To the substantiation of a numerical-analytical method for revealing secular resonances
The results of the substantiation of a numerical-analytical method for the determining secular frequencies in the process of revealing secular resonances in the dynamics of circumplanetary objects are presented. The presented technique combines two approaches: a traditional analytical approach and a numerical one. Each of the approaches has its special features. The analytical approach is not suitable when working with large eccentricities, since it uses formulas obtained for small eccentricities, and the formulas that implement the numerical approach have irremovable features for small eccentricities and orbital inclinations. Since a special feature of the influence of secular resonances is the increase in the eccentricities from zero values to values close to unity, combining these two approaches makes it possible to obtain reliable results. This is confirmed in the article by examples of studying the influence of secular resonances on the dynamics of circumlunar objects.
Keywords
secular resonances,
numerical simulation,
AMS dynamics,
orbital evolutionAuthors
| Popandopulo N.A. | National Research Tomsk State University | nikas.popandopulos@gmail.com |
| Aleksandrova A.G. | National Research Tomsk State University | aleksandrovaannag@mail.ru |
| Bordovitsyna T.V. | National Research Tomsk State University | tvbord@sibmail.com |
Всего: 3
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