The third-order theory of artificial satellites of the earth: A first exploration

Details The third-order theory of artificial satellites of the earth: A first exploration The third-order theory of artificial satellites of the earth: A first exploration

Dec 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982cha%26a...6..288t&link_type=abstract

Chinese Astronomy and Astrophysics, Volume 6, Issue 4, p. 288-292.

Astronomy and Astrophysics

Astrophysics

Scientific paper

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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