ANALYTICAL INTEGRATION OF MOVEMENT EQUATIONS OF A SATELLITE PERTURBED BY SECTORIAL HARMONICS J22 AND K22 IN TERMS OF THE KS TRANSFORMATION
Vol. 20 No. 76 (1996), Natural Sciences
Vol. 20 No. 76 (1996)

ANALYTICAL INTEGRATION OF MOVEMENT EQUATIONS OF A SATELLITE PERTURBED BY SECTORIAL HARMONICS J22 AND K22 IN TERMS OF THE KS TRANSFORMATION

Natural Sciences
https://doi.org/10.18257/raccefyn.20(76).1996.3015
Published 2024-08-09
José Gregorio Portilla B.
Observatorio Astronómico Nacional, Facultad de Ciencias, Universidad Nacional de Colombia. Apartado Aéreo 2584, Santafé de Bogotá, Colombia.
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How to Cite

Portilla B., J. G. (2024). ANALYTICAL INTEGRATION OF MOVEMENT EQUATIONS OF A SATELLITE PERTURBED BY SECTORIAL HARMONICS J22 AND K22 IN TERMS OF THE KS TRANSFORMATION. Revista De La Academia Colombiana De Ciencias Exactas, Físicas Y Naturales, 20(76), 15–23. https://doi.org/10.18257/raccefyn.20(76).1996.3015
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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.

https://doi.org/10.18257/raccefyn.20(76).1996.3015

Keywords

Celestial mechanics | artificial satellites | potential
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References

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