Features of the Dynamics of Objects Moving in the Neighborhood of the 1 : 3 Resonance with the Earth’s Rotation

Abstract

The paper presents the results of the study of the dynamic structure of near-Earth orbital space in the region of the 1 : 3 resonance with the Earth’s rotation. The results of an extensive numerical-analytical experiment to study the orbital evolution of objects moving in the range of semimajor axes from 20 250 to 20 280 km, with inclinations from 0 to 90 degrees, are presented. The zones of action of five components of orbital resonance and apsidal-nodal secular resonances of low orders are revealed. Maps of the distribution of identified resonances are given. The analysis of the dynamic structure of the orbital space using the fast Lyapunov characteristic (MEGNO) is presented, and the MEGNO map of the region in the plane section (orbit inclination, semimajor axis) is given. It has been shown that the dynamic evolution of most of the orbits is chaotic, which is due to the superposition of different types of resonances.