A new approach to calculation of secular frequencies in the dynamics of near-Earth object in orbits with large eccentricities
A modified method for identifying and studying secular resonances in the dynamics of near-Earth objects is described. Unlike the traditionally used approach, based on approximate analytical formulas for calculating secular frequencies that are valid only for small eccentricities, the proposed method uses exact values obtained in the process of numerical simulation of motion from the Newton-Euler equations. This technique can be used in the analysis of the dynamics of objects with any eccentricities of the orbits, but its application to the study of motion along orbits with large or rapidly growing eccentricities is most interesting. This fact is clearly demonstrated by the above examples.