Perturbation in Eccentricity in Brouwerlyddane Theory

摘要

The Brouwer theory for the orbit of a near earth satellite requires that as the eccentricity tends to zero, the long period perturbation in eccentricity tends to a finite value dependent on the ratio of the odd degree harmonic coefficients to the second degree harmonic coefficient. With the Lyddane correction to the Brouwer theory, however, it is found that the long period perturbation in eccentricity tends to zero. For satellite 1963 22A, the Brouwer formula is in error by only 12 per cent. (Author)