Studying the Dynamics of Multiplets of Orbital Resonances of Asteroids with Small Perihelion Distances

The study of orbital resonances in the dynamics of asteroids and major planets is important from the point of view of solving the asteroid hazard problem. In the course of such studies, there is often a need to analyze a large number of time series of resonant (critical) arguments, since to complete the picture it is necessary to consider not only the main argument, but also the entire multiplet. To work with multiplets, we developed an algorithm and program for classifying the behavior of the resonant argument, which were applied to the study of the dynamics of resonant objects with small perihelion distances. The paper presents the results of constructing and analyzing resonance multiplets for 13 such asteroids. The study showed that in order to identify the features of the resonant interaction of the studied asteroids with planets, in most cases it is enough to consider the behavior of the main critical argument. The use of a program to automate the process of classifying the behavior of arguments significantly reduced the time spent and the likelihood of random errors in the process of processing the received data.