The third-order theory of artificial satellites of the earth: A first exploration |
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Authors: | Tong Fu Wu Lian-da |
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Institution: | Purple Mountain Observatory, China |
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Abstract: | We propose a mixed analytical and numerical method as a practical means of solving the perturbation equations based on Vinti's intermediate orbit. Hori's averaging method is used to define mean elements σ* and short-period perturbations Δσs. Δσs accurate to the third-orbit, are found by Fourier analysis, and dσ*/dt, accurate to the fourth order, from numerical averaging. The present procedure can be used to reduce satellite laser observations with a high precision. |
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