O the Critical Inclination in Satellite Theory

Details O the Critical Inclination in Satellite Theory O the Critical Inclination in Satellite Theory

Mar 1962

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1962saosr..90.....i&link_type=abstract

SAO Special Report #90 (1962)

Physics

18

Scientific paper

The long-range perturbations of an artificial satellite are investigated in the vicinity of the critical inclination, considering the effect of the second and fourth zonal harmonics in the earth's gravitational field. The traditional remedy to avoid the small divisor by developing into powers of √J2 instead of J2 fails even in this relatively simple case. A more involved converging development is given to represent the trajectories. The qualitative properties of the t trajectories alter when the eccentricity at the critical inclination becomes smaller than a quantity of the order √J2. For the case of small eccentricities the use of Poincaré-type variables is convenient.

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