Investigation of dynamics of a region with high-order orbital resonances
In this paper, the regions of orbital resonances 1:5, 1:7, 1:9, 1:10, and 1:11 at the Earth's rotation speed are considered. The motion of objects is simulated using the improved software package "Numerical Model of the Motion of AES Systems" on the SKIF Cyberia cluster of the National Research Tomsk State University. The modeling is performed with account for the effect of geopotential harmonics up to a degree and order of 10, as well as the attraction of the Moon and Sun. As a result, the maps of the distribution of orbital resonance multiplets and the MEGNO maps have been obtained for each region. All the regions are examined for the presence of real objects. The obtained data show that the chaotization of motion in the regions 1:5, 1:7, and 1:9 occurs due to the superposition of other different resonances on the second component of the orbital resonance. In the regions 1:10 and 1:11, the orbital resonance does not affect the chaotization of motion. All real objects located in the regions under consideration are not exposed to the effect of orbital resonances.
Keywords
orbital resonances,
MEGNO-map,
dynamics,
chaotization of motionAuthors
| Blinkova Evgeniya V. | Tomsk State University | zbizk322@mail.ru |
| Bordovitsyna Tat’yana V. | Tomsk State University | tvbord@sibmail.com |
Всего: 2
References
Томилова И.В., Блинкова Е.В., Бордовицына Т.В. Особенности динамики объектов, дви жущихся в окрестности резонанса 1:3 с вращением Земли //Астрономический вестник. 2019. Т. 53, № 5. С. 323-338.
Томилова И.В., Блинкова Е.В., Бордовицына Т.В. Особенности динамики объектов, дви жущихся в зонах орбитальных резонансов 1:4, 1:6 и 1:8 с вращением Земли // Астрономический вестник. 2021. Т. 55, № 5. С. 427-443.
Кузнецов Э.Д., Захарова П.Е., Гламазда Д.В., Шагабутдинов А.И., Кудрявцев С.О. О влия нии светового давления на орбитальную эволюцию объектов, движущихся в окрестности резонансов низких порядков // Астрономический вестник. 2012. Т. 46, № 6. С. 480-488.
Celletti A., Gales C. Dynamical investigation of minor resonances for space debris // Celestial Mechanics and Dynamical Astronomy. 2015. V. 123. P. 203-222.
Celletti A., Gales C. Dynamics of resonances and equilibria of Low Earth Objects // SIAM Journal on Applied Dynamical Systems. 2018. V. 17. P. 203-235.
Celletti A., Gales C., Lhotka C. Resonances in the Earth’s space environment// Commun. Nonlinear Sci. Numer.Simulat. 2020. V. 84. P. 105-185.
Cincotta P.M., Girdano C.M., Simo C. Phase space structure of multi-dimensional systems by means of the mean exponential growth factor of nearby orbits // Physica. D. 2003. V. 182. P. 151-178.
Каталог элементов NORAD. URL: https://celestrak.org/NORAD/elements/
Александрова А.Г., Бордовицына Т.В., Чувашов И.Н. Численное моделирование в зада чах динамики околоземных объектов // Известия вузов. Физика. 2017. Т. 60. С. 69-76.
Авдюшев В.А. Интегратор Гаусса-Эверхарта // Вычислительные технологии. 2010. Т. 15, № 4. С. 31-47.
Allan R.R. Resonance effects due to the longitude dependence of the gravitational field of a rotating primary // Planetary and Space Science. 1967. V. 15. P. 53-76.
Allan R.R. Satellites resonance with the longitude dependent gravity. II. Effects involving the eccentricity // Planetary and Space Science. 1967. V. 15. P. 1829-1845.
Lane M., Hoots F. Project Space Track Report No. 2 / Aerospace Defense Command. 1979.
Александрова А.Г., Блинкова Е.В., Бордовицына Т.В., Попандопуло Н.А. Томилова И.В. Вековые резонансы в динамике объектов, движущихся в областях LEO-MEO околоземного орбитального пространства // Астрономический вестник. 2021. Т. 55, № 3. С. 272-287.
