Special Features of the Structure of Secular Resonances in the Dynamics of Near-Earth Space Objects

Abstract

The special features of the structure of secular resonances in the near-earth orbital space bounded by the following range of orbital parameters: semimajor axis from 8000 to 55 000 km, inclination from 0 to 90°, and eccentricity equal to 0.01, 0.6, and 0.8 are analyzed. The influence of stable and unstable secular resonances on the long-term orbital evolution of near-earth space objects is also considered. It is demonstrated that the joint effect of the stable secular resonances of different spectral classes does not violate the regularity of motion. The chaoticity arises when stable secular resonances of one spectral class are imposed.