Accession Number:

AD0274347

Title:

ON THE CRITICAL INCLINATION IN SATELLITE THEORY

Descriptive Note:

Corporate Author:

SMITHSONIAN ASTROPHYSICAL OBSERVATORY CAMBRIDGE MASS

Personal Author(s):

Report Date:

1962-03-14

Pagination or Media Count:

1.0

Abstract:

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 earths gravitational field. The traditional remedy to avoid the small divisor by developing into powers of square root of J sub 2 instead of J sub 2 fails even in this relatively simple case. A more involved converging development is given to represent the trajectories. The qualitative properties of the trajectories alter when the eccentricity at the critical inclination becomes smaller than a quantity of the order square root of J sub 2. For the case of small eccentricities the use of Poincare type variables is convenient. Author

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE