DETERMINATION OF THE BEST-FITTING REFERENCE ORBIT FOR A LEO SATELLITE USING THE LAGRANGE COEFFICIENTS

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SEIF M.R.; SHARIFI M.A.; NAJAFI ALAMDARI M.

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Journal: Journal of Aerospace Science and Technology Year:2011 | Volume:8 | Issue:1 Page(s): 37-44

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Title

DETERMINATION OF THE BEST-FITTING REFERENCE ORBIT FOR A LEO SATELLITE USING THE LAGRANGE COEFFICIENTS

Author(s)

SEIF M.R. | SHARIFI M.A. | NAJAFI ALAMDARI M. | Issue Writer Certificate

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Abstract

Linearization of the nonlinear equations and iterative solution is the most well-known scheme in many engineering problems. For geodetic applications of the LEO satellites, e.g. the Earth's gravity field recovery one needs to provide an initial guess of the satellite location or the so-called reference orbit. Numerical integration can be utilized to generate the reference orbit if a satellite's state vector, i.e. position and velocity is known at a reference epoch. However the numerically integrated orbit deviated from the real orbit due to imperfect force models. The more accurate the reference orbit the less linearization error occurs. The deviation between the reference and real orbit can be minimized using the least squares method. Different analytical and numerical techniques have been developed for calculation of the design matrix of the least squares method. Herein we have generalized the idea of the Lagrange coefficients for determination of the design matrix's entries in the gravitational field of an attracting inhomogeneous mass body. Numerical implementation of the proposed method shows its high performance.

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APA: Copy

SEIF, M.R., SHARIFI, M.A., & NAJAFI ALAMDARI, M.. (2011). DETERMINATION OF THE BEST-FITTING REFERENCE ORBIT FOR A LEO SATELLITE USING THE LAGRANGE COEFFICIENTS. JOURNAL OF AEROSPACE SCIENCE AND TECHNOLOGY (JAST), 8(1), 37-44. SID. https://sid.ir/paper/291004/en

Vancouver: Copy

SEIF M.R., SHARIFI M.A., NAJAFI ALAMDARI M.. DETERMINATION OF THE BEST-FITTING REFERENCE ORBIT FOR A LEO SATELLITE USING THE LAGRANGE COEFFICIENTS. JOURNAL OF AEROSPACE SCIENCE AND TECHNOLOGY (JAST)[Internet]. 2011;8(1):37-44. Available from: https://sid.ir/paper/291004/en

IEEE: Copy

M.R. SEIF, M.A. SHARIFI, and M. NAJAFI ALAMDARI, “DETERMINATION OF THE BEST-FITTING REFERENCE ORBIT FOR A LEO SATELLITE USING THE LAGRANGE COEFFICIENTS,” JOURNAL OF AEROSPACE SCIENCE AND TECHNOLOGY (JAST), vol. 8, no. 1, pp. 37–44, 2011, [Online]. Available: https://sid.ir/paper/291004/en

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