Zheng Wenhu. A Calculation Method to the Perturbation of a Satellite Caused by the Gravitation Field of the Earth[J]. Applied Mathematics and Mechanics, 1997, 18(2): 153-160.
Citation: Zheng Wenhu. A Calculation Method to the Perturbation of a Satellite Caused by the Gravitation Field of the Earth[J]. Applied Mathematics and Mechanics, 1997, 18(2): 153-160.

A Calculation Method to the Perturbation of a Satellite Caused by the Gravitation Field of the Earth

  • Received Date: 1995-10-09
  • Rev Recd Date: 1996-03-10
  • Publish Date: 1997-02-15
  • 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 resull, the equation about how the position and velocity of the satellite vary with time is deduced.
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  • [1]
    W.H.Goodyear,Completely general closed form solution for coordinates and partial derivatives of two-body problem,The Astronomical Journal,70(3) (1965),189-193.
    [2]
    R.H,Gooding,Orbit determination of a man-made earth satellite,Royal Aircraft Establishment TR,7416(1974),125-145
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      沈阳化工大学材料科学与工程学院 沈阳 110142

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