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A Numerical Approach to GPS Satellite Perturbed Orbit Computation

Published online by Cambridge University Press:  09 August 2007

Stelian Cojocaru
Stelian Cojocaru
Affiliation:
(NATO Maritime Component Command, Naples) (Email: cojocarus@yahoo.com)
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Abstract

This paper proposes a numerical algorithm designed to integrate the GPS satellite perturbed orbit. The numerical solution is applied to integrate the differential equation of perturbed motion that frames the significant perturbing accelerations. Perturbing potentials are given and the corresponding accelerations in Cartesian coordinates are subsequently deduced. The C++ program that implements a fourth-order Runge-Kutta algorithm is described and comment is made on the perturbed orbit integration results. The paper offers a set of conclusions that will hopefully create a quantitative and qualitative image of GPS orbital perturbations and open a few ways ahead.

Keywords

GPS satelliteOsculating elementsNumerical integration
Type
Research Article
Information
The Journal of Navigation , Volume 60 , Issue 3 , September 2007 , pp. 483 - 495
Copyright
Copyright © The Royal Institute of Navigation 2007

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