Third-Order Solution of an Artificial-Satellite Theory

Details Third-Order Solution of an Artificial-Satellite Theory Third-Order Solution of an Artificial-Satellite Theory

Jul 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977saosr.379.....k&link_type=abstract

SAO Special Report #379 (1977)

Computer Science

6

Scientific paper

A third-order solution is developed for the motions of artificial satellites moving in the gravitational field of the earth, whose potential includes the second-, third-, and fourth-order zonal harmonics. Third-order periodic perturbations with fourth-order secular perturbations are derived by Hori's perturbation method. All quantities are expanded into power series of the eccentricity, but the solution is obtained so as to be closed with respect to the inclination. A comparison with the results of numerical integration of the equations of motion indicates that the solution can predict the position of a close-earth, small-eccentricity satellite with an accuracy of better than 1 cm over a period of 1 month.

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