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- José Gregorio Portilla B., TWO BODY AND MAIN SATELLITE PROBLEMS IN DIFFERENTIAL EQUATIONS OF FIRST ORDER , Revista de la Academia Colombiana de Ciencias Exactas, Físicas y Naturales: Vol. 20 No. 76 (1996)
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Abstract
Starting from the equations of perturbation of the KS-transformation, analytical integration of equations describing the motion of a perturbed satellite by sectorial harmonic J22 and K22 is developed. The series expansion is carried out to fourth power of the eccentricity. The symmetry between the differential equations allows integrate only two of the nine equations. A comparison between the theory and the direct numerical integration of the equations of movement is presented.
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References
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