Abstract
In this paper, with the application of the Delauney variables, according to the Hamilton equations, the influence on the perturbation of a satellite exerted by the gravitational force of the earth through canonical transformation has been found out. As a result, the equation about how the position and velocity of the satellite vary with time is deduced.
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References
W. H. Goodyear, Completely general closed form solution for coordinates and partial derivatives of two-body problem.The Astronomical Jornal,70, 3 (1965), 189–193.
R. H. Gooding, Orbit determination of a man-made earth satellite,Rayal Aircraft Establishment TR., 74164 (1974), 125–145.
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Communicated by Ma Xinrui
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Wenhu, Z. A calculation method to the perturbation of a satellite caused by the gravitation field of the earth. Appl Math Mech 18, 163–171 (1997). https://doi.org/10.1007/BF02458016
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DOI: https://doi.org/10.1007/BF02458016