorithm, the analytical results are compared to the numerical result. The equinox-based transformation result is compared to simple rotation about the z-axis, which does not use the EOP. The results show that by using the proposed algorithm and the equinox-based transformation together, the user can obtain more accurate navigation data in the ECI frame.

Keywords

GPS VelocityGPS AccelerationCivil Navigation (CNAV)ECI
Type
Research Article
Information
The Journal of Navigation , Volume 67 , Issue 1 , January 2014 , pp. 1 - 16
Copyright
Copyright © The Royal Institute of Navigation 2013 

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References

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