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An averaging method to study the motion of lunar artificial satellites II: Averaging and Applications

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Abstract

On this, the second part of a two part study (Steichen, 1998) we further develop a semi-analytical theory for a lunar artificial satellite. This theory is obtained by averaging analytically the Hamiltonian function over period up to a month. The averaged equations are then numerically integrated. The solution is free from singularities at e = 0 and I = 0 and is not expanded in powers of these variables. In the last section, the analytic work is applied to characteristic examples to validate the method used.

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Authors and Affiliations

  1. Service des Calculs et de Mécanique Céleste du Bureau des Longitudes, 77 Avenue Denfert Rochereau, 75014, PARIS, France

    Daniel Steichen

  2. Département de Mathématique, Faculté de Namur, Rempart de la Vierge 8, 5001, NAMUR, Belgique

    Daniel Steichen

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  1. Daniel Steichen
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Steichen, D. An averaging method to study the motion of lunar artificial satellites II: Averaging and Applications. Celestial Mechanics and Dynamical Astronomy 68, 225–247 (1998). https://doi.org/10.1023/A:1008232025381

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  • DOI: https://doi.org/10.1023/A:1008232025381

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