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The third-order theory of artificial satellites of the earth: A first exploration
Authors:Tong Fu  Wu Lian-da
Institution:

Purple Mountain Observatory, China

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.
Keywords:
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