COMPARISON OF NUMERICAL INTEGRATION METHODS IN ORBIT DETERMINATION OF LOW EARTH ORBITING SATELLITES

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ESHAGH M.; NAJAFI ALAMDARI M.

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Journal: Journal of the Earth and Space Physics Year:2006 | Volume:32 | Issue:3 Page(s): 41-57

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Information Journal Paper

Title

COMPARISON OF NUMERICAL INTEGRATION METHODS IN ORBIT DETERMINATION OF LOW EARTH ORBITING SATELLITES

Author(s)

ESHAGH M. | NAJAFI ALAMDARI M. | Issue Writer Certificate

Keywords

NUMERICAL SOLUTIONQ2

PREDICTOR-CORRECTORQ3

PERTURBATIONSQ3

DIFFERENTIAL EQUATIONSQ3

ERRORQ4

Abstract

Comparison of some numerical integration methods of solving the differential equation of motion of a satellite is the main subject of this paper. Since the equation of motion of a satellite is a second order differential equation, therefore, six initial values should be introduced to the NUMERICAL SOLUTION. These six initial values are the components of position and velocity vectors in an inertial frame respectively. Comparing numerically integrated position and velocity vectors with Keplerian orbit; one can obtain the bias of the numerical integration method in a satellite-centered coordinate system. In this research, three methods of Runge-Kutta, Runge-Kutta-Nystrom, and the PREDICTOR-CORRECTOR method of Adams-Bashforth and Adams- Moulton are investigated for a low earth orbiting satellite. Numerical results show that with integration size of 30 seconds, the Runge-Kutta method, Adams-Bashforth and Adams-Moulton PREDICTOR-CORRECTOR algorithms, and Runge-Kutta-Nustrom provide closer orbit to the theoretical orbit respectively.

Cites

ENHANCING EFFICIENCY OF SOFTWARE FAULT TOLERANCE TECHNIQUES IN SATELLITE MOTION SYSTEM

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APA: Copy

ESHAGH, M., & NAJAFI ALAMDARI, M.. (2006). COMPARISON OF NUMERICAL INTEGRATION METHODS IN ORBIT DETERMINATION OF LOW EARTH ORBITING SATELLITES. JOURNAL OF THE EARTH AND SPACE PHYSICS, 32(3), 41-57. SID. https://sid.ir/paper/80655/en

Vancouver: Copy

ESHAGH M., NAJAFI ALAMDARI M.. COMPARISON OF NUMERICAL INTEGRATION METHODS IN ORBIT DETERMINATION OF LOW EARTH ORBITING SATELLITES. JOURNAL OF THE EARTH AND SPACE PHYSICS[Internet]. 2006;32(3):41-57. Available from: https://sid.ir/paper/80655/en

IEEE: Copy

M. ESHAGH, and M. NAJAFI ALAMDARI, “COMPARISON OF NUMERICAL INTEGRATION METHODS IN ORBIT DETERMINATION OF LOW EARTH ORBITING SATELLITES,” JOURNAL OF THE EARTH AND SPACE PHYSICS, vol. 32, no. 3, pp. 41–57, 2006, [Online]. Available: https://sid.ir/paper/80655/en

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